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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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)
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
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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