In: Operations Management
Problem: Using Solver, solve the linear program to find the optimal number of batches to make of each of the three cookies.
| Price per chocolate chip cookie | $ 1.50 | ||||||
| Price per sugar cookie | $ 1.00 | ||||||
| Price per snickerdoodle cookie | $ 1.00 | ||||||
| Recipes for one batch | |||||||
| Number of cookies/batch | 20 | 20 | 30 | ||||
| Ingredient | Chocolate chip cookie recipe | Sugar cookie recipe | Snickdoodle recipe | ||||
| Butter (sticks) | 2 | 2 | 2 | ||||
| Sugar (cups) | 1 | 2 | 1 | ||||
| Eggs | 2 | 3 | 1 | ||||
| Chocolate chips (cups) | 1 | 0 | 0 | ||||
| Flour (cups) | 2 | 2 | 2 | ||||
| Vanilla extract (teaspoons) | 0 | 0 | 0.75 | ||||
| Baking powder (teaspoons) | 0 | 0 | 1 | ||||
| Ingredients available: | |||||||
| 6 sticks of butter | |||||||
| 5 cups of sugar | |||||||
| 12 eggs | |||||||
| 2 cups of chocolate chips | |||||||
| 10 cups of flour | |||||||
| One eight ounce container of baking powder | |||||||
| One one ounce container of vanilla extract | |||||||
| Note: One ounce = 6 teaspoons | |||||||
| Using Excel, build a spreadsheet model of the problem (you can modify the one done in class if you'd like). | |||||||
| Using Solver, solve the linear program to find the optimal number of batches to make of each of the three cookies. | |||||||
Total revenue of the product mix is determined as follows:
Revenue per batch = (no. of cookies/batch) x (price per cookie)
Total revenue = Sum of (No. of batches of cookies x revenue per batch)
The excel model is as followed:

Solver solution is as follows:

Optimal Solution:
|
Product |
Chocolate chip cookie recipe |
Sugar cookie recipe |
Snickdoodle recipe |
|
No. of batches |
2 |
0 |
1 |
Total revenue = $90