Mary is planning to do two part-time jobs, one in the retail store ABC and the other in the restaurant LMNO, to earn tuition. She decides to earn at least $120 per week. In ABC, she can work 5 to 12 hours a week, and in LMNO, she can work 4 to 10 hours a week. The hourly wages of ABC and LMNO are $6 per hour and $8 per hour, respectively. When deciding how long to work in each place, Mary hopes to make a decision based on work stress. According to reviews on the Internet, Mary estimates that the stress levels of ABC and LMNO are 1 and 2 for each hour of working, respectively (stress levels are between 1 and 5; a large value means a high work stress which may cause work and life imbalance). Since stress accumulates over time, she assumes that the total stress of working in any place is proportional to the number of houre che works in that place

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question

Please do not give solution in image format thanku 

(a)
Mary is planning to do two part-time jobs, one in the retail store ABC and the other in
the restaurant LMNO, to earn tuition. She decides to earn at least $120 per week. In
ABC, she can work 5 to 12 hours a week, and in LMNO, she can work 4 to 10 hours a
week. The hourly wages of ABC and LMNO are $6 per hour and $8 per hour,
respectively. When deciding how long to work in each place, Mary hopes to make a
decision based on work stress. According to reviews on the Internet, Mary estimates
that the stress levels of ABC and LMNO are 1 and 2 for each hour of working,
respectively (stress levels are between 1 and 5; a large value means a high work stress
which may cause work and life imbalance). Since stress accumulates over time, she
assumes that the total stress of working in any place is proportional to the number of
hours she works in that place.
How many hours should Mary work in each place per week? State verbally the
objective, constraints and decision variables. Then formulate the problem as an LP
model. After that, solve it using the graphical solution procedure. Please limit the
answer to within two pages.
740
Transcribed Image Text:(a) Mary is planning to do two part-time jobs, one in the retail store ABC and the other in the restaurant LMNO, to earn tuition. She decides to earn at least $120 per week. In ABC, she can work 5 to 12 hours a week, and in LMNO, she can work 4 to 10 hours a week. The hourly wages of ABC and LMNO are $6 per hour and $8 per hour, respectively. When deciding how long to work in each place, Mary hopes to make a decision based on work stress. According to reviews on the Internet, Mary estimates that the stress levels of ABC and LMNO are 1 and 2 for each hour of working, respectively (stress levels are between 1 and 5; a large value means a high work stress which may cause work and life imbalance). Since stress accumulates over time, she assumes that the total stress of working in any place is proportional to the number of hours she works in that place. How many hours should Mary work in each place per week? State verbally the objective, constraints and decision variables. Then formulate the problem as an LP model. After that, solve it using the graphical solution procedure. Please limit the answer to within two pages. 740
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.