A toy company makes three types of toys, each of which must be processed by three machines: a shaper, a smoother, and a painter. Each Toy A requires 1hr in the shaper, 2hr in the smoother, and 1hr in the painter, and brings in a $4 profit. Each Toy B requires 2hr in the shaper, 1hr in the smoother, and 3hr in the painter, and brings in a $5 profit. Each Toy C requires 3hr in the shaper, 2hr in the smoother, and 1hr in the painter, and brings in a $9 profit. The shaper can work at most 50hr per week, the smoother 40hr, and the painter 60hr. What production policy would maximize the toy company’s profit?
A toy company makes three types of toys, each of which must be processed by three machines: a shaper, a smoother, and a painter. Each Toy A requires 1hr in the shaper, 2hr in the smoother, and 1hr in the painter, and brings in a $4 profit. Each Toy B requires 2hr in the shaper, 1hr in the smoother, and 3hr in the painter, and brings in a $5 profit. Each Toy C requires 3hr in the shaper, 2hr in the smoother, and 1hr in the painter, and brings in a $9 profit. The shaper can work at most 50hr per week, the smoother 40hr, and the painter 60hr. What production policy would maximize the toy company’s profit?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
Related questions
Topic Video
Question
A toy company makes three types of toys, each of which must be processed by three machines: a shaper, a smoother, and a painter. Each Toy A requires 1hr in
the shaper, 2hr in the smoother, and 1hr in the painter, and brings in a $4 profit. Each Toy B requires 2hr in the shaper, 1hr in the smoother, and 3hr in the painter, and brings in a $5 profit. Each Toy C requires 3hr in the shaper, 2hr in the smoother, and 1hr in the painter, and brings in a $9 profit. The shaper can work at most 50hr per week, the smoother 40hr, and the painter 60hr. What production policy would maximize the toy company’s profit?
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 8 steps with 17 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning