Question
one:
You
have been asked to put together a capacity plan for a critical operation at a
company. Your capacity measure is number of machines. Three products (men’s,
women’s, and children’s sandals) are manufactured. The time standards
(processing and setup), lot sizes, and demand forecasts are given in the
following table. The firm operates three 8-hour shifts, 5 days per week, 50
weeks per year. Experience shows that a capacity cushion of 5 percent is
sufficient.
|
Time
Standards
|
Time
Standards
|
|
|
Product
|
Processing
(hr/pair)
|
Setup
(hr/pair)
|
Lot
size
(pairs/lot)
|
Demand
Forecast
(pairs/yr)
|
Men’s
sandals
|
0.5
|
0.05
|
240
|
90,000
|
Women’s
sandals
|
0.10
|
2.2
|
180
|
50,000
|
Children’s
sandals
|
0.02
|
3.8
|
360
|
140,000
|
How
many machines are needed? 15
marks
To
calculate the total number of machine needed we will use the following formula.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAlkAAALFCAYAAADwXPZ/AAAgAElEQVR4AeydjZXUuBJGSYEYSIEcCIEYSIEMyIAMiIAISIAEyIAc5u2d3W9eIWRZ7r+xu6/O8diWSqWqK7lU7W523zxZJCABCUhAAhKQgAQuTuDNxTWqUAISkIAEJCABCUjgySTLRSABCUhAAhKQgASuQMAk6wpQVSkBCUhAAhKQgARMslwDEpCABCQgAQlI4AoETLKuAFWVEpCABCQgAQlIwCTLNSABCUhAAhKQgASuQMAk6wpQVSkBCUhAAhKQgARMslwDEpCABCQgAQlI4AoETLKuAFWVEpCABCQgAQlIwCTLNSABCUhAAhKQgASuQMAk6wpQVSkBCUhAAhKQgARMslwDEpCABCQgAQlI4AoETLKuAFWVEpCABCQgAQlIwCTLNSABCUhAAhKQgASuQMAk6wpQVSkBCUhAAhKQgARMslwDEpCABCQgAQlI4AoETLKuAFWVEpCABCQgAQlIwCTLNSABCUhAAhKQgASuQMAk6wpQVSkBCUhAAhKQgARMslwDEpCABCQgAQlI4AoETLKuAFWVEpCABCQgAQlIwCTLNSABCUhAAhKQgASuQMAk6wpQVSkBCUhAAhKQgARMslwDEpCABCQgAQlI4AoETLKuAFWVEpCABCQgAQlIwCTLNSABCUhAAhKQgASuQMAk6wpQVSkBCUhAAhKQgARMslwDEpCABCQgAQlI4AoETLKuAFWVEpCABCQgAQlIwCTLNSABCUhAAhKQgASuQMAk6wpQVSkBCUhAAhKQgARMslwDEpCABCQgAQlI4AoETLKuAFWVEpCABCQgAQlIwCTLNSABCUhAAhKQgASuQMAk6wpQT1H5+/fvp8+fPz99+PDhlO6H6vPjx4+nN2/evBxv3759+vLly6F80NjbEXC93I71o45E/Kkx6d27d0/fv39/VByrfrNPffr06Yl9yzImYJI15nOz1ntetD9//vyLI/4msWITnU200OWD/RfOw1f01kh1yvVSaXh9CoG1NUaSRSyifP369Tnpyv1ovEeMScRgkqz379+P0Nj2DwGTrB0sgyQZveShfsJKUrIDk6dN4EH89u3bX/I8nDWA4dvMA0tAu+QnKDbvfIKt9vxl8A4rjr42gnRpjaSds+ul0nid6yOvt7U1RuwlDtRCbODbhbVyiZh01DjEG79efF9j9kjtf66qR/J8R77yIBMEeoXAxgN4xILtHG3pBbQkmq1s756gdmkm9VNsb8w91h15bYTn0hpJO2fXS6XxetdHXW8za4yvBtuYQr+PHz9OAb9UTDpaHBrtXVPgHkDIJGsHk8zDzQPdK0cNbL9+/XriU06vkFD1Alpb1+ubupnAGdmZ89GCGz4ddW1kPkZrJDKcXS+VxutdH3G9za6xXjwZxeXeLPR09ORGdUeLQ0dcEyP+12gzyboG1Y06Rw/zURcxb+b4XUOv4FP7Gh4GbV2vb+p4u8HvuDhfohwtuOHzUddG5mu0RiITP9u14XqphG5zfcT1NrvGWE/1h+6JL7VujXL6nBOTjhaHjrgm1ubx0u0mWZcmeoI+Xkm3m0jUHHERrwWbNqDxpoLgwqfOLQVul/o9wNGCG5yOuDYyv2trJHKcXS+VxutdH229bVljPP81OcLXpTfxoxk4NyYdLQ4dbU2M5u5abSZZ1yK7Qe9ooY7aMgQPZj349FYDRuRudebT3+hH7Alo2EiSxBupU5Il3pTN/mZizfejBTf8WVsbJCd1XXDPb0f2UNbWSLXR9VJpvN712nqra43rvcehkORDXuIVH/Twk5h0yrNybkyCG/YcpYxeEBzFh2vbaZJ1bcIT+tlweKh7ZS2w0afKECQIGGyolypbdWEPAbZX8k+jE5Cxdcsr+aqTYLTErcrNXO8huJ3CedQnbwjxn4SWOYHXNRJw5nzL5jBaI3W+XC+VxuWumSvmYEtBfrTeavs14hD6r7HGSBQSjzhzf0qCBUvsOycm7SEObVkT/uvCdVomWeuMri5BQOLh6m1+NXAtGcJXjcil8KAv6YvMlvMosPb0IF/t6clcog5e+HmJsofgtpXz2togeW114uepSe2IM7Zs2QBvtUaqzfe2XqpvW6+Zq63P6Np6u3YceoQ1toc4tGUtHc3eLb5dSvYyO9SlrHlgPUuLdS2wgYy3Qe0Ghz4+jXHwyYo3AvlqDvleQreEv92ol+RSjzzj3aIsccvY+Ik9yHEs/fZtTU/0XfO8lfPa2mg3PWyvc1PfbIXRKV/boveUDfBWawT7Utbm+UjrJT6dcr5GkjWKQ3ClPW+JeANCXNryxuhe1hg+4z9rEQb1mVtbn6fM9TX7YK9lTEBCYz43aSUAsVg5t2VtI0W+XegE0NTRn4PgloeZB7xNytpx6/3WzR/5LfrrWFuv8XM0Fhs5vlMIbktfY67p2WrXKfJbOa+tjd48xE/eZsGDe/Sw9lgfW22In+gYzUPkcu7ZlrZrnuP/0hhHWi9LPszUM1fM2Zaytt5gWwtjpA6urDkSrYzLs5jr2m/pGtl7WGPEo3zA4Jy4jN9r63OJzWvVYy/fxFiWCfz5VCzL2XJFAgSbJALtMGuBjaBD4KqFPrWOe44U2kbBKsGRB6h3VF3RWc+9DbSnZ7au6m6v0THyhQAw87uBNT3tuJe4h+OIwcgvxqf/KClCd03cM6+1jk/Sue99vTjyc2T7yC509tZIHWuke62t6mmv6Tviuuf10vqy9R7mI3Zr+kbrDaY15qAL+VqHTF0XvTetrQ0je6uuth/3e11jSTZ763Btffb8fM065nDpg+tr2rWnsU2yXnk2CEQkAdnoWnNGgQ1Z2utXYOhpX0ETbPJpgzMP8tJ47fjcrwWztg/yBJJblJmgxBsbkthRMJjRc21/tnIerY3epof+ygCZes91XUtb/MWW3qaxpOOWa6TaMDPPR1kv1a+t18wVc7aljNYbbXXt9OIQMvWtDXFvS5yg/72ssSRalQdzMbM+t8zZtWWZZxJp5sbSJ2CS1edy01qC09IGy+JdasPIulnlwa0bJzI8uDwMeSBqMKR9rYzG7/VFfvahi83YuDXoMjb9kkC2ttQkIsllK5P7PQS3rZxHa4O2zHOSBoIhayClyhDsSc6XWKbP0hldWzdA+mwtrpetxPryl06yZuJQlSFG1bdcfSv/rL3VGmMcYhExAZt5fraUUUxCdxIrzu0zv4c4tMVX7G/3my39H0HWJGsHs8zGt/Rg8lC2D2JM5uGnXw4CA/K1EEx5i5OgkY23yqxdL42/1I+HrrWjJ5uNPZszv09go58t8X9JHr3xG735HURPfg/BbSvnpbXBeorf+IXvzElNsGDAeKwHZJDfuplUjtiSeaz1S9eza6T2d71UGuddM1czz2gdZWm95TkcxSH0kFSx5pDj3K7HOlbv+hZrjHWJnfmwQexc+ilHz8aw6LVRlxiXZ659Zqhv65Z07aEee8NqD/bs0QaTrJ3MytLDtRTYZs2mP8c5ZevmTyBZ60OAZfPPp7rYt8Qh7fWctxq17tTrLeOeOsZavzVmbf9z1wY+X6pgy5bNYWaNVNtcL5XG+deXTLJmrGG8reu71XvtNYaNPBM1aUhda8vS/bkxaQ9xaMm3Xj32bk2We3ruue5yUfaeKV3Zt9Gnn3M3Uj6FEShuWfBn7Y0UyRVvT9rCQ0v/mcJbmFPezPV0Hy244cM5awPG5256PY6zdTNrpOpyvVQar3N9znojqab/LcvWNcZbLI5aiJ1rsazKnxuTjhaHjmZvnatbXZtk3Yr0YBwC0NLvE84JbAxJgLhUIjJw4a+mta+fSP5au7Z+alwb4y+jBhVHDBbnrA3W3CX5DdAuNm0Z3/WyiPFmDeesN+aPpP7Wbz22rDFiJW+iatnq85bx6ji5PlocYk5hZFkmYJK1zOZmLSQbBKFe2fqQ93S8Rh1vHtpPhdUOkso2oCG/xKH25ZqE7JJvYo4W3GBw1LWB7ZS1NfKv1L9/XS+VxutcH3G9za4xkj9iQJsEkjTxgWSmXCImHS0OjfauGWaPIGOStYNZHn0aOGJgC9L6A9LU5cynRoJSCr+DaOvS1jvDrPbvyWypO1pww7cjr43MzWiNRIZzuzZcL5XOba6Put5m1hhfLRIDauFDIOuuTbyqTL2+RExai0Mkjcj0bCIhpJAU9mSwb/TBt/oye33UNTHr3yXk/lxVl9Cojs0E7jXJyu9+egGBN1Z5a8WGSSCcDQAEER7uS5a14HbJsS6l6x4C3GiNVE6ul0rjda6Put5m1xgJVd5a8QGOe5KamXKpmDQTh4iVa6UnQ9IY/9b6z7YfdU3M+ncJOZOsS1A8UwfJRfv7pKhkEfPgcXB9tEKA6yVPJFYkl/i15ZX8pQNFbKjBjUCUAMs5gYRr7KaQOKYvc8c9flTZXnJ5yfk7+toIi6U1knbOe14vrIN8YGBO2KA5WFOt7bRTjrLGno3978+R19vMGmPOeIaZN5IU7mfKJWJSYkmNQ4yN3bGJcRJ3kCceJcbQL2uLuqxHdBCfaEe++pR6fKVP4jDxGv2pQ287HnoptNWx/q31byVgklVpvNI1n5ZY4I9Y2Gx6n7pekwXBjKBCsCEoEZwIdtRxphBYaEO2XlfZBMDX9OXext7jemEdsDYorIVsdvlwQRvPOOuBzY7iGnvGsMs/zOHSh95bGpwkh5jD+mGdtfEoMYY1RxuFc9Yg56zDGmep51niwwt7D31Yk1zng2TqRjEN+dm3fbdkt6exTLI6s8HiIhhyZBFHjIVaF2Lqzz2jl4ehHe9cvXvvzwMNZwJJHvo92MwcUwg8CVjZSJmjrA8CchIv5BJwIrsHX+7Jhr2uF+Y7mxvrgGvWBfbWzY0NK8U1FhL7OvMMMzc856+ZbGFHO/5SjCEOpWT9cc/ay55SZagnhnEmxlGq7ueKpq7GNHSyX1X96eP5TwImWX/yeLljQSVwppJFT5BsF37azzln0daFfI6+I/XlYeWBvwbXUziwOSYgYRMbJvPD3BCQuCe4UGpimISLjTXXp4xvnzGBva0XrCUusEll7lkXFNZS1gprCdtT7xp7RrG7PzzrzBlzmg9Nr2Ek64k1gz1ZT4krWWf5gEds4jpxijMyxFWu0RMZfEk9sSxJVnRXX1PXG4+1jG7LmIBJ1gIfFhCLkkVIYTGx4Hj4sigXulp9cAIEtAS1bJAEmRp0qSdQEQhT8maCYEfbawbo2OT5NgTqBpa3IBmZNtYD52xKrrHQ8bxEIDGH9ZRkainGEJuSwGefSnJFG/tYjV8kXaxJZLMmo7vakzpjWqWy7dokq8OLxc0i5MgmypnkioWZRdl2RYb2pSMJW9vPewlIQAISkIAE7o+ASVZnTnkDQUJF0sRB0sWnBJKkvNnodLNKAhKQgAQkIAEJvBAwyXpB8f8LEioSK5ItrnNPwsX1JcvSWy/rl98IykY2rgHXgGtgX2vgkvviPekyyerMJr+doOR7bJIrCvWj39kgN3rw/brwGaN/JCABCUhAAg9BwCSrmWZ+4JevBHmbxQ//+A0WBwmUP3pvgHkrgQciwAcpYgKxoP6Q+IEQ6KoEJLCBgElWAysBtE2m6r8Qarp4KwEJHIRA/pXWKebyD2H4AJY30vx0oI0TM3qxYekfz8z0V0YCEjgOAZOs48yVlkpg9wTqV+b5mn0vRpMUjb7uH9lJYsXbq3OStOhHB7asJVr5YMe4Seyiw7MEJHAMAiZZx5gnrZTAIQiQWOU3jXsyGLvOSfpIijguVUi0ZjmZZF2KunokcHsCJlm3Z+6IErhbAntMsvLbynOg8/urU74aHI05m/iZZI0o2iaBfRMwydr3/GidBA5FYI9JFm+g8l/wPwVm/tHL2td7W3Wjj+RtTa9J1layyktgPwRMsvYzF1oigcMT2FuSNZvIjMDz1R6JzjUK/1uTtd+JmWRdg7w6JXAbAteJHLex3VEkIIGdEdhbksVXfPlPspyDijdOeRvG14/oXHsDNTMeOkm0RsUka0THNgnsm4BJ1r7nR+sk8CoE8i/bklhgROpGb17WkiwSE2RIWm5RGOsSP1jH5/znXUh6LqET//lXg2ssTLJusVIcQwLXIWCSdR2uapXAoQmw+ZNU1bdAvBVa+xdxoySLr934b02RuJE43KJgLzbttZB0rrEwydrr7GmXBNYJ3CbSrduhhAQksCMCvLnJWxa+HqOQHNU3Wz1zR0lW5NG7llhE9twzSdaazeeOcW7/tSRqrf3c8e0vAQlcj4BJ1vXYqlkChyXA12G8Zak/zKaOt1Gjsscki6Ruz2UtiVpr37Nv2iaBRydgkvXoK0D/JdAhkB9j80Yr1/Wrw06X56qjJVkkMLc6lpitJVFr7Ut6rZeABF6fgEnW68+BFkhgVwT4ejA/7M5vhqhb+z0WTlw6yWLMURK0Bo7+l/6PiK6NubV9LYlaa986nvISkMDtCJhk3Y61I0ngEAR4e8WRwpsski4SqLVy6SRrbby1dpKsGbujZ/SvH2HCvwQk6eEH/LXwNWr+9SFjome2oC+/e+v1McnqUbFOAscgYJJ1jHnSSgncjABJVX37Q3Ixu9HPJFnoRt8tymxyiC2jf/1IEoTNyHBNslUTURIsfmBPckWSlTeBaz6ib43FLPu1sWyXgARuT+A2ke72fjmiBCRwAoEkVPX3V0kwZtStJVkkIHkbRGLSvhGaGWOLDIkPY24pvX/92OrB7vxWrU2USCLX/ttXsQfZyjr19WySVWl4LYFjETDJOtZ8aa0Edk1gLcm6tfEkQLMJT2zrJVkkVPVrx+pnm4D1+kd3eyZZW0s0TbJaat5L4DgETLKOM1daKoHdE6jJx16M5Y0ZydZs6SVJvA1bSrJan3v9l8aesc0ka4me9RLYPwGTrP3PkRZK4DAE2oRjD4bzFejsb6Swt5ck8SarvnGqfvImq37l1+vf44DczFeZJlk9etZJ4BgETLKOMU9aKYFDEKjJx54MJgka/Qu+amsvSWr9IuFK4tbK8zsr3lCtFRIs+q4Vk6w1QrZLYL8ETLL2OzdaJoHDEWiTkb04wNeFJDUz/2mF3r9+zI/bOaODJKomSPzuizdalPb3Wz0GyMJqpphkzVBSRgL7JGCStc950SoJHJIAiQNJAcdsEnErR0mQ8vZpaUwSsaV//UhiRBtH/eoQXSRcJF74TZI1SuZI4pKQLdlBPbaEZU3oRn1sk4AE9kXAJGtf86E1EpCABCQgAQncCQGTrDuZSN2QgAQkIAEJSGBfBEyy9jUfWiMBCUhAAhKQwJ0QMMm6k4nUDQlIQAISkIAE9kXAJGtf86E1EpCABCQgAQncCQGTrDuZSN2QgAQkIAEJSGBfBEyy9jUfWiMBCUhAAhKQwJ0QMMm6k4nUDQlIQAISkIAE9kXAJGtf86E1EpCABCQgAQncCQGTrDuZSN2QgAQkIAEJSGBfBEyy9jUfWiMBCUhAAhKQwJ0QMMm6k4nUDQlIQAISkIAE9kXAJGtf86E1EpCABCQgAQncCQGTrDuZSN2QgAQkIAEJSGBfBEyy9jUfWiMBCUhAAhKQwJ0QMMm6k4nUDQlIQAISkIAE9kXAJGtf86E1EpCABCQgAQncCQGTrDuZSN2QgAQkIAEJSGBfBEyy9jUfWiMBCUhAAhKQwJ0QMMm6k4nUDQlIQAISkIAE9kXAJGtf86E1EpCABCQgAQncCQGTrDuZSN2QgAQkIAEJSGBfBEyy9jUfWiMBCUhAAhKQwJ0QMMm6k4nUDQlIQAISkIAE9kXAJGtf86E1EpCABCQgAQncCQGTrDuZSN2QgAQkIAEJSGBfBEyy9jUfWiMBCUhAAhKQwJ0QMMm6k4nUDQlIQAISkIAE9kXAJGtf86E1EpCABCQgAQncCQGTrDuZSN2QgAQkIAEJSGBfBEyy9jUfWiMBCUhAAhKQwJ0QOFSS9eHDh6c3b968HKfOwZcvX54+ffrU7U497VvKu3fvzrZpy3iRPcXW9L31+du3b0/MXwrMfvz48XzbtkUmZ+Yj847P9D2n1LHP0bPUd82fpX6pv8W8MhfYubdyC9/j869fv17WVV2bqY/c3s71edjbHF772drbXGiPBNYIHCrJwhkCTA2Iaw6mneBNISixYec+7aee66ZAgLlV0Eug5Xy0wvwxByRZHFwvzSntSapOnXvmJAldHfsa3Nb8WRtzdl4ZZ+tay5rnDPOt/ddsP7d91vdzx0n/JARJqjhTYMOxx3KJ5+GSfjFn4XZJveqSwL0Q2GckGdA9ZaNNEI1adGTDSd2pZzbt19qsaoJ3qv2v1S8bHOPDbynJGrXN2l7Hok97P6tnVu5cm2fmdeu6q5szfmztP+v7uXIzvp87RvqTSPUShDZeRH4P53PX1qV9WGJ46XHUJ4GjEjh8kpXNgjMPPAlULQmYtHEQpJJkEdCpo29K9HGPbPog2xY26+jlTEF36qpe+tfxEiwzBroo6cumyMF99GQ86inoi7+tn73N47nTP3+qLLrQzzixIXYiF/toz1jRwzn2Ipd+1FHCgjG4pj2FseJHWKQt5/SvY1TZ+JFxqy9cIxtm6Mj4Gbv1G3nken5WW9Ke8WMf95RqI/dt34wTe9r+1GcM/Eg7Z0rs5j5rIwyoC9dn4X/+tDq4p1/lk/Fa/fEpujjHv/iRdRPW9InP8TE+xU7O1a7oj1x0cZ8SnfjI2BTqojN2RJ5zbKRP2tt5C8P0S3u1LxzShj4O7lMX/Zmf2Eh9bMTe+IH+6l/G5xwdjIE8Jf0ydvQ/N/73h7Ha9thXWVCXEvnYTz11sZl+tW/k0o9zbOQ6uis/6lPQlfVHffTRzjUHMvRvS9rox4FcSmUWG6iLH5V1tS060B07w4x7dKREpo4df9IWWc8SgMD/V/5BePAwZ9Hn4WHB89Bksbeu5IFJfYIV8rUt+vLQ1XFyHR05Ux95bKgPMm3cZzweQkp9wCOPDxwU6lLf+hRfI5fglnHaeu57Bb9jD+30r37Qjp1Vpo5ddcZu6rAnNkUHepGJT8ihF/2U1sfnyv/+1LZwy1ygk6PanbFrfR0LtfW++k1b+nOd0rOBtiXmVb5ex376Mk54ZA1yplS9dX0tXVdddYxnZf/9ob7OJbpgxJjVxjo29bUPqqKfvrE/emiv17RHH/Uc6IyOzCNjUE9BPjrCBflqY+rxO3qfOzd/kMsY0V3vM07T7SUmRJZz7Ks8qEMHpeUbn+iLTFghW/XWetoo+JXxuKd/7jmnP221oAs7KGEU1tUG5KIDO9OHeg7qkMeOlCpXr5FjLEr61fv0R1f60afaEx34xlFtT3/OYYkeCrL0pWB37KUeGepoj6/PguUP40QX1enPdWzimv60oTe6cl35xm/6WCQQAodOsnCCRc+Cp+Ther4pf/LQpooHhgeQkrY8IFVfHtK0pX89t/KxJbrzENcgQFse0ujioU6wq/aN5Fqd6GI8dNWAkTHaM7IZEz84KOnLGV31qP5FX8sgPkdPdIY593Xs1sfo5dy21fvMXZXH1viR+joWdfUeHbEX3b25xm7algr9K/Nq41Jf2IRH/MjY1Fd2jJs5iB2VOddpzzm6YjPzHD+pq/3Rmbb4Ej2c21L9ow2ZrCOuMzZ+xMfqE7JVb7WlyqE795zpUw/0VI7I10Jbj2Nkqq2p45z5SB32oYfxuK6Fe+o5wpB2rjNXXNOeQp/qf+pzRj4MqUMP/ue6teG54Z8/rc743/qT+5wr0+jusany8aeVy321OfbFr6X1E/3xNf3quWWZe87VD64p+JN5qHpyzVhpz1rBt1ZXtYlr2sOq9Se6PUsAAn9H0J1z4UHI4sbU+hCx2HnY2pKHN/XoyEOTNs6Uqi/y6OzpbeXRmQeVNnSmX9vWPpg8tAlc1b6RXNVJH3QwZq2PD70zfTgYN4GF/tRROKNrrWAjcvTNHKAvenq64BJ/Wx/reG1bvWc8fG5LfMn4dSxk23vmvLW36lziif4e82rjqG/Yxg/OlNqH6/hY1+bSdbW7XuNf1iL1tT/2pq1lU3XkuvpHHfZlLsODemyPj9WnzA8ylGpLlaONe8Zr62mjjNZory0s6Vtt5T4l85F77ENXy5B22qhv2+CI3ZQlpoxP/7a08vEfuZZ97dv6g80crT+5z7nqyHWrCzuxi1Lta+Vy37OTfozZttEHfim0U8e5LXVs2nKfcyuP3T09kWPcOofUt3NZZWNX9aFeR9azBELg7x0qLTs9EzRqYKoPEYudh60tbTBBB0GbkjbOlKqv6uI6Ms+C//2p8ozPQ5jCPWNR2k2ifTBroKn2VZ94+JHLGFVnDTK1Prb0zgkmrY2MScl4nHOftueK//6EYfRwzhE57sOcumpvyyJ9OLdt9T7jRh47MwbXWSd1LGTbe2Spi/3RlzNjhjl13DN21VOZVxuX+jJW7IsM+ihVF+Nm3dW1Vq/RVe3jPn2eFf7zJz7mvvZn/Dp2rpENz/TjXP3jnrHR316jhzbkq0/IVnurLVWuzm8YxS/u0YOvPRuxJeOkD/dVFhvS9mz8f3/quFRhH+NQ4s/zzT9/wipjUZ/+0Y8M7Snpw33lkHZsZMwU7tO/ZR8ZzvSp/nGPLbEnOiozbKl9ch3b0Zv+XFOqP1WOttynT8bkPj61PtAHOerDmevYgt4Uxo4MfcIS2Vwjm76Mia5RQab2RRabMg736ONIXfWhXiNrkUAl8P+MoNbu9JqHgcWfg0WfaxZ/rvMwVzfSxsOU69qHuqqPB7jec92WqitjVp3pU+t4INEdG5CpeuqY9KNENv7Tv9VZ76MvdbGjtZ97ZDNO7Kpy2JvxkV0q2JZxEmA5U6oOxoof6K1t6Z8xYn/Gb2VTH7uwv+rmnpI6zrmmb+xDBh31nrpa6rygg1Ltoz86q1z8qXXpG0b0iU3UVZ34W/tmDPxKfXzPfWyotnNdx0MmRx0vtsUeZGivJWsk48Qm7hmj2oEe7usY9Zq+dazMV6sz49e+9KvrobUzfaoMfSgti/AiXfsAACAASURBVLZv2GBH9Qddbd+Mwzl2c+ZAvvpHX0qta8d+Fmhk0EOp/of3c0P5ExtoD8/YnHGRqSX+pk/VEbn0RSbt6M01nHKNDKWuFdraurYP/tVxwuu5439/0LMkU+vRVecuLKquXMMX2VrCLGy4b/2pLLiOjsiNxqxjeX3fBA6VZN33VFzPu6VAfr0Rj6c5AfJ4lmuxBMYEkjCMpY7RSpJ16eSFJOvSOo9BUytvQcAk6xaUX3EMPmEZQMYTAJ+8LRhL2iqB4xEwyRrPmR+wxnxsPY+ASdZ5/Ox9YAL5+oWvGSwSuFcC+corX9kd1c/6dSCJ47klXPwQei5J+48ImGSN6NgmAQlIQAISkIAETiRgknUiOLtJQAISkIAEJCCBEQGTrBEd2yQgAQlIQAISkMCJBEyyTgRnNwlIQAISkIAEJDAiYJI1omObBCQgAQlIQAISOJGASdaJ4OwmAQlIQAISkIAERgRMskZ0bJOABCQgAQlIQAInEjDJOhGc3SQgAQlIQAISkMCIgEnWiI5tEpCABCQgAQlI4EQCJlkngrObBCQgAQlIQAISGBEwyRrRsU0CEpCABCQgAQmcSMAk60RwdpOABCQgAQlIQAIjAiZZIzq2SUACEpCABCQggRMJmGSdCM5uEpCABCQgAQlIYETAJGtExzYJSEACEpCABCRwIgGTrBPB2U0CEpCABCQgAQmMCJhkjejYJgEJSEACEpCABE4kYJJ1Iji7SUACEpCABCQggREBk6wRHdskIAEJSEACEpDAiQRMsk4EZzcJSEACEpCABCQwImCSNaJjmwQkIAEJSEACEjiRgEnWieDsJgEJSEACEpCABEYETLJGdGyTgAQkIAEJSEACJxIwyToRnN0kIAEJSEACEpDAiIBJ1oiObRKQgAQkIAEJSOBEAiZZJ4KzmwQkIAEJSEACEhgRMMka0bFNAhKQgAQkIAEJnEjAJOtEcHaTgAQkIAEJSEACIwImWSM6tklAAhKQgAQkIIETCZhknQjObhKQgAQkIAEJSGBE4JBJ1o8fP57evHnzcvz69evp06dPIz+fvn379vThw4ehzKiRvujYUk7ps6T/y5cvL+Pja2Xw7t27P7oxbvjQj2vOcMr1Hx28kYAEJCABCUjg4gQOl2QlaSBhSCHJaBONtHFOQnJqkkVSQ3KylmQxzppMtWv2Gl/xm8J1HYNrbGuTzCRVGSP9ua/XafcsAQlIQAISkMBlCRwuyVpKdtYSKJKRNZkRWvrW5KYnOyPT6zdTh9+xv15jUxKtal9NsuhHAkip1zPjKiMBCUhAAhKQwGkEDpVkJZkYuZq3ViQiHCn0TZJCHUlIZLiO7rwRSlvemNE3SUxvDNrTJ+Pwdi3JDXoZJ2/FMg621L7oGL2VQ74WbGKM2B97a5JV5es141Q7apvXEpCABCQgAQmcR+D/Wch5em7SO4nRaLCaDNVrkpAkP/U6CRM6kwRxTbJCwpOkpeqavaY/+mM390mKkkhVWzIm48+W6EOehCl6Z5Ks2TGUk4AEJCABCUhgO4FDJVkkFCQqMwW5JDXI12SGZIT7tswmWenXjlGTL2RIeNo3WdTXxI7rJEZJspLYIbtWapKFLLrwzyRrjZztEpCABCQggesSmMtYrmvDtPYkIb0EicSCds5JxGrS0yZZJCFtmU2ylsao46F7JslCLvpqUkj9TGmTrDBi7C3J2sxYykhAAhKQgAQkME/gUEkWbpEIkYzkDVHqkjTRluSiJj01yeI6iRj9uacPOuiTOmTylqnqWhqjyqBjJsnCj9j+PPDGP22SRff4Fw4bVSouAQlIQAISkMAFCBwuycLnJBEkOxw1SalvhUhy0h5Z2ilVLokVSUnkqOOauipLUlTvM0atpy790VHlsTVjJAnLfc7Iz5RWb+1D21qSxfizY1XdXktAAhKQgAQksE7gkEnWulvHkSA546ilJo213msJSEACEpCABI5DwCTrlecqb7OqGb5dqjS8loAEJCABCRyTgEnWK88bb7HyNWHOr2ySw0tAAhKQgAQkcAECJlkXgKgKCUhAAhKQgAQk0BIwyWqJeC8BCUhAAhKQgAQuQMAk6wIQVSEBCUhAAhKQgARaAiZZLRHvJSABCUhAAhKQwAUImGRdAKIqJCABCUhAAhKQQEvAJKsl4r0EJCABCUhAAhK4AAGTrAtAVIUEJCABCUhAAhJoCZhktUS8l4AEJCABCUhAAhcgYJJ1AYiqkIAEJCABCUhAAi0Bk6yWiPcSkIAEJCABCUjgAgRMsi4AURUSkIAEJCABCUigJWCS1RLxXgISkIAEJCABCVyAgEnWBSCqQgISkIAEJCABCbQETLJaIt5LQAISkIAEJCCBCxAwyboARFVIQAISkIAEJCCBloBJVkvEewlIQAISkIAEJHABAiZZF4CoCglIQAISkIAEJNASMMlqiXgvAQlIQAISkIAELkDAJOsCEFUhAQlIQAISkIAEWgImWS0R7yUgAQlIQAISkMAFCJhkXQCiKiQgAQlIQAISkEBLwCSrJeK9BCQgAQlIQAISuAABk6wLQFSFBCQgAQlIQAISaAmYZLVEvJeABCQgAQlIQAIXIGCSdQGIqpCABCQgAQlIQAItAZOsloj3EpCABCQgAQlI4AIETLIuAFEVEpCABCQgAQlIoCVgktUS8V4CEpCABCQgAQlcgIBJ1gUgqkICEpCABCQgAQm0BEyyWiLeS0ACEpCABCQggQsQMMm6AMR7UPHly5enN2/ePH38+PHFndR9+vTppe4WFx8+fHi25evXry/Dpe7bt28vdZe4iI/fv3+/hLrNOhj/7du3z/7++PFjuj9z9f79+2l5BPHx3bt3z2Mx7muVz58/v/jMvP78+bNrSuYGX1O45nhN+2PLKefqU+a71uEbc/Ra6/EUn9b65Nn9/fv3muiu25kv5of1W0vqacNXiwQqgf9Hr1rr9UMSaIMhQZEE4NbBkaCFLTWJYNO5VgAjON7aRxYYCSMbKmOTyP769Wt63bExt8E+nUlamLda0I2ftDFuklXqr8W1jp9r7GZe8ZmDpH40PjbHVnTQP8yi80hn7OdoC34m6eLDRb1vZY92j1/1WW7tZ60uJdqt7Gvfs1aXEmDmdbSWX9t2x38dAiZZr8N9d6Oy2RIk2PSyqRH46putWxnN+ARmgm8SDzae+mbrUraw0bNpv0YhIJ/qEwnWUrDv+ZK5bdtI7paStVa2dw8//OBcC3OYdVTrka1JBvO8xD+JYe2PrefYW3Vd4hpfWj+TPPb0I1/9RwZ5kqpa4LQnP6ttW69Zp/fiSz4g9Bgwr8ybRQKVwJ9Pdm3x+qEIsFEQDNn08/UgdTNJAMGFTWLpyCf0WaCMn40qGxh1+bTLmQSsBm6CH+PQj2uSQ+TYwJOsIY+NtR8+ozs+xHdsRRf39OdIUpM62gmq6EwyWH3EdsanHTnkU9AXXktJBrKxGdn6NoBr7Kn+IR8/wo06WGQszrE1tqctfTjHPvSHO7p6BXnsiX/cV461D+spsshjGzb3CnraTSt+Rz468AGb6UPZukYyB+irXOpayZj1jDw2Zdz0X2KGr62/zGPrJzL1A07WMn5iU/gyLnXRyTNQ72kfzWU4MS+RzfyEQ9Z9uMKqtYM2fMcu2jjCBHvR3+qLrfFlyZbKGz8zfnxOe5Ly6KMe2cQfbMK3FOwKm8xz5rPGj7o20h9b0VfjI/a085ixPD8uAZOsx537PzwnMBFgCFQEHgp1BJNbl2wuBOlcJ7hhC8GMI8EUuwl4FIIemwLyyLRBs93QCK6MQSBOkH5W9M8fdIQLcuijfwIsddGfPjkjB8fwQ1cNyMhhM/2XCn0J8MhwJIBzje7qXzYSdDFWEqnopi82tQXZ2pf2ajdsWl2tDu6Zq/jIeeQXTPGdYyRb5SLfMqN/1kGYYw9sONKGPfSl1DWSOQxb2rLm4J/+zx0X/qC7+p7koiceu2pbrw57qKfkmcz6wWYOCjKMF/upw5bM2dpcZmx8Rn84hQvnGTsyLrzQQb+sq8wRNlV99OE+vJZsQY6CbHxjrqvP/0r8K5P6PKexI6yqLmyNz8iP1gZjxi/OYZyx0Z+xU+dZAiZZroFnAjU4EMgIKJxvXQhc2dgS/Kir9mETMgnObcDlPp8+keU6sgRRAmQKPiYIZzzaqg6CL3LREbk2yEYn5yrPPfZns+KeMWf4IkM/xkyJbalLIpb26nvq2uSEevqzCbcFPrPJVe3LnDDOiAsM0c3YHFxz9EqdN9ozD5ENh9zDNIkUdVvWSHRgeztu2kZn+jF21u6SLHNZ1wFyrA18Scm8pI75qHq5Tht9MjbX9K3re2Yuq/7o4kxhbjJWlaOt2oFMb91hD1yYu7YP9/iesbiPvVxTn2ckeqjjYOzKBHkKdiRW0F7ZRr7q+rfXvx94EgeWfME2fOEIk/TnzLxm7Frv9WMTMMl67Pl/9j5BKyhIRBKgUjc6E1wSfHrnBK+RjrSxCSeZoY4gjy3txkRAJ1hGprYTDHOPTE0k0Bd7aKsbA+MmqFefqKs21UD+bEDnDxzgSokN2WioQ3+CPvdLhb74gw1cU6p/jBGbacO2Vi/+Vj+RoyC7lOCwBuhTbf63V/8vfNhg6FdtbaWRydzQhm2wagt+UR+facdvjpSWIffVn9k1En0543PWXepGZ2ysvte10vbDxuo/7a2ftNf5Qnc2dcZiPVcu6KAOZvTNuqOesjaXzFeeiXZN1GdnZEfPL8ZGH/1S6pzgQ/UTmWoLHDPfWSewog/jtQzoj1x0MIexCzviI+c6LvfVz/p8oTMlenm+YlfaODNW9bW2ef24BP6Obo/L4mE9JwjXoJENjqBx60JgzIbC2ARaAmsCJHWxjyBLO8GvBuQEQ2TbIJ8NDd9oQ5bCxkqgzdi0hwnj1c17KQg/K/rvD+OgExsJyhknMgRjbB4V+tCfo/pUr9GBfuYQO7E7ttOPwn2beKUeX5BDhoJd6KHQJ/XPFQt/YkOauY/tqcsZjowR2xijtzElMUg/ztlcU4dtmZdslJm/LWsk+tARTumftqUzfmB/klHu8X1pbrG5MmVM5CmZP9Zh9FGPfvTRDpesrfgaGe5pT6EffShLc4m96Eupaxvb0MEZ3SM72rmIj1UftjCH+IY/0Z/r1hbmljZ0VE7I4U98i+2cqcMfbEUudsUeZNCFHbQjD3/GSOEemVqqbdiEDH7UOWAMxrVIoBL4/9NVa71+GAIJSgQmAkkKQagNNGm71pnghR3ZdBgn9rVjYh+bETYS3LIx1WBInxrkuacf+pGjX/rSn/FTGBfZ2FNZ9IJw+uWMLnTSn82iskWG+rqRpl/OyDMOchzZ/ONf9BHkaY/tbLKtLwT+uvlmjPTFz9jCOBmTfnAYFeyoG1RksQe2bUEeHhmD64wd2fiITHRwTp8qh43U40MYpJ06WKytkcgjlzmnX49ZZHNGpmc/dmWOIssZP+IT95UFfvR44Bdt0YltWQ/ooKAz6/rfmn8TqzBbmsskT+lT1zZ+1bFGdtTnBdviO/qSiCBT9aEf+7J+WluoRz5861yP5gadGZM5bbngK7qRQ3/Gpz5rj+ta0IceCjLVj8gxB9hokUAlYJJVaXgtgRsQIPATpG9V2EyyUd1qTMfpE2iTrL7U9loSG+d4O7dL9jDJuiTN+9FlknU/c6knByHA24r2TcS1TOcTP29nLPsgcI0kizlu3+Ltw9vHssIk67Hme9Zbk6xZUspJ4AIE+DqBI1+nXEDlogqCPgmWbzgWEd28gTnhzSIHbzTPKXyFxRtRE6xzKJ7fl3nMnPp14fk8702DSda9zaj+SEACEpCABCSwCwImWbuYBo2QgAQkIAEJSODeCJhk3duM6o8EJCABCUhAArsgYJK1i2nQCAlIQAISkIAE7o2ASda9zaj+SEACEpCABCSwCwImWbuYBo2QgAQkIAEJSODeCJhk3duM6o8EJCABCUhAArsgYJK1i2nQCAlIQAISkIAE7o2ASda9zaj+SEACEpCABCSwCwImWbuYBo2QgAQkIAEJSODeCJhk3duM6o8EJCABCUhAArsgYJK1i2nQCAlIQAISkIAE7o2ASda9zaj+SEACEpCABCSwCwImWbuYBo2QgAQkIAEJSODeCJhk3duM6o8EJCABCUhAArsgYJK1i2nQCAlIQAISkIAE7o2ASda9zaj+SEACEpCABCSwCwImWbuYBo2QgAQkIAEJSODeCJhk3duM6o8EJCABCUhAArsgYJK1i2nQCAlIQAISkIAE7o2ASda9zaj+SEACEpCABCSwCwImWbuYBo2QgAQkIAEJSODeCJhk3duM6o8EJCABCUhAArsgYJK1i2nQCAlIQAISkIAE7o2ASda9zaj+SEACEpCABCSwCwImWbuYBo2QgAQkIAEJSODeCJhk3duM6o8EJCABCUhAArsgYJK1i2nQCAlIQAISkIAE7o2ASda9zaj+SEACEpCABCSwCwImWbuYBo2QgAQkIAEJSODeCJhk3duM6o8EJCCBAYGvX78+/fjxYyBhkwQkcCkCJlmXIqmehyHw4cOHpzdv3jyxWaWk7tu3b6m6+vn3799Pnz59erbl7du3T58/f940Jhstfmzt9+XLlyfGo+9rbdb4/vHjx2cbsAMO1PVK5oYzJX6/pv09O7fUxSd8oPz69WtxLTBfyNWjsmLNZj6zFiqjcNtin7ISkMC/BEyyXAkS2EiADYiN5/379y89v3///lz3UnGDC2xIosf4bKI/f/7cNDI66Nsr6CaRqYUN+d27d88JDYkNmzuFejbzWxXsZnwKNmDT0vhJGGIrfejf+kb9UQr241cK90trAS5LbGCSdcM1yVb9oEA/dFskIIHTCJhkncbNXg9MgE2IDY4NKRs3G1w2uddAw5sJNsvYM2sDiWJ9q7HWr27mkaU/epaStciNzvBM0lTlaiJX6/G1JhkkA73+9GG+2kThXHurLZe4JuFrE2Tu82apHQN/qv9te+UzSrJYs5UN49Xk0ySrJeu9BLYRMMnaxktpCTxv5iQWbEb51M8G326SPVRsWmyAS8do4+zpo45xGT+2tHLYykaaMbNxU88bIPqRMNY3c5GvSVu+UkIP/VKiN+f0YZzUVd3p157xoSZKI59gH1nGw54ldsjBPQW/sYtzCgyxkXp0ZS5hQ10SyPSlHzIwIVEJw9iU+1ZfxmvP6Krjcs8cVBtrH9qW/IUHdqUv9qEbW6jHthQ4VjZtUtXep59nCUhgjoBJ1hwnpSTwQiCf9Nmscj2TRLwouOAFm2A28iQCrXo22djJ5p1EAHnspr0mD/Tnno25LYyVzTttbV/qkzTQxkFSMFOwrR5LfdCZpAib4lNPPgkGcjnqfCUpSfKRtznUU4ftaYNZfIF9khDaaeOeQjIDAwrs0bVWwgxdNeHq9RslWdXeti+JGQxiG7KxGdn4k37tfeo9S0ACcwRMsuY4KSWBZwJsltnQk1xQl433tTCxMdfNs9qBfWzaSRTSlmSCe2Rq4sFmHD8jT12VST3JRZK41HFGlk0aTlsKtnKMCrYlOYh/JIttoQ0unFOQy9s86riuvraJBbakP7IZt9c3Y4Rt+qV+7Zx5bOeq7beUZOHHTN/4wLxVFq3v7X1rh/cSkMCYgEnWmI+tEviDABtY3cTYpOqG/4dw54ZNK29Teuelr4A6qv6qat9KVAHeXMTW1JMEZTx8qpst19VP+mB7TUaiB9legkNyRRvjzCZa6KcP595YGRN2sT229RJdfGgTQ+5JDFPoV33lPv6QJKU/PpBw1XFpq/fRyRkdyOetUW3rXSOHPmxZ64eN7bhL89CORV/mktImUWGfPm176j1LQAJzBEyy5jgpJYFnAiQqdYNmQ2w3/FuhYrOMLWy42NFu6NQnWSFhQIZCwpBr7pHBFzZZSnTnPnU1GXkWLLKMnXaSBcbgGCUi0cE5NqSO+9ieupz5Oi62ZYwkDpHh3CaWYVATFHxNUsUZ3XkDhT/xJW34yVgtw4yLvvTH/p5dkc0ZnfRDJ4X7UaKFbPWBa3xNYV1kXGTbdRL7GCfrhrHbJBId9LdIQAKnETDJOo2bvR6QABsuGxKbbko27dzf8szGiS3YxOaYBKfawOZLGzIkD0km0jeyJCzt74jaTT6bcfrkTF/akiQk6aGOYylRSn/O2Nmzn741mUgfkoP4jt3IJUGJDD7GhujAxtgauSQ01KOT+xSu0U89c01/rhkL/b0EBFsyLu1JaKKzd4Zhaz9j18Sp9kNvfKI+c5xxOWMfhUQJH6hDLvXPjf/8SfKITBLXtJlkhYRnCZxGwCTrNG72ksBDEWBDZxO27INAm2RdyyqTrGuRVe+jEDDJepSZ1k8JnEGg/drtDFV2vQABk6wLQFSFBG5AwCTrBpAdQgJHJsCGztF+nXVkn45uO/ORrwav4QtvLqOfsSwSkMBpBEyyTuNmLwlIQAISkIAEJDAkYJI1xGOjBCQgAQlIQAISOI2ASdZp3OwlAQlIQAISkIAEhgRMsoZ4bJSABCQgAQlIQAKnETDJOo2bvSQgAQlIQAISkMCQgEnWEI+NEpCABCQgAQlI4DQCJlmncbOXBCQgAQlIQAISGBIwyRrisVECEpCABCQgAQmcRsAk6zRu9pKABCQgAQlIQAJDAiZZQzw2SkACEpCABCQggdMImGSdxs1eEpCABCQgAQlIYEjAJGuIx0YJSEACEpCABCRwGgGTrNO42UsCEpCABCQgAQkMCZhkDfHYKAEJSEACEpCABE4jYJJ1Gjd7SUACEpCABCQggSEBk6whHhslIAEJSEACEpDAaQRMsk7jZi8JSEACEpCABCQwJGCSNcRjowQkIAEJSEACEjiNgEnWadzsJQEJSEACEpCABIYETLKGeGyUgAQkIAEJSEACpxEwyTqNm70kIAEJSEACEpDAkIBJ1hCPjRKQgAQkIAEJSOA0AiZZp3GzlwQkIAEJSEACEhgSMMka4rFRAhKQgAQkIAEJnEbAJOs0bvaSgAQkIAEJSEACQwImWUM8NkpAAhKQgAQkIIHTCJhkncbNXhKQgAQkIAEJSGBIwCRriMdGCUhAAhKQgAQkcBoBk6zTuNlLAhKQgAQkIAEJDAmYZA3x2CgBCUhAAhKQgAROI2CSdRo3e0lAAhKQgAQkIIEhAZOsIR4bJSCBlsCXL1+e3rx58/Tx48eXptR9+vTppe5WF79+/Xpi3Ldv3z79/PnzZdhv374912Hr58+fX+q5QO7du3fPfnz48OHp9+/fL+2jthchLyQgAQlMEDDJmoCkiAQk8CcBEhOSlyQnnElycv+n9PXukhCRUNWxSbywj3ausQ2ZFBKsr1+/PvfBl5ocjtrS37MEJCCBGQImWTOUlJGABF4IkLTw5oo3WUlcSGbqm60X4StfkBAxdltIoEieUniTFfuQJwFL+f79+3MSxv2oLfKeJSABCcwS+H+kme2hnAQk8NAESKxITEhk8gaIOu7XSr5WJMnpHT9+/FhT8dLOmCRSJE/oqgkXdYyVwnWSrjYBY8wkXaO26PIsAQlIYJaASdYsKeUkIIFnAiRWfDWXr+GopK73RumayBiTZCpfE3JPokUhoVpKsmrChWxNskZtyFokIAEJbCFgkrWFlrISkMDLGyFQvH///vmtFudblzaRqskSyVf9sXtNnnhbVe2t/UZtt/bP8SQggeMTMMk6/hzqgQRuRoC3V7wxSiEp4T5fxaV+6Uyy0/uaMHUkPLOFcastNVmqSRX6SLgiW+Vo46vPvAEbtSFrkYAEJLCFgEnWFlrKSuDBCZBU1TdEJF0kSCQ1ty78Jqv+ZxtqspcfsHPm60SSqJrA0Q9fKO3vt0Ztt/bR8SQggWMTMMk69vxpvQRuRiAJFUlVfgfF4G0CczOD/hmIhI+kCJvq77OwgSSKNo6aGNJGwoXdvX6jNvpaJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALAGTrFlSyklAAhKQgAQkIIENBEyyNsBSVAISkIAEJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALAGTrFlSyklAAhKQgAQkIIENBEyyNsBSVAISkIAEJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALAGTrFlSyklAAhKQgAQkIIENBEyyNsBSVAISkIAEJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALAGTrFlSyklAAhKQgAQkIIENBEyyNsBSVAISkIAEJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALAGTrFlSyklAAhKQgAQkIIENBEyyNsBSVAISkIAEJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALAGTrFlSyklAAhKQgAQkIIENBEyyNsBSVAISkIAEJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALAGTrFlSyklAAhKQgAQkIIENBEyyNsBSVAISkIAEJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALAGTrFlSyklAAhKQgAQkIIENBEyyNsBSVAISkIAEJCABCcwSMMmaJaWcBCQgAQlIQAIS2EDAJGsDLEUlIAEJSEACEpDALIHDJFm/fv16evPmzfPx4cOHP/x79+7dS9uPHz/+aLvFDfZ8+fLlr6G+ffv2hG0pyFH3GgUu1ZZL23AJ/cwv83xqGa2RqvPTp09/zNe5445017ZTr7Purzl/Pdtec7327LFOAhKQwNEIHCbJCliSGTadNqlh43yNsmRPNvxbb4w9BnuypbUv8wanc5MddJDsxV/ObWnn6xLjtmNc8r4mOvC51YcI5oXxXutDwSUZIDC4wAAAIABJREFUqksCEpDAaxE4ZJJF4G83nGzWrwFy9k3Wa9iWMS/xpim6LnUm4anzdm6SNdufMWuSPtvvUn5v0ZPEcUufS8nWBO9SOtUjAQlI4JEIHDLJ4g1F3khksupmnTcZbJ7ZQEky6n3eYLCRUDjT3hb0pl8dI4keetokq8rTnlI3zGxgGbdu+rEtepCpJb7Tjq/xLfalH+e8+ahJVvRXjunLOOlfbY+d6Om93aAudoZ/zrFzyQfaM258qbbTFpsj+9zhvz91HNpjR2ymrvLF13pPOzoorS7uq03cx5Z2HPpTFz6MkbGqXchRT109qK+ltmUuaj+uU2hPG+P2xq6+cY0MY3CubdFZfcl6Rz62IIdMOKSfZwlIQAIS+JfA31nFzslkQ8DMGuDbDSduZHPgns2ybghcU0fJxvh889+fbDzc1mv6ZKNJPXZRqI9O9EeOazYo2rIZ5p6xYxd64ksd51l5+UOfjEl1xqz963Wri7GxncJ4GbPan3r6Ziz6taxopz4+cM1RfW/7MG61j/vah7EzJnrTn7qMQ59a6B+fkEsfZGjLfdWdtvSLzdQjTz8KPtZxuaaOUvVmnPTlHluyTpCnXx0HmYxPey11PtAZJsjQFh7oyBwujZ0xsT16KovMY8ZHLr5VO+p1ZD1LQAISkMDfBA6dZOFONrFsMO1miEzdEOuGxmaRftl0kG9L3bRoqxsT99m02s2TftnYkKubU93AqhzXtFHaTe+58r8/bMqRo4p+tdBWN97WtsoBfziSCNCWI2Nwn+s6Tq6r3dGTNvr1+FIX/sj2bEp97OFcmWaMyCVZQSbXtGFfxuJc7cm4l1g7+Jq5qP6FCedcx3bGZ+xeaddMlav2Vjn0LI1NW/W/XqMPW1KqL9TF7pG96etZAhKQgAT+2deOBoHNg2Cfko0hGy/3uY4MmwX1FDYVNkGO9KW+brrcp7Ch0CcbDPV1Y+I+SUQ7NmNUW+pGWDewVo42xl3bzJDDLvqncJ1+daNtbUMmHPGn9TH66jm8eqwYF3solRX31Pf6VPuQ69nU1nO/VGr/yhp57MNHSjt/6dcyQhbbqafQDz0cYUF99Q152lOfMcMkzOnDuBy1/3PH8qf6UXUjgg3UUaoc95VtO3b1v15Xn9BRx+OaMSjtWM+V/pGABCQggb8IHD7JwqNsWPGOjSsbHXXZHLimng0jG1uus5EikxJZ7rNRcd0bL2PmjBwbGPfZaOvmVDcwxomNXHPMFOTQXeWr3rrR4l/GQDd2xWfqYzfXsRc5rpFLHdeM0RZsSH1lhRz14V37Vfuox4YkIYyXMekf3cilnuta2v5tn/hL/2pP7RcO0VuZxcf0jV/RSx/qMh/VvzDhzLHkQ8bNmfGjH33VHu4zVpWj79LYtFX/uY4t9MH/cIsvsZ2+lHasf2v9KwEJSEACLYFDJVkEfTaBdiPEqWwMXGdTiCx1tdT+bFJ146pyXEcHMlxHttrCNRsUBX3pQ/2SfGSysXGPfO1fZZ6Vd/4gk422HT82s4lGF2NQ2rpstLRFljMbPAf9Up9NH1kK92mrehm/3lc76dfzFT2VSbjGF9pbPe18p0+1OX2qbuqqXmxqdVFXSx0//dNefa3XdUz6t2NQl3mJLs7U50AfpdVLXfUT3diVfu3YtT9yde6ipx2nnf8wYyz69GxHh0UCEpDAoxM4VJL1CJPFxsfmVUuShlrn9XEJJBGqHjjHlYbXEpCABO6DgEnWzuaRNxA1yeLaDXhnk3SmObz5IZmuJW+qap3XEpCABCRwbAImWTubv/pVDwkXX81Y7osAiXO+zsu5Jtb35a3eSEACEnhcAiZZjzv3ei4BCUhAAhKQwBUJmGRdEa6qJSABCUhAAhJ4XAImWY8793ouAQlIQAISkMAVCZhkXRGuqiUgAQlIQAISeFwCJlmPO/d6LgEJSEACEpDAFQmYZF0RrqolIAEJSEACEnhcAiZZjzv3ei4BCUhAAhKQwBUJmGRdEa6qJSABCUhAAhJ4XAImWY8793ouAQlIQAISkMAVCZhkXRGuqiUgAQlIQAISeFwCJlmPO/d6LgEJSEACEpDAFQmYZF0RrqolIAEJSEACEnhcAiZZjzv3ei4BCUhAAhKQwBUJmGRdEa6qJSABCUhAAhJ4XAImWY8793ouAQlIQAISkMAVCZhkXRGuqiUgAQlIQAISeFwCJlmPO/d6LgEJSEACEpDAFQmYZF0RrqolIAEJSEACEnhcAiZZjzv3ei4BCUhAAhKQwBUJmGRdEa6qJSABCUhAAhJ4XAImWY8793ouAQlIQAISkMAVCZhkXRGuqiUgAQlIQAISeFwCJlmPO/d6LgEJSEACEpDAFQmYZF0RrqolIAEJSEACEnhcAiZZjzv3ei4BCUhAAhKQwBUJmGRdEa6qJSABCUhAAhJ4XAImWY8793ouAQlIQAISkMAVCZhkXRGuqiUgAQlIQAISeFwCJlmPO/d6LgEJSEACEpDAFQmYZF0RrqolIAEJSEACEnhcAiZZO5n7379/P33+/Pnpw4cPO7Hoemb8+PHj6c2bNy/H27dvn758+XK9AdV8aAKul0NP3yGMJ/7UmPTu3bun79+/H8L21zCSferTp09P7FuWMQGTrDGfm7Xe86L9+fPnXxzxN4kVm+hsooUuH+y/cB6+ordGqlOul0rD61MIrK0xkixiEeXr16/PSVfuR+M9YkwiBpNkvX//foTGtn8ImGTtYBkkyeglD/UTVpKSHZg8bQIP4rdv3/6S5+GsAQzfZh5YAtolP0GxeecTbLXnL4N3WHH0tRGkS2sk7ZxdL5XG61wfeb2trTFiL3GgFmID3y6slUvEpKPGId749eL7GrNHav9zVT2S5zvylQeZINArBDYewCMWbOdoSy+gJdFsZXv3BLVLM6mfYntj7rHuyGsjPJfWSNo5u14qjde7Pup6m1ljfDXYxhT6ffz4cQr4pWLS0eLQaO+aAvcAQiZZO5hkHm4e6F45amD79evXE59yeoWEqhfQ2rpe39TNBM7IzpyPFtzw6ahrI/MxWiOR4ex6qTRe7/qI6212jfXiySgu92ahp6MnN6o7Whw64poY8b9Gm0nWNahu1Dl6mI+6iHkzx+8aegWf2tfwMGjren1Tx9sNfsfF+RLlaMENn4+6NjJfozUSmfjZrg3XSyV0m+sjrrfZNcZ6qj90T3ypdWuU0+ecmHS0OHTENbE2j5duN8m6NNET9PFKut1EouaIi3gt2LQBjTcVBBc+dW4pcLvU7wGOFtzgdMS1kfldWyOR4+x6qTRe7/po623LGuP5r8kRvi69iR/NwLkx6Whx6GhrYjR312ozyboW2Q16Rwt11JYheDDrwae3GjAid6szn/5GP2JPQMNGkiTeSJ2SLPGmbPY3E2u+Hy244c/a2iA5qeuCe347soeytkaqja6XSuP1rtfWW11rXO89DoUkH/ISr/igh5/EpFOelXNjEtyw5yhl9ILgKD5c206TrGsTntDPhsND3StrgY0+VYYgQcBgQ71U2aoLewiwvZJ/Gp2AjK1bXslXnQSjJW5VbuZ6D8HtFM6jPnlDiP8ktMwJvK6RgDPnWzaH0Rqp8+V6qTQud81cMQdbCvKj9VbbrxGH0H+NNUaikHjEmftTEixYYt85MWkPcWjLmvBfF67TMslaZ3R1CQISD1dv86uBa8kQvmpELoUHfUlfZLacR4G1pwf5ak9P5hJ18MLPS5Q9BLetnNfWBslrqxM/T01qR5yxZcsGeKs1Um2+t/VSfdt6zVxtfUbX1tu149AjrLE9xKEta+lo9m7x7VKyl9mhLmXNA+tZWqxrgQ1kvA1qNzj08WmMg09WvBHIV3PI9xK6JfztRr0kl3rkGe8WZYlbxsZP7EGOY+m3b2t6ou+a562c19ZGu+lhe52b+mYrjE752ha9p2yAt1oj2JeyNs9HWi/x6ZTzNZKsURyCK+15S8QbEOLSljdG97LG8Bn/WYswqM/c2vo8Za6v2Qd7LWMCEhrzuUkrAYjFyrktaxsp8u1CJ4Cmjv4cBLc8zDzgbVLWjlvvt27+yG/RX8faeo2fo7HYyPGdQnBb+hpzTc9Wu06R38p5bW305iF+8jYLHtyjh7XH+thqQ/xEx2geIpdzz7a0XfMc/5fGONJ6WfJhpp65Ys62lLX1BttaGCN1cGXNkWhlXJ7FXNd+S9fI3sMaIx7lAwbnxGX8XlufS2xeqx57+SbGskzgz6diWc6WKxIg2CQRaIdZC2wEHQJXLfSpddxzpNA2ClYJjjxAvaPqis567m2gPT2zdVV3e42OkS8EgJnfDazpace9xD0cRwxGfjE+/UdJEbpr4p55rXV8ks597+vFkZ8j20d2obO3RupYI91rbVVPe03fEdc9r5fWl633MB+xW9M3Wm8wrTEHXcjXOmTquui9aW1tGNlbdbX9uN/rGkuy2VuHa+uz5+dr1jGHSx9cX9OuPY1tkvXKs0EgIgnIRteaMwpsyNJevwJDT/sKmmCTTxuceZCXxmvH534tmLV9kCeQ3KLMBCXe2JDEjoLBjJ5r+7OV82ht9DY99FcGyNR7ruta2uIvtvQ2jSUdt1wj1YaZeT7Keql+bb1mrpizLWW03mira6cXh5Cpb22Ie1viBP3vZY0l0ao8mIuZ9bllzq4tyzyTSDM3lj4Bk6w+l5vWEpyWNlgW71IbRtbNKg9u3TiR4cHlYcgDUYMh7WtlNH6vL/KzD11sxsatQZex6ZcEsrWlJhFJLluZ3O8huG3lPFobtGWekzQQDFkDKVWGYE9yvsQyfZbO6Nq6AdJna3G9bCXWl790kjUTh6oMMaq+5epb+WftrdYY4xCLiAnYzPOzpYxiErqTWHFun/k9xKEtvmJ/u99s6f8IsiZZO5hlNr6lB5OHsn0QYzIPP/1yEBiQr4VgylucBI1svFVm7Xpp/KV+PHStHT3ZbOzZnPl9Ahv9bIn/S/Lojd/oze8gevJ7CG5bOS+tDdZT/MYvfGdOaoIFA8ZjPSCD/NbNpHLElsxjrV+6nl0jtb/rpdI475q5mnlG6yhL6y3P4SgOoYekijWHHOd2Pdaxete3WGOsS+zMhw1i59JPOXo2hkWvjbrEuDxz7TNDfVu3pGsP9dgbVnuwZ482mGTtZFaWHq6lwDZrNv05zilbN38CyVofAiybfz7Vxb4lDmmv57zVqHWnXm8Z99Qx1vqtMWv7n7s28PlSBVu2bA4za6Ta5nqpNM6/vmSSNWMN421d363ea68xbOSZqElD6lpblu7PjUl7iENLvvXqsXdrstzTc891l4uy90zpyr6NPv2cu5HyKYxAccuCP2tvpEiueHvSFh5a+s8U3sKc8maup/towQ0fzlkbMD530+txnK2bWSNVl+ul0nid63PWG0k1/W9Ztq4x3mJx1ELsXItlVf7cmHS0OHQ0e+tc3eraJOtWpAfjEICWfp9wTmBjSALEpRKRgQt/Na19/UTy19q19VPj2hh/GTWoOGKwOGdtsOYuyW+AdrFpy/iul0WMN2s4Z70xfyT1t37rsWWNESt5E1XLVp+3jFfHyfXR4hBzCiPLMgGTrGU2N2sh2SAI9crWh7yn4zXqePPQfiqsdpBUtgEN+SUOtS/XJGSXfBNztOAGg6OuDWynrK2Rf6X+/et6qTRe5/qI6212jZH8EQPaJJCkiQ8kM+USMelocWi0d80wewQZk6wdzPLo08ARA1uQ1h+Qpi5nPjUSlFL4HURbl7beGWa1f09mS93Rghu+HXltZG5GayQynNu14XqpdG5zfdT1NrPG+GqRGFALHwJZd23iVWXq9SVi0locImlEpmcTCSGFpLAng32jD77Vl9nro66JWf8uIffnqrqERnVsJnCvSVZ+99MLCLyxylsrNkwC4WwAIIjwcF+yrAW3S451KV33EOBGa6Rycr1UGq9zfdT1NrvGSKjy1ooPcNyT1MyUS8WkmThErFwrPRmSxvi31n+2/ahrYta/S8iZZF2C4pk6SC7a3ydFJYuYB4+D66MVAlwveSKxIrnEry2v5C8dKGJDDW4EogRYzgkkXGM3hcQxfZk77vGjyvaSy0vO39HXRlgsrZG0c97zemEd5AMDc8IGzcGaam2nnXKUNfZs7H9/jrzeZtYYc8YzzLyRpHA/Uy4RkxJLahxibOyOTYyTuIM88Sgxhn5ZW9RlPaKD+EQ78tWn1OMrfRKHidfoTx162/HQS6GtjvVvrX8rAZOsSuOVrvm0xAJ/xMJm0/vU9ZosCGYEFYINQYngRLCjjjOFwEIbsvW6yiYAvqYv9zb2HtcL64C1QWEtZLPLhwvaeMZZD2x2FNfYM4Zd/mEOlz703tLgJDnEHNYP66yNR4kxrDnaKJyzBjlnHdY4Sz3PEh9e2Hvow5rkOh8kUzeKacjPvu27Jbs9jWWS1ZkNFhfBkCOLOGIs1LoQU3/uGb08DO145+rde38eaDgTSPLQ78Fm5phC4EnAykbKHGV9EJCTeCGXgBPZPfhyTzbsdb0w39ncWAdcsy6wt25ubFgprrGQ2NeZZ5i54Tl/zWQLO9rxl2IMcSgl64971l72lCpDPTGMMzGOUnU/VzR1Naahk/2q6k8fz38SMMn6k8fLHQsqgTOVLHqCZLvw037OOYu2LuRz9B2pLw8rD/w1uJ7Cgc0xAQmb2DCZH+aGgMQ9wYVSE8MkXGysuT5lfPuMCextvWAtcYFNKnPPuqCwlrJWWEvYnnrX2DOK3f3hWWfOmNN8aHoNI1lPrBnsyXpKXMk6ywc8YhPXiVOckSGuco2eyOBL6ollSbKiu/qaut54rGV0W8YETLIW+LCAWJQsQgqLiQXHw5dFudDV6oMTIKAlqGWDJMjUoEs9gYpAmJI3EwQ72l4zQMcmz7chUDewvAXJyLSxHjhnU3KNhY7nJQKJOaynJFNLMYbYlAQ++1SSK9rYx2r8IuliTSKbNRnd1Z7UGdMqlW3XJlkdXixuFiFHNlHOJFcszCzKtisytC8dSdjaft5LQAISkIAEJHB/BEyyOnPKGwgSKpImDpIuPiWQJOXNRqebVRKQgAQkIAEJSOCFgEnWC4r/X5BQkViRbHGdexIuri9Zlt56Wb/8RlA2snENuAZcA/taA5fcF+9Jl0lWZzb57QQl32OTXFGoH/3OBrnRg+/Xhc8Y/SMBCUhAAhJ4CAImWc008wO/fCXI2yx++MdvsDhIoPzRewPMWwk8EAE+SBETiAX1h8QPhEBXJSCBDQRMshpYCaBtMlX/hVDTxVsJSOAgBPKvtE4xl38IwwewvJHmpwNtnJjRiw1L/3hmpr8yEpDAcQiYZB1nrrRUArsnUL8yz9fsezGapGj0df/IThIr3l6dk6RFPzqwZS3Rygc7xk1iFx2eJSCBYxAwyTrGPGmlBA5BgMQqv2nck8HYdU7SR1LEcalCojXLySTrUtTVI4HbEzDJuj1zR5TA3RLYY5KV31aeA53fX53y1eBozNnEzyRrRNE2CeybgEnWvudH6yRwKAJ7TLJ4A5X/gv8pMPOPXta+3tuqG30kb2t6TbK2klVeAvshYJK1n7nQEgkcnsDekqzZRGYEnq/2SHSuUfjfmqz9Tswk6xrk1SmB2xC4TuS4je2OIgEJ7IzA3pIsvuLLf5LlHFS8ccrbML5+ROfaG6iZ8dBJojUqJlkjOrZJYN8ETLL2PT9aJ4FXIZB/2ZbEAiNSN3rzspZkkZggQ9Jyi8JYl/jBOj7nP+9C0nMJnfjPvxpcY2GSdYuV4hgSuA4Bk6zrcFWrBA5NgM2fpKq+BeKt0Nq/iBslWXztxn9risSNxOEWBXuxaa+FpHONhUnWXmdPuySwTuA2kW7dDiUkIIEdEeDNTd6y8PUYheSovtnqmTtKsiKP3rXEIrLnnkmy1mw+d4xz+68lUWvt545vfwlI4HoETLKux1bNEjgsAb4O4y1L/WE2dbyNGpU9JlkkdXsua0nUWvuefdM2CTw6AZOsR18B+i+BDoH8GJs3WrmuXx12ujxXHS3JIoG51bHEbC2JWmtf0mu9BCTw+gRMsl5/DrRAArsiwNeD+WF3fjNE3drvsXDi0kkWY46SoDVw9L/0f0R0bcyt7WtJ1Fr71vGUl4AEbkfAJOt2rB1JAocgwNsrjhTeZJF0kUCtlUsnWWvjrbWTZM3YHT2jf/0IE/4lIEkPP+Cvha9R868PGRM9swV9+d1br49JVo+KdRI4BgGTrGPMk1ZK4GYESKrq2x+Si9mNfibJQjf6blFmk0NsGf3rR5IgbEaGa5KtmoiSYPEDe5Irkqy8CVzzEX1rLGbZr41luwQkcHsCt4l0t/fLESUggRMIJKGqv79KgjGjbi3JIgHJ2yASk/aN0MwYW2RIfBhzS+n968dWD3bnt2ptokQSufbfvoo9yFbWqa9nk6xKw2sJHIuASdax5ktrJbBrAmtJ1q2NJwGaTXhiWy/JIqGqXztWP9sErNc/utszydpaommS1VLzXgLHIWCSdZy50lIJ7J5ATT72YixvzEi2ZksvSeJt2FKS1frc67809oxtJllL9KyXwP4JmGTtf460UAKHIdAmHHswnK9AZ38jhb29JIk3WfWNU/WTN1n1K79e/x4H5Ga+yjTJ6tGzTgLHIGCSdYx50koJHIJATT72ZDBJ0Ohf8FVbe0lS6xcJVxK3Vp7fWfGGaq2QYNF3rZhkrRGyXQL7JWCStd+50TIJHI5Am4zsxQG+LiSpmflPK/T+9WN+3M4ZHSRRNUHid1+80aK0v9/qMUAWVjPFJGuGkjIS2CcBk6x9zotWSeCQBEgcSAo4ZpOIWzlKgpS3T0tjkogt/etHEiPaOOpXh+gi4SLxwm+SrFEyRxKXhGzJDuqxJSxrQjfqY5sEJLAvAiZZ+5oPrZGABCQgAQlI4E4ImGTdyUTqhgQkIAEJSEAC+yJgkrWv+dAaCUhAAhKQgATuhIBJ1p1MpG5IQAISkIAEJLAvAiZZ+5oPrZGABCQgAQlI4E4ImGTdyUTqhgQkIAEJSEAC+yJgkrWv+dAaCUhAAhKQgATuhIBJ1p1MpG5IQAISkIAEJLAvAiZZ+5oPrZGABCQgAQlI4E4ImGTdyUTqhgQkIAEJSEAC+yJgkrWv+dAaCUhAAhKQgATuhIBJ1p1MpG5IQAISkIAEJLAvAiZZ+5oPrZGABCQgAQlI4E4ImGTdyUTqhgQkIAEJSEAC+yJgkrWv+dAaCUhAAhKQgATuhIBJ1p1MpG5IQAISkIAEJLAvAiZZ+5oPrZGABCQgAQlI4E4ImGTdyUTqhgQkIAEJSEAC+yJgkrWv+dAaCUhAAhKQgATuhIBJ1p1MpG5IQAISkIAEJLAvAiZZ+5oPrZGABCQgAQlI4E4ImGTdyUTqhgQkIAEJSEAC+yJgkrWv+dAaCUhAAhKQgATuhIBJ1p1MpG5IQAISkIAEJLAvAiZZ+5oPrZGABCQgAQlI4E4ImGTdyUTqhgQkIAEJSEAC+yJgkrWv+dAaCUhAAhKQgATuhIBJ1p1MpG5IQAISkIAEJLAvAiZZ+5oPrZGABCQgAQlI4E4ImGTdyUSe4saHDx+e3rx583L8+vXrFDX2kYAEXonAu3fvXp7fL1++vJIVDisBCSwRMMlaInPn9SRUBGjKp0+f7tzb0937+PHj6Z0P1PNR/DzQlEyZ+u3bt6c8y0f9kOTam5pqhQ5KwCTroBNXzeYTLAkTb6ZmC304CNIcteTtVk/fz58/n96/f//86Zkxv3///tL19+/fzzbQnzZke4V62pFjDPqljHSM2tK/nrGNBDL6P3/+/Dzm27dv//I5/dq3e/hKaXVF/tJnbMXOdk4yXxlvxpcRryU/o5/zrM/MZRjTb8kH2vArcw/b3hr5+vXrX2t55At6KS2jf2v7f7fIomHGbnxhTdcyY3edix8/ftTuq9fIYxs69lRGMSRtObOWU2Z4ITuKIae2xYZ6rutk1jb6Z72087mkY/ZZq7Z5fQwCf0aEY9islYUADzFJQ/swF5HuJUGZT769t1jtRhEFBIiaoLAZck89BV35VErgZDPtFerpm4BTbRjpGLW14xDkqt4EPcYkoOFj75M/XJZYErxpj7/tmPUeHQToLSU8GKcW/MD+lFlfRrxGfmYczms+t5yXfEAXTEis4B65rBfaKYyHDPbVMvKlyrX21Lb2elZ2xm78wZf22Zm1G9vou7T2WttzHx+2rrX0nzmfspZbDnWcUdssr1EMObWt2sg1tsA3ZdY25BJj2vkc6Vh71mKH52MRMMk61nz9ZS3Btd2Q/hJqKtjkCERLgXkpCBIw6FdLTfDqNZsOetqEgfuqn2BEv5SRjlFb+nOOf7WODbD6y0ZOoteWteQDHVVP2z/3p2xMbVBHVzbR6OU868uI15qfdbyRz62eng9VV71Gb7t2uWdNtPUjX6pOrlub2vZ6v0U2/Xp286GCOa9rG/ktdtO33ZQz5tIZW3gmex8YlvpsrT9lLbcc6pijthleoxhyalu1j+veczdjW9XTm881HaNnrer2+jgETLKOM1ddS3tfrXQFS2Ue5PoprTT/tVGkjWBLclILmxT62uCGTC/ItPbWjWmkY9RW7eEae+pXENTV4MZ97Oa6FhIYNi1s58y4tbCZoWutnLoxkZzWgp0kHbXM+LLGa83POt6Sz71kFm6tD1VXvSYhY65SuMZX2OF3ypovkcuZdY1/M2WLbPS1dmNv1hv+p2y1u/e8RNfSGU6V1ZLcOfWnruWlMVm/ecawPetlltcohpza1tqKXfW5m7Wt6mnnc0bH0rNW9Xp9LAL/jwjHsltr/yPQbkgzYAhwbC707ZW6UdT2BIn04x5d2Rjbfm2QQRcbad0U0JV+9TrjRseoLbI5twGS+uipMnWDT309095LqKjD91HB3jX9tT/ybQJLO3ZnE4r8jC9beC35mfE493ymX/VxyYeqJ9eRjW/cJ1HhmjmEMfq5x+daWga1jX69easyud4rYM30AAAgAElEQVQiS5/Wbuyv6znzRSK21e6RT7G3PedZbusveY8fdZ5ndLfz1esDO5LhJMSzvLClMq/9Tm1r7cs8pr6Okbq1+WrbZ3X0nrWM6fl4BP6MXMez/+Et5pNbgtQMjLx9GAXNUYCkH+0EAjZFrtmoOLjOpokt3BNYasHemkzUwDPSMWqr+rkmALfjYm/9ZIrMiEF09nzo6c+4yC8d0dk7Y2/dOCKDrrbM+LKFF/p7ftZxez6zwbOeUpZ8SHvO2Ia+ula473Fjjrb6wjg9bhm/Pc/K9uzO89Dajj9b7UZHu25bW+s9Y7dzUNvPuV6aj/i5pnuWKf5GdpbXKIac2tb6E5tSP2tb5Dmjo87nrA7Y135Vp9fHI/B3BD+eDw9rMUGWDXfLA0mfHEvg2gCzJMe4BPmUGlTYQLmvmzBy9Kn6SXxmdczoZ4xekKIOv1NI9Ja+Lo0M5zpm6nv605YzftbxUr90Rh69bams0jbrS7V9aT6is8qmrp5bn5m3Nrlf8qHqYT3AviZYtZ3rnp5q35ov6Ohxo75XZmRn7EZ3q2uL3VW2Z2dbx9uy3ppp5c6937qWGa/lsGQDuqtsZbA0z22fGkNObWvtqzalbca2yHKu8qmvdUv+tc9a+no+JgGTrGPO24vVJAr1zdBLw8JFPvmOEoBegGnVJbDx6SylvvrnE2XdAGrgIDGknUKfastIx6gtNnBmLOyrhfHwncCGzdjANaUGPuqTGGJXTQCjD5nqd+rreevGhHxvHrEtdkb/rC8jXjN+ZjzOrc9s8G2SuuRD1cPcVHY9n9HTch/5UvVznflt63v3s7IzdqOf+cr64X6L3XUd0ndUWJvY1M7BqM+pbVvXMuPgS6+gC7tZ0xzwYS2ljHhVnazHpRhyalts4MxY7XO3Zhu+pdC3N58jHenbPmup93xMAv0n4Zi+PKTVJBMErZlC8I9sTWzavjWYtW3cEwQIFnWzpD766c/mWdvZNHOfTRQ59NRgNtIxamP8FHzL73tSx5lgzpjYUjcn6hIgsYd7DljF5ujBBvxfK+gbMe71Z8zKAhlsaBNG6md8GfFa85MxUlqfsXGJQc+H6IF52ObcS7KYH9qzidJ/5Ev058w4+DdTZmRn7c6c1LG32I3PWYcj29HJ2oIT19cup67lnl3Yy5xn/mFW1/wSL+rrmsOmrBN4Vx2ntlV7e8/dkm30q3NH7Ilt2JyYi9xIR9qrn9RZjk3AJOvY8/ccbOtDPHInD34CHA98r9B+yULQY6O6VcEvfK2B91Jjs7nNJE+nbExsODWxwOaZJOBSvi3paX3GJmztlZ4PPblr1vE8wH+mbJGd0XeOTN2ol/TUZ3j2uV/SNVt/ylq+dAzhuWg/8Mzaf4rcaz137bN2iu322ReBy+6m+/LtIawhGPDJZ3ZTmYFy6QA5M+alZUaJwKljEeTZ2K6RvGETetHfbiYkLvjzGqXnc/uWstq15EOVueb1lnnfIntNm6N7JsmK7OwZnfW4VWJ2DzHk1s9d71mbnWfl9kvAJGu/czNtGa+n29fS0507ggnKtwrIHRMuUsXXbEtvXLYOEF3XSrBiD/qZz/YrQj7htm+50uda557PbAS9r/iqDUs+VJlrXG95C7BF9hq2Vp08Z3nmLvlhqY5x6+v4c/QYcqvnrves3XrOHO86BEyyrsNVrRKQgAQkIAEJPDgBk6wHXwC6LwEJSEACEpDAdQiYZF2Hq1olIAEJSEACEnhwAiZZD74AdF8CEpCABCQggesQMMm6Dle1SkACEpCABCTw4ARMsh58Aei+BCQgAQlIQALXIWCSdR2uapWABCQgAQlI4MEJmGQ9+ALQfQlIQAISkIAErkPAJOs6XNUqAQlIQAISkMCDEzDJevAFoPsSkIAEJCABCVyHgEnWdbiqVQISkIAEJCCBBydgkvXgC0D3JSABCUhAAhK4DgGTrOtwVasEJCABCUhAAg9OwCTrwReA7ktAAhKQgAQkcB0CJlnX4apWCUhAAhKQgAQenIBJ1oMvAN2XgAQkIAEJSOA6BEyyrsNVrRKQgAQkIAEJPDgBk6wHXwC6LwEJSEACEpDAdQiYZF2H691p/fnz59OnT5+eOPfK79+/nz5//vz07du352bO7969e3rz5s3T+/fvu/3o8+XLl6e3b98+y338+PGJulq4Z9zv37/X6r+uv379+qyrNtCHvq1OZH79+vXc9uHDh9rlWRY7sJuj7Y9fsRd/27LGqcpvkU2/Jbtpx57Yhl91rtbs/vHjx4vPLZOMfatz2C/ZkbWFzb3CWmj7sgaoQzfrsrKpOqjPukW+rp1R26z+OpbXEpDA/RMwybr/Of7DQ5Kapc3pD8Fyw+bSbjil+Xkjoj0bF/pJrEgIsvmQuLQFW5LEIEuCwAbZK8ixuS4VNkZ0pCBLn14h+crY2F0L9+mHPvQiS+GeTRo/Y2/PpvgcHlV/e71FdmQ3NsIcfRzwjm+zdmMbetKvtfWUe9ZC+M32h/FSYW7ggExvHcMcDq0P9MsaJBllXnuFetZg5iVrAdlR26z+3pjWSUAC90tgOZrdr88P7RkbXm9zGkFhc2GjXipsML1kI/KzGzcb49KGzKaHHZzbgj91U8VWZNdKz65280YmG237hoTNOht3O1ZrU9te77fI0q9nd8sOnWGwxe6e7mrr1mvsQOeWMkqyoqedp9TDgSSsrgfaSOCxhcIaon+bBHNfx0YP/SijNtpn9CNnkYAEHouASdZjzffzhpfNZsZ1ZHkzMCpsTL3kJ31IUmY2WpKCkW3o6b3papM8xup9lRd7cu4lFCRNSaqSrMUm2qofvf7RzRl/2o28ttfrLbK9ceHSvsmKrVvs7umudm69hl3smO1bE52lPshkXiLDOCRG1Nckq02QkO/1b5NR9MSWUdus/tjpWQISeBwCJlmPM9fPnrIRtZvTCAHyo4QFXaMkLO2jJIzxGSfJzZI9bHTtmyP0kqBU/XmbsaQn9YxZN2Pq0YM/bK4c1SZk6ZPS6582ztiKzTNli+zSuNgau5NwMfYWu5d0z/jQk2H+K7OeTFuXxKatr/fI1HXMddYp1/hM8sPY3Lc62/7obn2v/UZtVS429vSnzbMEJPA4BEyyHmCuCfhLR5tktDjYXDiWSja0XjubHPprAtSTG/1+qsr3xur1ZUxk10q7cSJPohJ/8yYriRKJUDZyZHv9qU+hPbpSt3TeKtvOGxywD9YcXHNQtti95tOS/bUe25bWG/VrZVamzvHSmPiTN011HTJG7Y9NzHP9wEB7bBm1zepf89t2CUjg/gisR7z78/mhPWLTaTeXEZC1zR9d7YaPPhKU+jZlaQy+3kkysCST+t5YjMEmVwv2zPjYSyjazbfK1GvGI+Gqb7qqDVyvsavyW2Vb5tyjIwX/kyBssbuVjb5Tz9hR7ZrRE7tHsu08VdneOqnyJFvcs0ZrqcyoZ23ylpQyaqN9Rj9yFglI4LEImGQ91nw/b3hsGLOFDbK+vWn7oat++k87m35NfiJTN3E2u5qIcd8mD9HHmbcJNSHLm6YqwzU62CDXCn614/ED5vgb+5Ik5I0FZ9rYgEcssTVvwdZs2SLbs5v++IJdFJK/+LbF7jo/azbPtMMn/GbkkSFhGRV8rElNK8uYSY7SBh8OCnMSNtzX8Zj/zBny1fZR20g/Y1gkIIHHJDCOZo/J5K69ZtMYJQat88gmQWrbcs8mlc2dOr66oq4e0VE38fobosgmwYnuekY+GyD1yNb7yDLGSA9JB5tsxsQ2bKbQxj1tbKqMWX1jPOo5RmOgi40efTNlRnZkNzay0ccnruvYs3bX+Zmxe03m0kkWzGGV+anJUmxJe10bJOSZc+Y3bKhnLlOSoKEfhnXuR21L+qPXswQk8JgETLIebN63JlngWUsA2uTnGkjZ7LCjbnrcs7m1hbpWtpW59j0bci8B6I27RbbX/5J1e0+yLukrukjEknBdWrf6JCABCZhkuQZWCeQNSk1waifqSSiuuVmRyOVtE2Ov/ZYLWfq8RtnCY4vsLXypSVbeiuU8mzSeayfjWSQgAQncAwGj2T3M4g18IIEiaem9OWJ4kgW+ypn5LdQWc9HLuK1evspp61q9tN860QqnmYRzi2zr26XveZt262RqyYe92LFkn/USkIAEZgmYZM2SUk4CEpCABCQgAQlsIGCStQGWohKQgAQkIAEJSGCWgEnWLCnlJCABCUhAAhKQwAYCJlkbYCkqAQlIQAISkIAEZgmYZM2SUk4CEpCABCQgAQlsIGCStQGWohKQgAQkIAEJSGCWgEnWLCnlJCABCUhAAhKQwAYCJlkbYCkqAQlIQAISkIAEZgmYZM2SUk4CEpCABCQgAQlsIGCStQGWohKQgAQkIAEJSGCWgEnWLCnlJCABCUhAAhKQwAYCJlkbYCkqAQlIQAISkIAEZgmYZM2SUk4CEpCABCQgAQlsIGCStQGWohKQgAQkIAEJSGCWgEnWLCnlJCABCUhAAhKQwAYCJlkbYCkqAQlIQAISkIAEZgmYZM2SUk4CEpCABCQgAQlsIGCStQGWohKQgAQkcB6Bjx8/nqfA3hI4EAGTrANN1mua+vPnz6dPnz49ce6V379/P33+/Pnp27dvz83fv39/evfu3dObN2+e3r9/v9iPPm/fvn2W+/Dhw19y6GVc9I3K169fn758+fKHCH3oi45aohPbGBsb2vLjx48nNgPaa8G/2Nvrt8ap6toiS78Zu3/9+vXsMzbWuerZjY8w4ID9KQXm9F+bH3RjA7LtPGXc2JL7a5wZGza9dVHHY+3WdcN1Xd+RxSfWd00ckIUn/qCnzsOoDZ2MQT9sRHev1HnrsWSM+Nnrf426JT6MlXnNuffcILflGUY+a723dkcce88C+lK2PJdbZJmTMOjNW8aH5UzMi7znfRMwydr3/FzcOh5ugvSWQiAhkPHw9wr1tGczQX82qbTVTSg6sIUNChkOZHoBE3mCztKmQzvjEXRTkKVPrzAGAZ1CckDgi+3U0Re72sQB/ZHlemkjjM9VJ3p7ZYvsmt2MBwfsR2/Kmt3MwxL36BidYVLHq7Jtssc4LdfIs27OsSN61s7wYH6X1ke7dpbmiP6s2XaeU48dbPbMScqojXHz3GRdYmtbRpywhTFZ38zLLcoSn4w9a8eWZxg+rFt4tmtmxHHtWYjNaz5FjvMWWeSxF9vXCr7hi+XYBG7zFB6b0V1Zz8O9Nclqg18LZC0YEPSRaUsbbJKctXLcE8iyAbXt7aZDIEV2pqCXTSCbWfpS3xY2rhrQ8auXPNKvtanVVe+3yKZfazf1+Nxu+NSv2X1OkoUdJCyzZWkO6c+GMrP5zI41kmOTrnNZZalnTlJ66xtbl+aexDL9M0+Zl1Eb+qr/cM2HgdjCeWa9IDOb3FTdp1z3+FQ9M3a0PuU5rHp61721O+K49izUMVqbalt7vUW2jXutrtyzdkbPS+Q875uASda+5+fi1hGUCAizBdm1TZQgSkBoC3XZjHrtBDx008bRBsdWH8G8t+m0QR4fSYDWChtf25d7DuzCLwJibG/t6wX4OuZS0lNlcr1Ftmc3nLEVG7G76luze80PbIQBXNDNwXgUkhXq4U19uLNuuKcthY2zXUvph73YWdcmflZ/6E8diQrrABu4ZgzsQzfyyKCPNvr0ylKS1dvc8SNrILrQj+2cq9+MzX0t3OPXqA35moBxv7QZo4u2UQn/kcyl2np8qm78Cqf6PFUZ5jBrivrZZ7i3dkcc156FahPX2M28zZRZ2aV57Y0Bl17M68lat08Cf0aDfdqoVRckQFCqG9ma6rVgh65244xOgi9HNsHU1zNtkUNPu5lVWYINQbIW5AlutR9BjE10VPCLcelbZbmnjYJObMJGShsckaNuqWDrbICclV2yGxvREQ7c4wtlze41P9ARDugnucga4hr93LeJC2114+SauhSu0Utig17mI4U6NsvwQ44xsDX2oo8xuUeOa+S4z9zFzujNGZlqS62nLYX+6KwF27A1utmEsRV7qKt+0C+yo7Yql7HaeUs9ekbrDrneWOl/yTPjtHyW9DMnrFGOWqg/5RlGB3PVsgjvjFE51uul/unHefa53CLb2lDHa697Ma+V8X7fBP4f1fZtp9adQYCgs3S0AaodhiBWN522fS3gsyExRhtY0cOmRD1BdikA1/F6Y6EjSVBkGQ/ZmUJ/2OTTahugaxDH1rox17beWGvsap8tsvRr7W4DN/7jC2XN7jU/SF6SsD0rLH/YYJMIYVPlg03MfwrzhAyF+ca+tHOumzV6Mq+MTxIT2doW3ZxjJ7op7cb9XPnfn6XNiz4ZB9HemqtsozP887YqNtCeNTVqQw4f8SElOnOfc8+mtOXcszFt7fl/7Z2BldS6skVJgRhIgRwIgRhIgQzIgAyIgAhIgATIgBzmv933n0uha8vSjLvt6d5aq0e2VCqVttzWGdkM9EOMa5/Wvp6PxNLa009NXBOZ65QTE7630tK12+O49V1o+5v5Xo7ars1r2zfns3yXfFh2LIG/r/ZjY7H3GxDgRjBy80ooWzeOkZsANu2NFf/tzWbNLrEs9cXCHIEUu9EbdLVnnCQW2QgBzinHX3vM+dpifzH+348tdrEjn7FNu8qPRaouVJVlHQNt27jb+vhPvhZbhFLs6D8igbpWmFUBQ3xVVNEHcSUxtiz6LIzYJ9Gunqec9vghtaItNjXHT+aWcmKnr5rop9pQh29iq2KszgV1iS+MYturqz7oh/jqtUgZaSmmf2r+/MSGvq6dRmKpMSzFxTif+x1eunZ7HFv79rtQY+UY+1xTbV17Pmrbxtf6qeezfGtbj89B4PrfwnOM0yj+nwA3Ar64own7uvi17fDFTbKm3BhYYPiwcGXxwh83GRJlHGNDYpFO3aWg+dHuPrBwtQs5TfCRxb5xcTmt9cTKYpSbPDEwnsTOMTGTshNBTj1991gyvuzyXBx0fozY9uJmMeY3+DqOsNyKu87JUojUZ/4Yb3jAOH3QDh70RX2uAeIKo3CGCWWZO2zwT7v4bseaaxDua+KBuUpf9MFckkfg1LFRnjGlHPtW1OCvvb4zVuxJjBn26Ru/8U0/lVGvDluYMMb45LhN9FN9tvWcMzdrnJbsn1u2xif+Eivj4MP4ww2b536H45/romXR47j1XYjf5MSLv5E0aku8uc63/NI3fk2vl4Ai6/XO3bMizwI42njrJoofbuZ1MeCYGykLD3XcJFJP/7kp5qaLTey4Ca4lfNYbHjfYep529JFFOWU1ZwFi4aRPFrW6sNaYiL/1Q3+UL9XVPjiO6GjLl85HbHtx45NYl5hT14u7zgm2bcpCCC/mIHNJf5UPTPlQn8Ws1hMbc089H2wpg3/iy/wz1jqWCCXKc/3UOPFHfEnYcV7nNnXk9FcXe9rT31LCD/U1EefaNUSsxEg7bDIm2vfqqCcm2rXXJXVJES45b3P6Djv81Dlobfc4X+ITv4w3nLCr1w82xMZctGnrOwzTMA7nOtc9jrnWYLTFZuR7mdhHbYmb8Y0kxrHEZ6StNucg8OeudI54jOLKBPhyc5OeSVs3j1vcCFjkiKMudpxn8a3joay1rfW3ON5aCGsMM7a13V7HWyJrr37O5KdlzgLNdbyUbnF9L/W7VtbGvmZ3q/KX8HnE7/CoyFq6591qTu1nPwKKrP1Y3q2n/NZYBU4dLOXcOOpv7LV+j2Nu5PU3VXYqetvovUVzj3h6PmZ4zNj2+nxJXRVZ7ArUD/N6bwnmXDv1+ml3nOqYzzBHNZ6ziazn8nnU7/CoyGrvefUa8Pj1EFBkvZ65OjRSBBRf+qWdIwLjRsvWOzfOPRN+6bf1ywLZlrX9Uk/bW6ZwGhGcM7bXGAOLdQTVPYqpJWYISsbM9cO1RWIeEFm9dK3ru9fnWl2dN8ZzhvQcPo/2Hc61x/XXm7e1e94Z5tkY5gkosuaZ2UICEpCABCQgAQlsElBkbSLSQAISkIAEJCABCcwTUGTNM7OFBCQgAQlIQAIS2CSgyNpEpIEEJCABCUhAAhKYJ6DImmdmCwlIQAISkIAEJLBJQJG1iUgDCUhAAhKQgAQkME9AkTXPzBYSkIAEJCABCUhgk4AiaxORBhKQgAQkIAEJSGCegCJrnpktJCABCUhAAhKQwCYBRdYmIg0kIAEJSEACEpDAPAFF1jwzW0hAAhKQgAQkIIFNAoqsTUQaSEACEpCABCQggXkCiqx5ZraQgAQkIAEJSEACmwQUWZuINJCABCQgAQlIQALzBBRZ88xsIQEJSEACEpCABDYJKLI2EWkgAQlIQAISkIAE5gkosuaZ2UICEpCABCQgAQlsElBkbSLSQAISkIAEJCABCcwTUGTNM7OFBCQgAQlIQAIS2CSgyNpEpIEEJCABCUhAAhKYJ6DImmdmCwlIQAISkIAEJLBJQJG1iUgDCUhAAhKQgAQkME9AkTXPzBYSkIAEJCABCUhgk4AiaxORBhKQgAQkIAEJSGCegCJrnpktJCABCUhAAhKQwCYBRdYmIg0kIAEJSEACEpDAPAFF1jwzW0hAAhKQgAQkIIFNAoqsTUQaSEACEpCABCQggXkCiqx5ZraQgAQkIAEJSEACmwQUWZuINJDAOoGvX78+/fjxY93goJqfP38+ffny5aDeX9btx48fX+bA1hKQgAROQkCRdZKJMIzbEUB8vHv37unDhw+XTjl/8+bN5VMF0+/fvy92tazapg12SZ8/f774efv27dO3b99SfMmxoz11baId5fgkLkRSmyhPn8k/ffp0MSPGlCX//v37pa62q2Np/V/rvDJb6j/xJodFTeHGnCFqa4Ix5Ut+KWPs9N9LPR+9OnwezXZpXFu80wYxW9mEc65D6nNtwzLzU/Nfv35d2NeyHFNXU40rNswdqed/lDF2+Ktjqv17LIEjCCiyjqBun4cR4GbOIkKexE156caMgGkX8DVbfGVBZmFC4LCQZKFBNCEeEAmU14TP9+/fXxY02rK4sWC0iXiy6FHHecZBvtSm+qDf2Nfy2WPinfHTY0bfLY8aD+OFDT7CMvWMP5zbeLBnPtI2bdq856NX1/rZi23rl/O9eeMz1yq+kzhmzDCHNd+TiFr45hh76nO99erimxz/9ZcHYkj/Iz5GGOOHuPFtksAZCPx9tz9DRMYggSsS4KaexSHdUJabfcpYvGPLjTtpyTZ17c4AC3xdmLDDVysqiKf2j01+w4/vNmeRw38SbdpxpS75yCIV215OrJVJz5a6HjPqWx6UJbHotwxTl7w3rpZt2rR5z0evLn5GbGI7m+/Nm2sn12q97tq4euwiQNs2nPfqqj3XeP2lodYt+RhlzC8zvXHVfjyWwLUJKLKuTVj/pyLAgt2KkVYEcOOPDXkVFLRnceCG3/7G3O6QLS1S+KJtTfhEMNEvnyyA1aY9ZhGqv62zQ0D/fPDfPnKj/egi1fbVnu+96BNzmMIsC292UxhLxlbHnLh641qag7Srec9Hry4+RmxiO5vvzZvrC7btdd/GxZzUaz/1tKVuKfXqqj3zyDW8lNZ8jDJWZC1RtewoAn/f7Y+Kwn4lcCMCLBosvDW1i00WIWywpQ1lbYpgyiOQdhFYWuDTpvXFgkN7PhFcrU3OWYQQHWspi1S7A9TGt9Z+q3zvRT/9RWCGNQsxiznjIXHOGHKedr1xLc1B2tW856NXFx8jNrGdzffkja+8q5frnuuE67Im6tZEEOXttZW2vbrYkDOv+d7Uco7XfIwyZs4zxta35xK4NQFF1q2J29+hBFgcsognkCw2nEcEcUNvP7GveV3EET715l7r0ib+c06OeCCmupPVxljt+U19aaeq2jAm+q9pdJGqbXLcsqjnbT9pk7zyTdlaXvmMjqE3rqU5WOq756NXF18jNrEdyfG39nkJ7zWfVWT1dpm4RvGR3cY6ll5dteM7Uh9117qeD/qtcdZ29ZjvzpoIrHYeS+AWBBRZt6BsH6cgwKKNEGpv1D0RwILW2tfB1EW8HmPDQsKCVRO+WCxqatst2cSeRYgxtLs5qU8+KlBiP5Pju8ek9dXj29rWscOufSy1tNAulcVvyzblbd7z0auLnxGb2M7m1+K9NC8IoJ7Ap83aDlevro6ZOWm/F6nv+RhlzHeD7wi+TBI4msDfd/ujo7F/CVyZADf39rdobsZrN+R2QeA8u1URBBE8/PaMKEAI5R0pjmuiLYtFTSxq+I0tixjnJOLKcc6XFkHssrtFPMTRLmRZpIibRSgiBv+0pz5ju3S+8gPbvUQWfjJ2xs/YsogzDmLKOMiJO5wIj+OMaylc5pp4kzJnOSfv+ejVVR+Jgb6IkURf6Tv1tc3o8Z68a5/4DWvKGSu8yHNerz3KGdvSY761upY35+Fz6aT8WPMRk8oQW2KjLNd97LiG3MkKDfOjCfx9tz86GvuXwJUJICLqwkF3LDZZDGv3LOrcxOuigB3nlCNkWlHCopW6iIP4pN/aNosDCwYLA+34cJyFjP5qvLRnoWoTcRAP7bFZGg91tMWW+iyolBMrZSOLE3ZLMbQx5Rx7PksJIUUcxMAHfvBIIq6MC7twoR5+qWPMlRPtql/qaEvc9JPU89GrS/vk+AyT+IdlYqpiJm1G8z15p09Y5FoM01y7xJ9PrlHa1fHET/K1upY31/batbDmI31UxnBljrl+Wn/0QZ1JAmcg8Oduc4ZojEECVybADTkLX7qirL1Rp+6e8naRYoHKjgDjZEHNgtsbN6wiKHp2qXsEvi1buEY0cPySRV/e/1xJYRxhnuurzR/hemvH7Pl5CSiyzjs3DxFZftPlBlp3MBg8OxHsVHBT3Sux2LW7QY9yU84iBUu4krKrxXF2ivbkjd9H4FvZIuKzI8cx479lulfeYcw9g2uVhJCt9w2uXa5tyk0SOAMBRdYZZuHBY2Ah4lN3RyKG6uOKvTDhsz5eYlHiBp6b+F79nMUPbOv42K3ikQoJFuHOwkhlODgAABKvSURBVPWSx1pr471nvi1bGDDeLPLUj+wOrrF7Tvm98V5izLXKd7juEGJH2TXuGc+ZB9tIAAKKLK+DwwmwsHODzGLPb6aIAG6k7TtPhwdrABKQgAQkIIFBAoqsQVCaXYcA2