Table 8-1 A Small Furniture Manufacturer Produces Tables and Chairs.Each Product Must

Multiple Choice

Table 8-1
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
-According to Table 8-1,which describes a production problem,suppose it is decided that the number of hours used in the assembly process must be at least 90 percent of the number of hours used in the finishing department.How would this constraint be written?

A) 3T + 2C ≥ 162
B) 3T + 2C ≥ 0.9(2T + 2C)
C) 3T + 2C ≤ 162
D) 3T + 2C ≤ 0.9(2T + 2C)
E) None of the above