Yankee is the Plant Manager of Reebok International limited and he wants to determine the product mix that will result in maximum profit. He is able to determine the data necexsary for him to make a decision. It will take 10 minutes to cut 1 unit of Classic and 16 minutes to cut 1 unit of Freestyle and he has a total of 160 minutes available for the cutting process per day. It will take 14 minutes to sew 1 unit of Classic and 8 minutes to sew 1 unit of Freestyle and he has a total of 112 minutes available for the sewing process per day. It will take 20 minutes to adhere 1 unit of Classic and 22 minutes to adhere 1 unit of Freestyle and he has to use up at least 440 minutes of subcontracted adhesion process per day. He will earn P350 for every unit of Classic produced and P380 for every unit of Freestyle produced. Let x be the number of Classic rubber shoes and let y be the number of Freestyle rubber shoes.
Yankee is the Plant Manager of Reebok International limited and he wants to determine the product mix that will result in maximum profit. He is able to determine the data necexsary for him to make a decision. It will take 10 minutes to cut 1 unit of Classic and 16 minutes to cut 1 unit of Freestyle and he has a total of 160 minutes available for the cutting process per day. It will take 14 minutes to sew 1 unit of Classic and 8 minutes to sew 1 unit of Freestyle and he has a total of 112 minutes available for the sewing process per day. It will take 20 minutes to adhere 1 unit of Classic and 22 minutes to adhere 1 unit of Freestyle and he has to use up at least 440 minutes of subcontracted adhesion process per day. He will earn P350 for every unit of Classic produced and P380 for every unit of Freestyle produced. Let x be the number of Classic rubber shoes and let y be the number of Freestyle rubber shoes.
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 17E
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Problem: Yankee is the Plant Manager of Reebok International limited and he wants to determine the product mix that will result in maximum profit. He is able to determine the data necexsary for him to make a decision. It will take 10 minutes to cut 1 unit of Classic and 16 minutes to cut 1 unit of Freestyle and he has a total of 160 minutes available for the cutting process per day. It will take 14 minutes to sew 1 unit of Classic and 8 minutes to sew 1 unit of Freestyle and he has a total of 112 minutes available for the sewing process per day. It will take 20 minutes to adhere 1 unit of Classic and 22 minutes to adhere 1 unit of Freestyle and he has to use up at least 440 minutes of subcontracted adhesion process per day. He will earn P350 for every unit of Classic produced and P380 for every unit of Freestyle produced. Let x be the number of Classic rubber shoes and let y be the number of Freestyle rubber shoes.
(Sample Format of Answer - image below)
Transcribed Image Text:Decision Variables: let x be the number of tables
y be the number of chairs
Objective Function: Maximize Profit = 180x + 100y
Constraints:
Assembly
Finishing
Tables
4
2
Chairs
4
Available
60
48
Explicit Constraints: Assembly: 4x + 2y < 60
Finishing: 2x + 4y < 48
Implicit Constraints: x,y 20
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