Given 0 ≤ 2x - y + 2, x ≥ 0, y ≤ 4 and 3y ≥ 8x - 24, find the maximum value of f (x,y)= 2x-y?

Question

a 8

b 6

c -2

Answer 1

if you sketch the region of your conditions you see that it is convex and thus the function f(x,y) has its extremes at a corner point...in particular at (0,-8) for a value of 8..simplex concepts