What is the maximum value of [z = 8x + 7y] , subject to the conditions {2x + 4y >= 4, 2x + 3y <= 12, x >= 0, y >= 0}

Answer 1

this is a linear programming problem

sketch the four lines
a 2x + 4y = 4 (0,1) to (2,0) over it
b 2x + 3y = 12 (0,4) to (6,0) under it
c x = 0
d y = 0
You have a four sided figure , must be inside with corners
(0,1)(2,0) (0,4) (6,0)

find z at each corner
which is biggest?