- A small furniture manufacture producer tables andchairs. Each product must go through three stages of themanufacturing process:
Each table requires 4 hours ofassembly, 3 hours of finishing and 1 hour of inspection
Each chair requires 3 hours ofassembly, 2hours of finishing and 2 hours of inspection
The selling price per table is $140while the selling price per chair is $90
Currently, each week there are 220hours of assembly time available, 160 hours of finishing time, and45 hours of inspection time.
Assume that one hour of assembly timecosts $.00; one hour of finishing time costs $6.00; one hour ofinspection time costs $4.50.
Linear programming is to be used todevelop a production schedule.
Let: T=number of tabletsproduced each week
C=numberof chairs produced each week
Which of the following expressionwould be the objective function of this LP problem?
- Max 140T+90C
- Max 97.5T+54C
- Max T+C
- Min 42.5T+36C