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Suppose it is decided that the number of hours used in the assembly process must be at least 80% of the time available. How would this constraint be written? (A 37+ 2C< 200 B 37+ 2C2 160 3T+ 202 200 3T + 20 < 160

Suppose it is decided that the number of hours used in the assembly process must be at least 80% of the time available. How would this constraint be written? (A 37+ 2C< 200 B 37+ 2C2 160 3T+ 202 200 3T + 20 < 160

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process - assembly, finishing, and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. To develop a production schedule, two decision variables are defined as follows T= number of tables to be produced each week C= number of chairs to be produced each week Suppose it is decided that the number of hours used in the assembly process must be at least 80% of the time available. How would this constraint be written? A 37 + 2Cs 200 (в) зт + 2C2 160 37 + 202 200 37 + 2C< 160 E 3T+2C2 80
Transcribed Image Text:A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process - assembly, finishing, and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. To develop a production schedule, two decision variables are defined as follows T= number of tables to be produced each week C= number of chairs to be produced each week Suppose it is decided that the number of hours used in the assembly process must be at least 80% of the time available. How would this constraint be written? A 37 + 2Cs 200 (в) зт + 2C2 160 37 + 202 200 37 + 2C< 160 E 3T+2C2 80
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