a. If she charges customers $30 per lawn, how many lawns would she need to mow to breakeven? b. Kathleen has 8 weeks available to mow lawns before school starts again, and she estimates that she can get enough customers to mow at least three lawns per day, 6 days per week. How much money can she expect to make over the summer? c. Kathleen believes she can get more business if she lowers her price per lawn. If she lowers her price to $25 per lawn and increases her number of jobs to four per day (which is about all she can handle anyway), should she make this decision?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Kathleen Taylor is a high school student who has been investigating the
possibility of mowing lawns for a summer job. She has a couple of friends
she thinks she could hire on an hourly basis per job. The equipment,
including two new lawnmowers and weedeaters, would cost her $500, and
she estimates her cost per lawn, based on the time required to pay her
friends to mow an average residential lawn (and not including her own labor)
and gas for driving to the jobs and mowing, would be about $14.
a. If she charges customers $30 per lawn, how many lawns would she
need to mow to breakeven?
b. Kathleen has 8 weeks available to mow lawns before school starts
again, and she estimates that she can get enough customers to mow
at least three lawns per day, 6 days per week. How much money can
she expect to make over the summer?
c. Kathleen believes she can get more business if she lowers her price
per lawn. If she lowers her price to $25 per lawn and increases her
number of jobs to four per day (which is about all she can handle
anyway), should she make this decision?
Transcribed Image Text:Kathleen Taylor is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a couple of friends she thinks she could hire on an hourly basis per job. The equipment, including two new lawnmowers and weedeaters, would cost her $500, and she estimates her cost per lawn, based on the time required to pay her friends to mow an average residential lawn (and not including her own labor) and gas for driving to the jobs and mowing, would be about $14. a. If she charges customers $30 per lawn, how many lawns would she need to mow to breakeven? b. Kathleen has 8 weeks available to mow lawns before school starts again, and she estimates that she can get enough customers to mow at least three lawns per day, 6 days per week. How much money can she expect to make over the summer? c. Kathleen believes she can get more business if she lowers her price per lawn. If she lowers her price to $25 per lawn and increases her number of jobs to four per day (which is about all she can handle anyway), should she make this decision?
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