Assignment:
Acme Babyfoods mixes two strengths of apple juice. One quart of Beginner's juice is made from 30 fluid ounces of water and 2 fluid ounces of apple juice concentrate. One quart of Advanced juice is made from 20 fluid ounces of water and 12 fluid ounces of concentrate. Every day Acme has available 30,000 fluid ounces of water and 3,600 fluid ounces of concentrate. Acme makes a profit of 20 cents on each quart of Beginner's juice and 30 cents on each quart of Advanced juice. How many quarts of each should Acme make each day to get the largest profit? How would this change if Acme made a profit of 40 cents on Beginner's juice and 20 cents on Advanced juice?
You will be turning in two (2) deliverables, a short write-up of the project and the spreadsheet showing your work.
Write up:
Problem introduction
- Write up the LP model for the problem. Include the objective function and all constraints, including any non-negativity constraints.
- Present the optimal solution, based on your work in Excel. Explain what the results mean.
- Write a paragraph addressing the part of the problem pertaining to sensitivity analysis and shadow price.
Excel:
As previously noted, please set up your problem in Excel and find the solution using Solver. Clearly label the cells in your spreadsheet. You will turn in the entire spreadsheet, showing the setup of the model, and the results.