A company manufactures three models of a certain product. Each model has to go through three different operations: moulding, assembly, and finishing. The table below gives all the relevant information.
|
Model
|
Moulding (hrs/unit)
|
Assembly (hrs/unit)
|
Finishing
(hrs/unit)
|
Profit (€/unit)
|
|
1
|
3
|
6
|
10
|
160
|
|
2
|
2
|
3
|
8
|
120
|
|
3
|
4
|
6
|
12
|
240
|
|
Capacity/wk
|
48 hr
|
72 hr
|
160 hr
|
|
Formulate the problem of finding the product-mix which will maximise weekly profit as a LP problem.