Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturingcosts are $14 for each 4-cylinder connecting rod and $17 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been setup, the weekly production capacities are 5,000 6-cylinder connecting rods and 9,000 4-cylinder connecting rods. LetX4 = the number of 4-cylinder connecting rods produced next weekX6 = the number of 6-cylinder connecting rods produced next weekS4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwiseS6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise(a) Using the decision variables x4 and 54, write a constraint that limits next week's production of the 4-cylinder connecting rods to either 0 or 9,000 units.(b) Using the decision variables x6 and 56, write a constraint that limits next week's production of the 6-cylinder connecting rods to either 0 or 5,000 units.(c) Write a third constraint that, taken with the constraints from parts (a) and (b), limits the production of connecting rods for next week.(d) Write an objective function for minimizing the cost of production for next week.Min

Linear programming is a mathematical technique that is also used in operations management…

Answered: (a) Using the decision variables x4 and…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question 30, Question 31, Question 32, Question 33, Question 34, Question 35, Question 46, Question 47, Question 48, Question 49, Question 50

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