Assignment 3: Julia’s Food Booth
Quantitative Methods - MAT
Assignment #3: Julia’s Food Booth
A. Formulate and solve an L.P. model for this case:
X1 = pizza slices
X2 = hot dogs
X3 = B B Q sandwiches
This model is set up for the first home game.
Next, you would maximize Z = $0.75 x1 + 1.05 x2 + 1.35 x3 which is subject to the following:
$0.75x1 + 0.45x2 + 0.90x3 = 2.0 so x1, x2, x3 >=0
All of which is displayed in the graph below. (Note: The oven space needed for a slice of pizza is determined by dividing the total space required by the slice of pizza, 14 x 14 = 196 in^2 by 8 or 24 in^2 per slice. The total space available would be the dimensions of the shelf, 36 in. x 48 in. = 1,728 in^2, multiply that by 2, the times before kickoff and halftime, thus the oven will be filled 55,296in^2.