Question: Consider the following linear programming model: Minimize Costs = $2P + $3R Subject to 2.5P + 4R 100 (units of calcium) 7.5P + 3R

Consider the following linear programming model:

Minimize Costs = $2P + $3R

Subject to

2.5P + 4R ≥ 100 (units of calcium)

7.5P + 3R ≥ 120 (units of calories)

2P + 6R ≥ 90 (units of protein)

R ≥ 5 (ounces)

P, R ≥ 0

1. What are the optimal solution values of the decision variables?

2. How much surplus or slack does each constraint have, and what do these values mean?

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