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
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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
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.
b. Create a spreadsheet mode for this problem, and solve it using Solver.
c. What is the optimal solution?
Transcribed Image Text: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 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. b. Create a spreadsheet mode for this problem, and solve it using Solver. c. What is the optimal solution?
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