Problem 13 *** 13. A company sells square carpets for $7 per square foot. It has a simplified manufacturing process for which all the carpets each week must be the same size, and the length must be a multiple of a half foot. It has found that it can sell 200 carpets in a week when the carpets are 2 ft by 2 ft, which is the minimum size. Beyond this, for each additional foot of length and width, the number sold goes down by 3. а. Write the equation for the revenue, R, the company will earn as a function of the length, x, of the carpet squares sold. b. What size carpets should the company sell to maximize its weekly revenue? What is the maximum weekly revenue? С.
Problem 13 *** 13. A company sells square carpets for $7 per square foot. It has a simplified manufacturing process for which all the carpets each week must be the same size, and the length must be a multiple of a half foot. It has found that it can sell 200 carpets in a week when the carpets are 2 ft by 2 ft, which is the minimum size. Beyond this, for each additional foot of length and width, the number sold goes down by 3. а. Write the equation for the revenue, R, the company will earn as a function of the length, x, of the carpet squares sold. b. What size carpets should the company sell to maximize its weekly revenue? What is the maximum weekly revenue? С.
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 40CR
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please explain each step clearly/why you did it this way. Neat handwriting and boxed answers please. Thank you
![Problem 13 ***
13. A company sells square carpets for $7 per square foot. It has a simplified manufacturing process for which all the
carpets each week must be the same size, and the length must be a multiple of a half foot. It has found that it
can sell 200 carpets in a week when the carpets are 2 ft by 2 ft, which is the minimum size. Beyond this, for each
additional foot of length and width, the number sold goes down by 3.
a. Write the equation for the revenue, R, the company will earn as a function of the length, x, of the carpet
squares sold.
b. What size carpets should the company sell to maximize its weekly revenue?
What is the maximum weekly revenue?
c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbd4c536-fd77-44ec-87cf-c21a0ef81613%2Fe44b24bf-8eb4-43af-a006-f9b5e991e555%2Fneapbuc_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 13 ***
13. A company sells square carpets for $7 per square foot. It has a simplified manufacturing process for which all the
carpets each week must be the same size, and the length must be a multiple of a half foot. It has found that it
can sell 200 carpets in a week when the carpets are 2 ft by 2 ft, which is the minimum size. Beyond this, for each
additional foot of length and width, the number sold goes down by 3.
a. Write the equation for the revenue, R, the company will earn as a function of the length, x, of the carpet
squares sold.
b. What size carpets should the company sell to maximize its weekly revenue?
What is the maximum weekly revenue?
c.
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