the hickory and furniture company produce sofas, tables, and chairs. The company uses three main resources to make furniture - wood, upholstery, and labor. The resource requirements for each piece of piece of furniture and total resources available weekly are as follows:
| Resource Requirments |
|
| |
Wood (lb.) |
Upholstery (yd.) |
Labor (hr.) |
| Sofa |
7 |
12 |
6 |
| Table |
5 |
-- |
9 |
| Chair |
4 |
7 |
5 |
| Total Available Resources |
2,250 |
1,000 |
240 |
The furniture is produced on a weekly basis and stored in a warehouse until the end of the week when it is shipped out. The warehouse has a total capacity of 650 pieces of furniture. Each sofa earns $400 in profit, each table, $275, and each chair $190. The company wants to know how many pieces of each type of furniture to make per week to maximize profit.
a) Formulate a linear programming model for this problem.
b) Solve the model by using the computer.