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A company manufactures three models of a certain product

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Reference no: EM13589440

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.

Reference no: EM13589440

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