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.
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:
Thus, the average weekly production is around
447 as concluded by the monte carlo simulation.