The maximum value of `z = 6x + 8y` subject to`x- y ge 0, x + 3y le 12, x ge0 ` is …….

Options

A. 72
B. 42
C. 96
D. 24

Answer

A

Explanation

We have ,`z = 6x + 8y` subject to constrants `x-y ge 0 , x + 3y le 12, x ge 0, y ge 0`
On taking given constraints as equations we get the following graph

Intersecting point of the line x - y = 0 and ` x + 3y = 12` is B (3,3)

`therefore ` Maxium value of Z is 72.