21 What is the optimal solution for the following problem Mi

21. What is the optimal solution for the following problem?

Minimize C = 3x + 15y

subject to 2x + 4y 12

5x + 2y 10

and x 0, y 0.

(6, 0)

(0, 3)

(0, 5)

(1, 2.5)

(0, 0)

With the same problem I also need to find the optimal solution for

Maximum C = 3x + 15y

subject to 2x + 4y 12

5x + 2y 10

and x 0, y 0.

Solution

sol) Using Excel solver

a)

Hence Optimum solution is(6,0)

Hence min Z=18

b)

Hence optimum sol is (0,5)

Max Z=75