Posted by **sateko** on Monday, April 18, 2011 at 1:13pm.

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

- math -
**Damon**, Monday, April 18, 2011 at 1:21pm
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?

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