Question: Consider the following linear program (LP): max Z = 10x1 + 7x2 s.t. 4x1 - 2x2 = 0 a) What are the objective function values

Consider the following linear program (LP):

max Z = 10x1 + 7x2

s.t.

4x1 - 2x2 <= 16

6x1 + 4x2 <= 24

3x1 >= 15

x1, x2 >= 0

a) What are the objective function values at each feasible corner point solution?

b) What is the optimal solution (x1, x2) and objective function value?

c) Are any of the constraints redundant? Which one(s)? How do you know?

d) What are the feasible corner point objective function values for the following formulation:

max Z = 10x1 + 7x2

s.t.

4x1 - 2x2 <= 16

6x1 + 4x2 <= 24

x1, x2 >= 0

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