Question: Consider the following linear program. Min 10,000X 1 + 8,000X 2 s.t. C1: X 1 8 C2: X 2 10 C3: X 1 + X

Consider the following linear program.

Min 10,000X₁ + 8,000X₂

s.t. C1: X₁ 8

C2: X₂ 10

C3: X₁ + X₂ 25

C4: 3X₁ + 2X₂ 84

X₁, X₂ 0; = integer

There are four extreme points: (15,10); (21.33,10); (8,30); (8,17)

Based on this information, determine the optimal solution and optimal value. Additionally, determine the amount of slack or surplus in each constraint. Be sure to label it appropriately as slack or surplus.

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