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Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $2, and the profit for each model B grate is $1.50. There is no more than 100 pounds of cast iron available and at least 20 hours of labor must be made available for grate production each day. Because of backlog orders for model B grates, Kane's manager has decided to produce at least 180 model B grates per day. If A denotes the number of model A grates produced each day and B denotes the number of model B grates produced each day, which of the following will help the company maximize, P, Kane Manufacturing's profits ? O Maximize P 2A+ 1.5B subject to 3A + 4B s 100 6A+ 3B 2 1200 A20, B 2 180 O Maximize P 2A+ 1.5B

Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $2, and the profit for each model B grate is $1.50. There is no more than 100 pounds of cast iron available and at least 20 hours of labor must be made available for grate production each day. Because of backlog orders for model B grates, Kane's manager has decided to produce at least 180 model B grates per day. If A denotes the number of model A grates produced each day and B denotes the number of model B grates produced each day, which of the following will help the company maximize, P, Kane Manufacturing's profits ? O Maximize P 2A+ 1.5B subject to 3A + 4B s 100 6A+ 3B 2 1200 A20, B 2 180 O Maximize P 2A+ 1.5B

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 51P
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O Maximize P= 2A + 1.5B subject to 3A+4B s 100 6A+ 3B z 1200 A>0, B > 180 O Maximize P 2A+ 1.5B subject to 3A + 4B 2 100 6A + 3B s 20 A 0, B > 180 O Maximize P= 2A+ 1.5B subject to 3A+ 4B 100 6A+ 3B > 1200 A 0, B 0 ONone of the above
Transcribed Image Text:O Maximize P= 2A + 1.5B subject to 3A+4B s 100 6A+ 3B z 1200 A>0, B > 180 O Maximize P 2A+ 1.5B subject to 3A + 4B 2 100 6A + 3B s 20 A 0, B > 180 O Maximize P= 2A+ 1.5B subject to 3A+ 4B 100 6A+ 3B > 1200 A 0, B 0 ONone of the above
Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $2, and the profit for each model B grate is $1.50. There is no more than 100 pounds of cast iron available and at least 20 hours of labor must be made available for grate production each day. Because of backlog orders for model B grates, Kane's manager has decided to produce at least 180 model B grates per day. If A denotes the number of model A grates produced each day and B denotes the number of model B grates produced each day, which of the following will help the company maximize, P, Kane Manufacturing's profits ? Maximize P 2A+ 1.5B subject to 3A + 4B s 100 6A+3B 2 1200 A 0, B 2 180 O Maximize P 2A+1.5B
Transcribed Image Text:Kane Manufacturing has a division that produces two models of grates, model A and model B. To produce each model A grate requires 3 pounds of cast iron and 6 minutes of labor. To produce each model B grate requires 4 pounds of cast iron and 3 minutes of labor. The profit for each model A grate is $2, and the profit for each model B grate is $1.50. There is no more than 100 pounds of cast iron available and at least 20 hours of labor must be made available for grate production each day. Because of backlog orders for model B grates, Kane's manager has decided to produce at least 180 model B grates per day. If A denotes the number of model A grates produced each day and B denotes the number of model B grates produced each day, which of the following will help the company maximize, P, Kane Manufacturing's profits ? Maximize P 2A+ 1.5B subject to 3A + 4B s 100 6A+3B 2 1200 A 0, B 2 180 O Maximize P 2A+1.5B
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