A firm manufactures two types of shafts A and B. For any month it must produce 250 shafts A and 100 shafts B. The maximum total requirement of shafts A and B is 1,250 and minimum total requirement is 500. Both shafts are to be processed on machines M1 and M2. Total number of machines M1 and M2 available are 15 each. Processing times in hours for each shaft on machines M1 and M2 are as follows: ABM11.52M211.5Profit/unit (K)400600If the firm has 25 working days a month, each of 8 hours,Formulate the linear programming model for the problem.Solve the problem by graphical method.

Name: A firm manufactures two types of shafts A and B. For any month it must
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Description: A firm manufactures two types of shafts A and B. For any month it must produce 250 shafts A and 100 shafts B. The maximum total requirement of shafts A and B is 1,250 and minimum total requirement is 500. Both shafts are to be processed on machines M

Note:Total working hour for each type of machine M1 and M2 is =15×25×8=3000 hour per monthLet x and…

Answered: A firm manufactures two types of shafts…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...

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A firm manufactures two types of shafts A and B. For any month it must produce 250 shafts A and 100 shafts B. The maximum total requirement of shafts A and B is 1,250 and minimum total requirement is 500. Both shafts are to be processed on machines M1 and M2. Total number of machines M1 and M2 available are 15 each. Processing times in hours for each shaft on machines M1 and M2 are as follows:

	A	B
M₁	1.5	2
M₂	1	1.5
Profit/unit (K)	400	600

If the firm has 25 working days a month, each of 8 hours,

Formulate the linear programming model for the problem.
Solve the problem by graphical method.

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