A manufacturer of lawn and garden equipment makes two basic types of lawn mowers: a push-type and a self-propelled type. The push-type requires 9 minutes to assemble and 2 minutes to package; the self-propelled mower requires 12 minutes to assemble and 6 minutes to package. Each type has an engine. The company has 12 hours assembly time available, 75 engines, and 5 hours of packaging time. Profits are $70 for the self-propelled model and $45 for the push-type mower per unit. Formulate the linear programming model. What is the number of units to be manufactured for each type and the maximum profit that can be generated?
A manufacturer of lawn and garden equipment makes two basic types of lawn mowers: a push-type and a self-propelled type. The push-type requires 9 minutes to assemble and 2 minutes to package; the self-propelled mower requires 12 minutes to assemble and 6 minutes to package. Each type has an engine. The company has 12 hours assembly time available, 75 engines, and 5 hours of packaging time. Profits are $70 for the self-propelled model and $45 for the push-type mower per unit. Formulate the linear programming model. What is the number of units to be manufactured for each type and the maximum profit that can be generated?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 71P
Related questions
Question
A manufacturer of lawn and garden equipment makes two basic types of lawn mowers: a push-type and a self-propelled type. The push-type requires 9 minutes to assemble and 2 minutes to package; the self-propelled mower requires 12 minutes to assemble and 6 minutes to package. Each type has an engine. The company has 12 hours assembly time available, 75 engines, and 5 hours of packaging time. Profits are $70 for the self-propelled model and $45 for the push-type mower per unit.
- Formulate the linear programming model.
- What is the number of units to be manufactured for each type and the maximum profit that can be generated?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,