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The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act cre- ated considerable excess production capacity. Management is con- sidering devoting this excess capacity to one or more of three prod- ucts; call them products 1, 2, and 3. The available capacity on the machines that might limit output is summarized in the following table: Available Time Machine Type (Machine Hours per Week) Milling machine 500 Lathe 350 Grinder 150 The number of machine hours required for each unit of the re- spective products is Productivity coefficient (in machine hours per unit) Machine Type Product 1 Product 2 Product 3 Milling machine Lathe 3 5 5 4 Grinder 3 2

The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act cre- ated considerable excess production capacity. Management is con- sidering devoting this excess capacity to one or more of three prod- ucts; call them products 1, 2, and 3. The available capacity on the machines that might limit output is summarized in the following table: Available Time Machine Type (Machine Hours per Week) Milling machine 500 Lathe 350 Grinder 150 The number of machine hours required for each unit of the re- spective products is Productivity coefficient (in machine hours per unit) Machine Type Product 1 Product 2 Product 3 Milling machine Lathe 3 5 5 4 Grinder 3 2

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.29P
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3.1-11.* The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act cre- ated considerable excess production capacity. Management is con- sidering devoting this excess capacity to one or more of three prod- ucts; call them products 1, 2, and 3. The available capacity on the machines that might limit output is summarized in the following table: Available Time Machine Type (Machine Hours per Week) Milling machine Lathe 500 350 Grinder 150 The number of machine hours required for each unit of the re- spective products is Productivity coefficient (in machine hours per unit) Machine Type Product 1 Product 2 Product 3 Milling machine Lathe 9 3 5 5 4 Grinder 3
Transcribed Image Text:3.1-11.* The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act cre- ated considerable excess production capacity. Management is con- sidering devoting this excess capacity to one or more of three prod- ucts; call them products 1, 2, and 3. The available capacity on the machines that might limit output is summarized in the following table: Available Time Machine Type (Machine Hours per Week) Milling machine Lathe 500 350 Grinder 150 The number of machine hours required for each unit of the re- spective products is Productivity coefficient (in machine hours per unit) Machine Type Product 1 Product 2 Product 3 Milling machine Lathe 9 3 5 5 4 Grinder 3
The sales department indicates that the sales potential for products 1 and 2 exceeds the maximum production rate and that the sales potential for product 3 is 20 units per week. The unit profit would be $50, $20, and $25, respectively, on products 1, 2, and 3. The objective is to determine how much of each product Omega should produce to maximize profit. (a) Formulate a linear programming model for this problem. c (b) Use a computer to solve this model by the simplex method.
Transcribed Image Text:The sales department indicates that the sales potential for products 1 and 2 exceeds the maximum production rate and that the sales potential for product 3 is 20 units per week. The unit profit would be $50, $20, and $25, respectively, on products 1, 2, and 3. The objective is to determine how much of each product Omega should produce to maximize profit. (a) Formulate a linear programming model for this problem. c (b) Use a computer to solve this model by the simplex method.
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