Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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 $2,600, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,400. Manufacturing costs are $15 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 set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 9,000 4-cylinder connecting rods. Let X4 the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week S41 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise S = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x, and sa, 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 x 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

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 $2,600, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,400. Manufacturing costs are $15 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 set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 9,000 4-cylinder connecting rods. Let X4 the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week S41 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise S = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x, and sa, 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 x 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 Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
See similar textbooks
icon
Related questions
Question
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 $2,600, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,400. Manufacturing costs are $15 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 set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 9,000 4-cylinder connecting rods. Let X4 = the number of 4-cylinder connecting rods produced next week X6 = the number of 6-cylinder connecting rods produced next week $4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise 56 = 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
Transcribed Image Text: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 $2,600, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,400. Manufacturing costs are $15 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 set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 9,000 4-cylinder connecting rods. Let X4 = the number of 4-cylinder connecting rods produced next week X6 = the number of 6-cylinder connecting rods produced next week $4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise 56 = 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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS