Aame Hartford Public Schools
Daure 91813.12
Algebra II Unit 1. Investigation 1. Lesson 5
Concept Development 1
Meera's Jobs
Solve the following problem using the linear programming procedure.
Meera is a high school student
who is going to work two jobs this summer. She will work as a
painter for one job and will mow lawns for the second job. She will work a totaLof at most 24 hours
a week at both jobs. For her first job, painting, she has found
that she needs 1.5 hours of preparation
time for every hour he works. For her second job, mowing lawns, she needs 0.5 hours of preparation
time for every hour she works. She is not paid for preparation time so she does not count this time in
her hours of work. She wants her total preparation time to be at most 18 hours per week. If Meera
makes 12 dollars an hour painting and 9 dollars an hour mowing lawns, what is the best combination
of hours of painting and mowing (she wants to make the most money) for her to schedule each week?
1. Identify the variables for this problem.