1. 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.
2. A company produces three electrical products-clocks, radios, and toasters. These products have the following resource requirements.
|
|
Resource requirements
|
|
|
Cost/unit (€)
|
Labour hours/unit
|
|
Clock
|
20
|
2
|
|
Radio
|
25
|
3
|
|
Toaster
|
15
|
2
|
The company has a daily production budget of €6000, and a maximum of 660 hours of labour. Maximum daily customer demand is for 200 clocks, 200 radios, and 150 toasters. Clocks sell for €45, radios for €60, and toasters for €35. The company wishes to know the optimal product mix that will maximise profit. Formulate the problem as a LP problem.