Question

If the corner points of the feasible region are (0, 0), (3, 0), (2, 1) and `(0, 7/3)` the maximum value of z = 4x + 5y is ______.

Options

• 12

• 13

• `(35)/(2)`

• 0

Answer 1

If the corner points of the feasible region are (0, 0), (3, 0), (2, 1) and `(0, 7/3)` the maximum value of z = 4x + 5y is 13.

Explanation:

Z = 4x + 5y

At (0, 0), Z = 0 + 0 = 0

At (3, 0), Z = 4(3) + 0 = 12

At (2, 1), Z = 4(2) + 5(1) = 13

At `(0, 7/3)`, Z = `0 + 5(7/3)` = 11.67 

The maximum value of Z is 13.