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QUANTITATIVE ANALYSIS, Operation Research

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Ask queA 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 Available time
(in machine hours per week)
Milling
machine
250
Lathe 150
Grinder 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 Product 3
Milling 8 2 3
Lathe 4 3 0
Grinder 2 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.

stion #Minimum 100 words accepted#

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