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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
8
120
4
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
Radio
25
Toaster
15
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.
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