16. Bearland Manufacturing produces 4 different types of wood paneling. Each type of paneling is made by gluing and pressing together a different mixture of pine and oak chips. The following table summarizes the required amount of gluing, pressing, and mixture of wood chips required to produce a pallet of 50 units of each type of paneling: Paneling Type Glue (quarts) Pressing (hours) Pine chips (pounds) Oak chips (pounds) Resources Required per Pallet of Paneling Type Pacific Savannah Aspen Tahoe 50 50 500 500 50 150 400 750 100 100 300 250 50 50 200 500 b. Create a spreadsheet mode for this problem, and solve it using Solver. c. What is the optimal solution? Assume the company has 6,000 quarts of glue; 7,500 hours of pressing capacity; 30,000 pounds of pine chips; and 62,500 pounds of oak chips available in the next production cycle. Further assume that each pallet of Tahoe, Pacific, Savannah, and Aspen panels can be sold for profits of $450, $1,150, $800, and $400, respectively. Finally, for marketing purposes, the company wants to produce at least 4 pallets of each type of paneling. a. Formulate an LP model for this problem.
16. Bearland Manufacturing produces 4 different types of wood paneling. Each type of paneling is made by gluing and pressing together a different mixture of pine and oak chips. The following table summarizes the required amount of gluing, pressing, and mixture of wood chips required to produce a pallet of 50 units of each type of paneling: Paneling Type Glue (quarts) Pressing (hours) Pine chips (pounds) Oak chips (pounds) Resources Required per Pallet of Paneling Type Pacific Savannah Aspen Tahoe 50 50 500 500 50 150 400 750 100 100 300 250 50 50 200 500 b. Create a spreadsheet mode for this problem, and solve it using Solver. c. What is the optimal solution? Assume the company has 6,000 quarts of glue; 7,500 hours of pressing capacity; 30,000 pounds of pine chips; and 62,500 pounds of oak chips available in the next production cycle. Further assume that each pallet of Tahoe, Pacific, Savannah, and Aspen panels can be sold for profits of $450, $1,150, $800, and $400, respectively. Finally, for marketing purposes, the company wants to produce at least 4 pallets of each type of paneling. a. Formulate an LP model for this problem.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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