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…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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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