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? 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? Insert an image of a graph showing the feasible region.
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? 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? Insert an image of a graph showing the feasible region.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text: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?
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?
Insert an image of a graph showing the feasible region.
Transcribed Image Text:What are the vertices of the feasible region?
Evaluate the objective function at the vertices of the feasible region.
How many laptops and how many tablets should the company make to maximize
profit?
What is the maximum profit?
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This is a linear programing problem. We will solve this by graphical method.
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