A company manufactures and sells three types of doors: steel, wood, and aluminium. Labor, energy and capital requirements along with profit margins are reported in the following table: Steel Wood Aluminum Labor (Hours) 9 12 8 Energy (Units) 20 14 16 Capital ($) 90 50 70 Profit Margin ($) 45 35 52 The manager of the company has decided to sell more wood doors than the combined total steel and aluminum doors sold. Due to demand constraint, steel doors sold cannot exceed 30. The company has available 600 hours of labor, 450 units of energy and $40,000 of capital. The objective of the company is to maximize total profit.
A company manufactures and sells three types of doors: steel, wood, and aluminium. Labor, energy and capital requirements along with profit margins are reported in the following table: Steel Wood Aluminum Labor (Hours) 9 12 8 Energy (Units) 20 14 16 Capital ($) 90 50 70 Profit Margin ($) 45 35 52 The manager of the company has decided to sell more wood doors than the combined total steel and aluminum doors sold. Due to demand constraint, steel doors sold cannot exceed 30. The company has available 600 hours of labor, 450 units of energy and $40,000 of capital. The objective of the company is to maximize total profit.
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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Step 1: Explain the concept of 'Linear programming model':
VIEWStep 2: Identify the decision variables:
VIEWStep 3: Identify and formulate the objective function:
VIEWStep 4: Identify and formulate the constraints:
VIEWStep 5: Formulate the above business problem as a Linear Programming Model:
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