Question
Poppa Bills restaurant needs your help creating a spreadsheet to determine the best way to optimize the inventory in his pizza warehouse. Poppa Bill wants
Poppa Bills restaurant needs your help creating a spreadsheet to determine the best way to optimize the inventory in his pizza warehouse. Poppa Bill wants to maximize profits while ensuring he makes enough pizzas to fulfill demand. Poppa Bill will distribute the pizzas to his chain of restaurants and any additional pizzas will be sold online as take-and-bake direct from the central pizza warehouse. In a particular production process, three materials are used to produce five different pizzas. The available ingredients for making the pizzas include the following:
Poppa Bills Pizzas
| Meat Lovers | Cheese | Vegetarian | Classic Italian | The Hawaiian |
Sale Price | 20 | 15 | 18 | 15 | 18 |
Cost | 15 | 8 | 12 | 9 | 12 |
Ingredients Required (In Grams)
| Meat Lovers | Cheese | Vegetarian | Classic Italian | The Hawaiian |
Flour | 1.5 | 1.5 | 2 | 2 | 2.5 |
Pepperoni | 3.5 | 0 | 0 | .5 | .5 |
Peppers | 0 | 0 | 3 | 1 | 0 |
Mushrooms | 0 | 0 | 7 | 1 | 0 |
Sausage | 6 | 0 | 0 | 0 | 4 |
Sundried Tomatoes | 0 | 0 | 5 | 2 | 0 |
Cheese | 3.5 | 9 | 3 | 2 | 2 |
Ingredients Available
| Amount Available in Grams |
Flour | 800 |
Pepperoni | 600 |
Peppers | 1000 |
Mushrooms | 200 |
Sausage | 500 |
Sundried Tomatoes | 300 |
Cheese | 1000 |
Define the decision variables (changing variables)
Define the objective function in terms of the decision variables
Write the constraints in terms of the decision variables
Using Linear Programming determine the maximum profit for Poppa Bill (use Excel Solver)
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