pronit 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 there must be four chairs produced for every table. How would this constraint be written? A) T= 4C B T+C = 4

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.4: Aggregate Planning Models
Problem 18P
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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 there must be four chairs produced for every table. How would this constraint be written?
T= 4C
B) T+C = 4
TSC
E
4T = C
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 there must be four chairs produced for every table. How would this constraint be written? T= 4C B) T+C = 4 TSC E 4T = C
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