Q1. A manufacturing firm has discontinued production of a certain unprofitable product line. This created considerable excess production capacity. Management is considering to devote this excess capacity to one or more of three product 1,2 and 3. The available capacity on the machines which might limit output are given below: Machine type Milling machine Lathe Grinder Available time (in machine hours per week) 250 Milling Lathe Grinder 150 50 The number of machine hours required for each units of the respective product is given below; Machine type Productivity (in machine hours/unit) Product 1 Product 2 8 4 2 2 3 0 Product 3 3 0 1 The unit profit would be 20 birr, 6 birr and 8 birr for products 1,2 and 3. Find how much of each product the firm should produce in order to maximise profit ? Solve the problem by simplex method.

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Q1. A manufacturing firm has discontinued production of a certain unprofitable product
line. This created considerable excess production capacity. Management is considering to
devote this excess capacity to one or more of three product 1,2 and 3. The available capacity
on the machines which might limit output are given below:
Machine type
Milling
machine
Lathe
Grinder
Available time
(in machine hours per week)
250
Milling
Lathe
Grinder
150
50
The number of machine hours required for each units of the respective product is given
below;
Machine type
Productivity (in machine hours/unit)
Product 1
Product 2
8
4
2
2
3
0
Product 3
3
0
1
The unit profit would be 20 birr, 6 birr and 8 birr for products 1,2 and 3. Find how much of
each product the firm should produce in order to maximise profit ? Solve the problem by
simplex method.
Transcribed Image Text:Q1. A manufacturing firm has discontinued production of a certain unprofitable product line. This created considerable excess production capacity. Management is considering to devote this excess capacity to one or more of three product 1,2 and 3. The available capacity on the machines which might limit output are given below: Machine type Milling machine Lathe Grinder Available time (in machine hours per week) 250 Milling Lathe Grinder 150 50 The number of machine hours required for each units of the respective product is given below; Machine type Productivity (in machine hours/unit) Product 1 Product 2 8 4 2 2 3 0 Product 3 3 0 1 The unit profit would be 20 birr, 6 birr and 8 birr for products 1,2 and 3. Find how much of each product the firm should produce in order to maximise profit ? Solve the problem by simplex method.
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