Set up the initial simplex tableau for each of the given problems. You will be asked to solve these problems in Exercises 19-22.
Window Manufacturing A window manufacturing company can make 3 windows in small, medium, and large. Each window is worked on by three technicians: Todd, Donna, and Jackson. Todd can work up to 25 hours per week, Donna can work up to 45 hours a week, and Jackson can work 40 hours a week. Todd works 2 hours on the small windows, 1 hour on the medium windows, and 1 hour on the large windows. Donna works 2 hours on the small windows, 3 hours on the medium windows, and 2 hours on the large windows. Jackson works 1 hour on the small windows, 2 hours on the medium windows, and 4 hours on the large windows. The manager is worried about getting overextended, so no more than 4 large windows can be done in a week. The small windows sell for $180, the medium windows for $200, and the large windows for $220. Find the number of each size of windows that should be made weekly in order to maximize profit. Find the maximum possible profit.
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education