Question: Consider the following optimization problem: MAX: X1 + X2 Subject to: -4X1 + 4X2 1 -8X1 + 10X2 15 X1, X2 0

Consider the following optimization problem:

MAX: X1 + X2

Subject to:

-4X1 + 4X2 ≤ 1

-8X1 + 10X2 ≥ 15

X1, X2 ≥ 0

a. What is the optimal solution to the problem?

b. Now suppose that X1 and X2 must be integers. What is the optimal solution?

c. What general principle of integer programming is illustrated by this question?

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