A company makes two types of electronic devices: laptops and tablets. Its business plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. Given that x is the number of laptops made per day, and y is the number of tablets made, what are the daily constraints that the plan places on the company? 2. The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit? 3. Insert an image of a graph showing the feasible region. 4. What are the vertices of the feasible region? 5. Evaluate the objective function at the vertices of each of the feasible regions. 6. How many laptops and how many tab
A company makes two types of electronic devices: laptops and tablets. Its business plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. Given that x is the number of laptops made per day, and y is the number of tablets made, what are the daily constraints that the plan places on the company? 2. The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit? 3. Insert an image of a graph showing the feasible region. 4. What are the vertices of the feasible region? 5. Evaluate the objective function at the vertices of each of the feasible regions. 6. How many laptops and how many tab
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
Related questions
Question
1. A company makes two types of electronic devices: laptops and tablets. Its business plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. Given that x is the number of laptops made per day, and y is the number of tablets made, what are the daily constraints that the plan places on the company?
2. The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit?
3. Insert an image of a graph showing the feasible region.
4. What are the vertices of the feasible region?
5. Evaluate the objective function at the vertices of each of the feasible regions.
6. How many laptops and how many tablets should the company make to maximize profit?
7. What is the maximum profit?
8. Suppose the company were to update its business plan so that its constraints form the feasible region shown below. How would the change in the plan affect the company’s maximum profit? Explain.
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 3 steps with 1 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning