For finding the effect on the optimal solution there is need to add new parameters according to the required change s Z_new=3.10X+3Y But it can be noted that the rate at point 0 will be Z_new |_0=0 Now at point A this value will become Z_new |_A=1581 This value can be evaluated at the point B Z_new |_B=2949 The new value can be evaluate at point C Z_new |_C=3000 Now it can be noted that if the value of the profit changes from 3 OMR then according to that the optimal value of the system will be

For finding the effect on the optimal solution there is need to add new parameters according to the required change s

Z_new=3.10X+3Y

But it can be noted that the rate at point 0 will be 

Z_new |_0=0

Now at point A this value will become 

Z_new |_A=1581

This value can be evaluated at the point B 

Z_new |_B=2949

The new value can be evaluate at point C

Z_new |_C=3000

Now it can be noted that if the value of the profit changes from 3 OMR then according to that the optimal value of the system will be change and then according to that the value of X and Y will be changed and the maximum profit will become 3000 OMR at point C

4. Solve the linear programming model for Khadija Textile Mills by using the computer. Produce the solution and tell if Khadija Textile Mills can obtain additional cotton or processing time, but not both, which should it select? How much? Explain your answer.

 It will be maximize at the value of 

Maximuze Z=2.25X+3.10 Y

It will be subjected to the following constraints

5X+7.5Y=6500

3X+3.2Y=3000

Max demand for rough                       Y=510

5.  Identify the sensitivity ranges for the objective function coefficients and for the constraint quantity values. Then explain the sensitivity range for the demand for Smooth.