MSIS 212
HOMEWORK PROBLEMS FOR CHAPTER 7
SESSION 8:
A furniture manufacturer produces two types of tables – country and contemporary – using three types of machines. The time required to produce the tables on each machine is given in the following table:
Machine |
Country |
Contemporary |
Total Machine Time Available Per Week |
Router |
3.5 |
4.0 |
1,000 |
Sander |
4.5 |
6.5 |
2,000 |
Polisher |
3.0 |
2.0 |
1,500 |
Country tables sell for $395 and contemporary tables sell for $515. Management has determined that at least 25% of the tables made should be country and at least 38% should be contemporary. How many of each type of table should the company manufacture if it wants to maximize its revenue?
1. Formulate an LP model for this problem
2. Create the spreadsheet model and use Solver to solve the problem.