Correct Answer: z = 18.

Explanation:

We get the following conditions, x$\ge 0,y\ge 0,x+y=5,x\le 2,y\le 4$

As the maximum value of x is 2,

So the values ofx may be x = 0,1,2.

And as the maximum value of y is 4,

So the values ofy may be y = O, 1, 2, 3, 4.

And according to another condition x + y = 5

This also approves the first condition because here x + y = 2 + 3 = 5

That mean’s if we take x = 2 and Y = 3.Then x + y = 5 equation will be true.

From here, we get the maximum value of x = 2 and

The maximum value of y = 3.

The maximum value of z = 6x + 2y=> (6×2)+(2×3)

=> z = l2 + 6

so, z = 18.