Question: A furniture cabinet maker produces two types of cabinets, Mission and Rustic, that house and hide LCD TVs. The resource requirements and profit for the two types of cabinets are shown below.
| Model |
Materials ($/unit) |
Labor (hrs./unit) |
Profit ($/unit) |
| Mission |
900 |
12 |
300 |
| Rustic |
700 |
6 |
200 |
The firm has a budget of $180,000 to spend on materials. The firm has 1,800 labor hours are available for use. What is the best combination of furniture cabinets to be made? Solve this two decision variable problem using the LP Graphing utility.
a) What is the profit (value of the objective function) for the optimal solution?
b) How many Mission models should be produced?
c) How many Rustic models should be produced?
d) Is the production of 100 Mission models and 150 Rustic models feasible (not asking if it is optimal). Does it fall in the feasible region?
e) Is the production of 50 Mission models and 150 Rustic models feasible (not asking if it is optimal). Does it fall in the feasible region?