/v85smH38BJ5Igrdl/qo4AaQf1tPbs0NY9gq208loAEJCABCdySgCLrlrTt6z8E2O7Pe0EIJ0QXO1uIpLx38Z9GFkhAAhKQgAReAQFF1iuYpHsOEUGFsEJscZxzBBfHe6a60+Xxn3+mLwtZ3Os1sOf9Q18SeA4BRdZzqNlmNwK8i0Vi54qXVhFXJMrrS62XwvLDx4UFhocSkIAEJHBKAoqsU07LYwTFv7rKI8H802veweLDb9a+9P4Y14GjlIAEJHCvBBRZ9zqzr2Bc+WvdrZhiFwuRlV2uVzAUQ9yRQN2lPMs/YMg1yXV5lph2RK4rCUjgSgQUWVcCq1sJSOB5BBBZeWzcemD3M4IHkV4fKWdnFCFUHz3HB/+CNXW1HfW9urQnV2RVGh5LQAJbBBRZW4Ssl4AEbkqgJ7IQOfnjnggjxBSJR8wcRzyx21QFEeWIMuzy50F4RE3q1V0Myo/qsxR7KAEJSGCRgCJrEYuFEpDAUQR6IqvGhFhCOJEiqmo9O14RXe1/TMy7gPmr7L266o9jRVZLxHMJSKBHQJHVo2OdBCRwcwIjIguBhTjKrhZBtjtZnLNzlbr6LhUCLI8ksVuruzQuPxRZBYaHEpDAJgFF1iYiDSQggVsS2BJZeSeLvIosjhFMCCE+2cUi9lYcVZHVq2vH3dq29Z5LQAISqAQUWZWGxxKQwOEEtkQWAbJD1b6TxSPA7Ejl8WFEGOKr/ivWKrJ6dS0MRVZLxHMJSKBHQJHVo2OdBCRwcwIjIitBRfREVKWcvAqpekwdgiw7Xb06bGtKf7XMYwlIQAJrBBRZa2Qsl4AEDiHQE1nsOuVfBWLHOYkdKwRQdqvy6DA7W7zknn9dmLq8r9WrawEosloinktAAj0CiqweHeskIIGbE+iJLOoQS4gddqPyOJAg86cYqMMG25r4vzBTl12s1PfqYkOuyKo0PJaABLYIKLK2CFkvAQnclEBPZN00kIXOFFkLUCySgARWCSiyVtFYIQEJHEEAkYWYOZOg4b2ts8V0xNzYpwQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUjgDAR+/vz59OXLlzOEYgwSkIAENgkosjYRaSABCdyKAALq3bt3Tx8+fLh0+ePHj6c3b9789fn+/ft/wvn48eN/xNfnz5+f3r59e2n76dOnp9+/f//bDrFGP/imr1r37du3f+uwSX/Yca7I+xejBxKQwAYBRdYGIKslIIHbEEBQIYrIkziO4EpZm0cUVfHD8fv37y/iCQHViiPOv379eqnHPyKMlBgQYST8IMSSUk+fJglIQAJbBP7cPbYsrZeABCRwRQIImlZQbYmsX79+PWUXq4os/FQhhKCKbwRUFU7sVCHuSEsxYEs/SeyQ1b5Sbi4BCUigJaDIaol4LgEJHEKgCqEEgCBCAOWxHwKnJgQWAgjRU4UPgiqP+bBHrEVYtf3UuvRXd7IiztKvIiskzCUggS0CiqwtQtZLQAI3ITCya5XHfASEqIqQishCQOEH8cWHR4V8qOfxYdpV4VRFFvXsgCHI+CDuIrgujf/3oxVwKTeXgAQk0BJQZLVEPJeABA4hgEBCGPUSYikCKUKozRFN7G4hyKhDXEV04Zt+Irg4ryILQUVdHg/SXx4lYkvCFz5MEpCABLYIKLK2CFkvAQlcnUDEDIKnl6rIqnaU81lLCLO8o1VFFfbshiHISEv+EWo1LgQYwqvX38WZPyQggYcnoMh6+EtAABI4BwFEUN1hIiqETN7Dyu5UxFKNGrv8C8FaThvK2zpEUnaj2JmKYKKMuuxk0Rfn9U88uJNVCXssAQn0CCiyenSsk4AEbkaAHaU8Ckyn2WViN2lt9ygvq2NT359CMLFDFQEVn+TsTOVxIqKpiihEHX3lUWPe+0p77JeEXurNJSABCYSAIiskzCUggUMJIIZakXVoQCudE+eScFsxt1gCEnhgAoqsB558hy6BNQJ5b4ndnLrLgz2P9NgFyiO1NR+z5Xk0V99/mvVxbfs8ssyjxmv3p38JSOB1E1Bkve75M3oJXI0Au0p8quiJEMp7Unt3nkd1Z9zRIiYeI15r7Huz1J8EJHA8AUXW8XNgBBI4JQFeFq8iix0t3kdiJ6t9T+mUAzAoCUhAAgcTUGQdPAF2L4EzEuCxGDs2fPL+ETniaukRYsZQHzNi137iK/bmEpCABO6ZgCLrnmfXsUngmQR4LIigQhTxQXSxs4WIav/MwjO7sJkEJCCBuyegyLr7KXaAEpgngKBCWCG2OM45govjPVO72/Uaz/fkoS8JSOB+CCiy7mcuHYkEdiOQF8/Zuap/n4pyhNda8nHhGhnLJSCBRySgyHrEWXfMEugQyP/fh0n+ZAEvvfNhl8mX3jvwrJKABCRQCCiyCgwPJSCBp3//EnorptjFQmRll+tarHgkmUeG7IydIWXsxHWWmM7AxRgkIIE+AUVWn4+1EpDAjQnkZfulbtlli+DhD6LWR5fZgUMI1Uec8cO/lExdbUd9ry7tyRVZlYbHEpDAFgFF1hYh6yUggZsS6IksRE7+f0KEEWKKxKNMjiOe8m5Ydp0oR5Rhlz9DwaNQUq/uYlB+KLIKDA8lIIFNAoqsTUQaSEACtyTQE1k1DsQSwokUUVXr2fGK6OKPqOI3iT9Dkf8ap1cX++SKrJAwl4AERggoskYoaSMBCdyMwIjIQmAhjrKrRXDtThbn7FylLrtanCPAIrqwW6u7NC4/FFkFhocSkMAmAUXWJiINJCCBWxLYEll5J4u8iiyOEUwIIT7ZxSL2VhxVkdWra8fd2rb1nktAAhKoBBRZlYbHEpDA4QS2RBYBskPVvpPFI8DsSOXxYUQY4qv+a8kqsnp1LQxFVkvEcwlIoEdAkdWjY50EJHBzAiMiK0FF9ERUpZy8Cql6TB2CLDtdvTpsa0p/tcxjCUhAAmsEFFlrZCyXgAQOIdATWew65V8FYsc5iR0rBFB2q/LoMDtbvOSef12Yuryv1atrASiyWiKeS0ACPQKKrB4d6yQggZsT6Iks6hBLiB12o/I4kCDzpxiowwbbmvg/F1OXXazU9+piQ67IqjQ8loAEtggosrYIWS8BCdyUQE9k3TSQhc4UWQtQLJKABFYJKLJW0VghAQkcQQCRhZg5k6Dhva2zxXTE3NinBCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlIQAISkIAEJDBEQJE1hEkjCUhAAhKQgAQkMEdAkTXHS2sJSEACEpCABCQwRECRNYRJIwlIQAISkIAEJDBHQJE1x0trCUhAAhKQgAQkMERAkTWESSMJSEACEpCABCQwR0CRNcdLawlI4BkEvn79+vTjx49ntHx5kyP7fnn0epCABF4zAUXWa549Y78rAh8+fHh68+bN0+fPn/8a1/fv3y/lX758+av8pSe/fv16+vTp0xP9rqWPHz8+bfX7+/fvp3fv3v0lomjDWOoHuz0Too3Y2/hu0ffIOIhvaT5H2mojAQncBwFF1n3Mo6O4AwIRDa3oef/+/WWx3lOkINwQIz2R9e3bt4t4akVMixofSyJrq13rZ+Yc38QHm7YfztuyGd972jKXsF5KCFh22UwSkMD9ElBk3e/cOrJXRgDRgDioIotzdrYQE9dIbX/pg12u7GL1BEvEGjHXx4G06bVLPy/N6bft51Z9j8TOvO0pjkf61EYCEjgPAUXWeebCSB6cADtCiBseMZFYnBE6iKz2EWJFhdCoj+Xa42rbHiNIqqhLPf0SS0+wEF/akleRxQ4Nu1vE8vbt28uuU3y3eRtvPY//tk3OqW9F1kjfxI4AYpw/f/68xEqcjBnWxFCZZ6yU0ydzRVkSMdCeeupI1MMA8UxdFcrYURe7tVguBv/7QYzEmnbESYrvlGNnkoAEzkNAkXWeuTCSByfAIkpiwSRFdLGorz1yuhi+4MeSyKIs/XHMZ+nl8QgxuidGRFbGUEOinDFdQwAsiayRvhkPY0TcML5WdFGH7yTsIqzSLnWIMeoRPtThjxQ7+sJ/5jV1EWNrsUS04heRhh2JvlJHebjW+bgY+kMCEjicgCLr8CkwAAk8XRboLLrscLBAZyeFxTk7F3uzQhBUMYF/+lv6ZGHHJsJpyY76Nm2JodZ+9HzE75oNjLObRH/ZdeIYQRP+rR27R6mLeFqaH2wiOqlHHCXBHT9J6QN/JGLJMX5ybWCHsEp/6SPn8WcuAQmcg4Ai6xzzYBQPToAFN4suoiCLLGKmCoElTNgviZ2ULbVJ2ZLISh059Xy2EjFUEdbarwkd7BLnUk67Xur5Tbs1GwRKxoagQbwkIY4yHmywTcIfYoeEzVqMdcepCjPaZeeLY1KNpRVk+A+bGtc/Lf8RhFwj2dFKubkEJHA8AUXW8XNgBBK47Hhk4WbXIo+GWHzrDsjeqPC/JhLoC4GRXRTOsY0w4TyJ8ohEyjjPeBAiiIRr7LbApo1ntO8qgoiVdknEi/DCdxhwzrzQDnuOGVsEMeMLK2zxkUR5FVrUIYoyzzUWynIN4LMdTwQf5WGKfcshfZtLQALHEfhzFzguBnuWwEMTYPFl0WWhrSnihDqO90ws8CzS+E7fVSTRFzbs7lCfXRLatIt54q87QdikLSIkgmuvMdAnvBI/cSXGkb5bEVR3koiRmPGPXThkt4jdpNRhG441BsZb5xP/8EiMHGOP/zYW2jKuzAfnYUnfVVjV8aecmEwSkMA5CCiyzjEPRiEBCUhAAhKQwJ0RUGTd2YQ6HAlIQAISkIAEzkFAkXWOeTAKCUhAAhKQgATujIAi684m1OFIQAISkIAEJHAOAoqsc8yDUUhAAhKQgAQkcGcEFFl3NqEORwISkIAEJCCBcxBQZJ1jHoxCAhKQgAQkIIE7I6DIurMJdTgSkIAEJCABCZyDgCLrHPNgFBKQgAQkIAEJ3BkBRdadTajDkYAEJCABCUjgHAQUWeeYB6OQgAQkIAEJSODOCCiy7mxCHY4EJCABCUhAAucgoMg6xzwYhQQkIAEJSEACd0ZAkXVnE+pwJCABCUhAAhI4BwFF1jnmwSgkIAEJSEACErgzAoqsO5tQhyMBCUhAAhKQwDkIKLLOMQ9GIQEJSEACEpDAnRH4P16s/8TrZNb1AAAAAElFTkSuQmCC)
Thus,
total machines required for one year business operations are 15.
Question
Two:
In
a company the demand is measured in machine-hours. Management is concerned about
the capacity in the assembly department. The weekly production requirements for
the assembly department are as follows. Calculate the average weekly production
requirements by Monte Carlo simulation technique. 15 marks
Weekly
Production Requirements (hour)
|
205
|
255
|
305
|
355
|
405
|
455
|
505
|
555
|
605
|
According
to the historical records and data, production requirements vary over the time
in the production and assembly departments of the company. For monte carlo
simulation, business administration need to have information about relative
frequency that is calculated in the following table.
Weekly Production Requirements (hour)
|
Relative
Frequency
|
205
|
0.056241
|
255
|
0.069959
|
305
|
0.083676
|
355
|
0.097394
|
405
|
0.111111
|
455
|
0.124829
|
505
|
0.138546
|
555
|
0.152263
|
605
|
0.165981
|
∑3645
|
∑1
|
The weekly relative frequency is calculated
by the use of following formula:
![](data:image/png;base64,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)
Thus, the average weekly production is around
447 as concluded by the monte carlo simulation.