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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
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. Linear programming is to
be used to develop a production schedule. Define the variables as follows:
T= number of tables produced each week
C= number of chairs produced each week
O
Suppose it is decided that the numbr of hours used in the assembly process must be at least 80 percent of the
time available. How would this constraint be written?
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