The Weinberg Electronics Corporation manufactures four highly technical products that its supplies to aerospace firms that hold NASA contracts. Each of the products must pass through the following departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirement in hours for each unit produced and its corresponding profit value are summarized in the following table:
| PRODUCT |
WIRING |
DRILLING |
ASSEMBLY |
INSPECTION |
PROFIT ($) |
| XJ201 |
0.5 |
0.3 |
0.2 |
0.5 |
9 |
| XM897 |
1.5 |
1 |
4 |
1 |
12 |
| TR29 |
1.5 |
2 |
1 |
0.5 |
15 |
| BR788 |
1 |
3 |
2 |
0.5 |
11 |
The production available in each department each month, and the minimum monthly production requirement to fulfill the contracts, are as follows:
| DEPARTMENT |
CAPACITY (HOURS) |
PRODUCT |
MIN PRODUCTION LEVEL |
| Wiring |
15000 |
XJ201 |
150 |
| Drilling |
17000 |
XM897 |
100 |
| Assembly |
26000 |
TR29 |
300 |
| Inspection |
12000 |
BR788 |
400 |
The production manager has the responsibility of specifying production levels for each product for the coming month. Help him by formulating (that is, setting up the constraints and objective function) Weinberger's problem using the LP approach.