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
-According to Table 8-4,which describes a production problem,suppose you realize that you can trade off assembly hours for finishing hours,but that the total number of finishing hours,including the trade-off hours,cannot exceed 240 hours.How would this constraint be written?

A) 7T + 5C ≤ 360
B) 3T + 2C ≤ 240
C) 4T + 3C ≤ 140
D) −T − C ≤ 80
E) None of the above