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