XYZ Steel Company manufactures two kinds of wrought-iron rails: Model E, the elegant, and Model D, the distinctive. Model E rails sell for $99 and cost $90 to make, whereas Model D rails sell for $88 and cost $81 to make. To make one Model E rail requires two hours on Machine A, one hour on Machine B, and four hours on Machine C. To make one Model D rail requires one hour on A, two hours on B, and five hours on C. Pro- duction scheduling indicates that during the coming week Machine A will be avail- able for at most 30 hours, Machine B for at most 24 hours, and Machine C for at most 72 hours. Find the number of each kind of rail to be made in the coming week in order for the company to maximize its profit. What is this maximum profit? At the maximum, which machines, if any, are not fully utilized?
XYZ Steel Company manufactures two kinds of wrought-iron rails: Model E, the elegant, and Model D, the distinctive. Model E rails sell for $99 and cost $90 to make, whereas Model D rails sell for $88 and cost $81 to make. To make one Model E rail requires two hours on Machine A, one hour on Machine B, and four hours on Machine C. To make one Model D rail requires one hour on A, two hours on B, and five hours on C. Pro- duction scheduling indicates that during the coming week Machine A will be avail- able for at most 30 hours, Machine B for at most 24 hours, and Machine C for at most 72 hours. Find the number of each kind of rail to be made in the coming week in order for the company to maximize its profit. What is this maximum profit? At the maximum, which machines, if any, are not fully utilized?
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...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.