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,which of the following would be a necessary constraint in the problem?

A) T + C ≥ 40
B) 3T + 2C ≤ 200
C) 2T + 2C ≤ 40
D) 120T + 80C ≥ 1000
E) None of the above