MAT 540 QuantitativeMethodsWeek7
. Formulate and solve linear programming model.
Letting: x1 = pizza slices
x2 = hot dogs
x3 = BBQ sandwiches
Model is for the 1st home game.
Objective is to maximize total profit.
Maximize Z = $0.75x1 + $1.05x2 + $1.35x3
Subject to the following constraints:
Budget: $0.75x1 + $0.45x2 + $0.90x3 ≤ $1,500
Space: 24x1 + 16x2 + 25x3 ≤ 55,296 sq. inch of oven space
x1 – x2 – x3 ≥ 0 (at least as many slices of pizza as hot dogs and
barbeque sandwiches combined)
x2 – 2x3 ≥ 0 (at least twice as many hot dogs as barbeque
x1, x2, x3 ≥ 0 (non-negativity constraint)
You'll get 1 file (18.7KB)
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