The Dongguk Furniture Company builds two types of computer desks from coated wooden board. The Superior model needs 50 square feet of wooden board, 2 keyboard trays, and 8 hours of labor to assemble. Its selling price is $159. The Shiny model needs 35 square feet of wooden board, 1 keyboard tray, and 5 hours of labor to assemble. Its selling price is $135. In the next week, the company can buy up to 25,000 ft2 of wooden board at $2.45 per ft2 and up to 800 keyboard trays at a cost of $5.35 each. The company considers manufacturing labor as a fixed cost and has 4000 labor hours available in the next week for the assembly of these desks. a. Formulate an optimization model for this problem algebraically. b. Formulate and solve an optimization model for this problem on a spreadsheet.
The Dongguk Furniture Company builds two types of computer desks from coated wooden board. The Superior model needs 50 square feet of wooden board, 2 keyboard trays, and 8 hours of labor to assemble. Its selling price is $159. The Shiny model needs 35 square feet of wooden board, 1 keyboard tray, and 5 hours of labor to assemble. Its selling price is $135. In the next week, the company can buy up to 25,000 ft2 of wooden board at $2.45 per ft2 and up to 800 keyboard trays at a cost of $5.35 each. The company considers manufacturing labor as a fixed cost and has 4000 labor hours available in the next week for the assembly of these desks. a. Formulate an optimization model for this problem algebraically. b. Formulate and solve an optimization model for this problem on a spreadsheet.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.6: Production Process Models
Problem 29P
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The Dongguk Furniture Company builds two types of computer desks from coated wooden board. The Superior model needs 50 square feet of wooden board, 2 keyboard trays, and 8 hours of labor to assemble. Its selling price is $159. The Shiny model needs 35 square feet of wooden board, 1 keyboard tray, and 5 hours of labor to assemble. Its selling price is $135. In the next week, the company can buy up to 25,000 ft2 of wooden board at $2.45 per ft2 and up to 800 keyboard trays at a cost of $5.35 each. The company considers manufacturing labor as a fixed cost and has 4000 labor hours available in the next week for the assembly of these desks. a. Formulate an optimization model for this problem algebraically. b. Formulate and solve an optimization model for this problem on a spreadsheet.
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