Keren must work at least 18 hours a week to supplement her income while attending school. She has the opportunity to work in two retail stores. In store 1, she can worl between 5 and 13 hours a week, and in store 2, she is allowed between 6 and 11 hours. Both stores pay the same hourly wage. In deciding how many hours to work in each store, Kere wants to base her decision on work stress. Based on interviews with present employees, Kere estimates that, on an ascending scale of 1 to 10, the stress factors are 8 and 6 at stores 1 and 2, respectively. Because stress mounts by the hour, she assumes that the total stress for each store at the end of the week is proportional to the number of hours she works in the store How many hours should Keren work in each store? a. Define the variables used and formulate the linear programming model for this problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
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Keren must work at least 18 hours a week to supplement her income while
attending school. She has the opportunity to work in two retail stores. In store 1, she can work
between 5 and 13 hours a week, and in store 2, she is allowed between 6 and 11 hours. Both
stores pay the same hourly wage. In deciding how many hours to work in each store, Keren
wants to base her decision on work stress. Based on interviews with present employees, Keren
estimates that, on an ascending scale of 1 to 10, the stress factors are 8 and 6 at stores 1 and
2, respectively. Because stress mounts by the hour, she assumes that the total stress for each
store at the end of the week is proportional to the number of hours she works in the store.
How many hours should Keren work in each store?
a. Define the variables used and formulate the linear programming model for this
problem.
b. Graph the constraints and identify the feasible region.
SAPL
IVO,
Transcribed Image Text:Keren must work at least 18 hours a week to supplement her income while attending school. She has the opportunity to work in two retail stores. In store 1, she can work between 5 and 13 hours a week, and in store 2, she is allowed between 6 and 11 hours. Both stores pay the same hourly wage. In deciding how many hours to work in each store, Keren wants to base her decision on work stress. Based on interviews with present employees, Keren estimates that, on an ascending scale of 1 to 10, the stress factors are 8 and 6 at stores 1 and 2, respectively. Because stress mounts by the hour, she assumes that the total stress for each store at the end of the week is proportional to the number of hours she works in the store. How many hours should Keren work in each store? a. Define the variables used and formulate the linear programming model for this problem. b. Graph the constraints and identify the feasible region. SAPL IVO,
c. Find the optimal solution and interpret the results.
Corner Points
Objective Function
JJ A F
Transcribed Image Text:c. Find the optimal solution and interpret the results. Corner Points Objective Function JJ A F
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