Suppose it is decided that the number of hours used in the assembly process must be at least 90% of the number of hours used in the finishing department. How would this constraint be written? A 37 + 2C s 0.9(27 + 2C) B) 37+ 2C< 162 c) 37 + 20 2 0.9(2T + 2C) 3T+ 2C> 16?

Practical Management Science
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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 $80. Currently, each week there are 200 hours of assembly time available, 180
hours of finishing time, and 40 hours of inspection time. To develop a production schedule, two decision variables are
defined as follows
T= number of tables to be produced each week
C= number of chairs to be produced each week
Suppose it is decided that the number of hours used in the assembly process must be at least 90% of the number of hours
used in the finishing department. How would this constraint be written?
A) 31+ 2C< 0.9(2T + 2C)
в) зт+ 2C$ 162
37 + 2C2 0.9(27 + 2C)
37 + 202 162
E 37 + 202 90
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 $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. To develop a production schedule, two decision variables are defined as follows T= number of tables to be produced each week C= number of chairs to be produced each week Suppose it is decided that the number of hours used in the assembly process must be at least 90% of the number of hours used in the finishing department. How would this constraint be written? A) 31+ 2C< 0.9(2T + 2C) в) зт+ 2C$ 162 37 + 2C2 0.9(27 + 2C) 37 + 202 162 E 37 + 202 90
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