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 weed-eaters, 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 break even? 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters 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 weed-eaters, 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 break even?

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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