Question: Given the following linear program: Max 3 x 1 + 4 x 2 s.t. 2 x 1 + 3 x 2 < 24 3 x

Given the following linear program:

Max 3x1 + 4x2

s.t. 2x1 + 3x2 < 24

3x1 + x2 < 21

x1, x2 > 0

Identify the feasible region. (You must draw the feasible region.) (5 points)

Find all the extreme points list the value of x1 and x2 at each extreme point. (6 points)

What is the optimal solution? (4 points)

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