Table 8-4 A Small Furniture Manufacturer Produces Tables and Chairs.Each Product Must

Table 8-4
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 4 hours of assembly,3 hours of finishing,and 1 hour of inspection.Each chair requires 3 hours of assembly,2 hours of finishing,and 2 hours of inspection.The selling price per table is $140 while the selling price per chair is $90.Currently,each week there are 220 hours of assembly time available,160 hours of finishing time,and 45 hours of inspection time.Assume that one hour of assembly time costs $5.00;one hour of finishing time costs $6.00;one hour of inspection time costs $4.50;and that whatever labor hours are not required for the table and chairs can be applied to another product.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
-Suppose that the problem described in Table 8-4 is modified to specify that one-third of the tables produced must have 6 chairs,one-third must have 4 chairs,and one-third must have 2 chairs.How would this constraint be written?

A) C = 4T
B) C = 2T
C) C = 3T
D) C = 6T
E) None of the above