Labors Hours Required (Hours/Unit) Department Product 1 Product 2 Hours Available Overtime Available Overtime Cost A 1 0.35 100 10 18 B 0.3 0.2 36 6 22.5 C 0.2 0.5 50 8 12 Profit Contribution/Unit 30 15 X1 X2 Production Constraints Used Available Dept A Hours Dept B Hours Dept C Hours Dept A Overtime (XA) Dept B Overtime (XB) Dept C Overtime (XC) Objective: Profit Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B, and $12 in department C. What are the optimal production quantities using the avallable overtime? What is the new profit? 1) Product 1 - ? 2) Prdouct 2 -? 3) Profit - ?
Labors Hours Required (Hours/Unit) Department Product 1 Product 2 Hours Available Overtime Available Overtime Cost A 1 0.35 100 10 18 B 0.3 0.2 36 6 22.5 C 0.2 0.5 50 8 12 Profit Contribution/Unit 30 15 X1 X2 Production Constraints Used Available Dept A Hours Dept B Hours Dept C Hours Dept A Overtime (XA) Dept B Overtime (XB) Dept C Overtime (XC) Objective: Profit Suppose that 10, 6, and 8 hours of overtime may be scheduled in departments A, B, and C, respectively. The cost per hour of overtime is $18 in department A, $22.50 in department B, and $12 in department C. What are the optimal production quantities using the avallable overtime? What is the new profit? 1) Product 1 - ? 2) Prdouct 2 -? 3) Profit - ?
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...
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Question
| Labors Hours Required (Hours/Unit) | |||||||||
| Department | Product 1 | Product 2 | Hours Available | Overtime Available | Overtime Cost | ||||
| A | 1 | 0.35 | 100 | 10 | 18 | ||||
| B | 0.3 | 0.2 | 36 | 6 | 22.5 | ||||
| C | 0.2 | 0.5 | 50 | 8 | 12 | ||||
| Profit Contribution/Unit | 30 | 15 | |||||||
| X1 | X2 | ||||||||
| Production | |||||||||
| Constraints | Used | Available | |||||||
| Dept A Hours | |||||||||
| Dept B Hours | |||||||||
| Dept C Hours | |||||||||
| Dept A Overtime (XA) | |||||||||
| Dept B Overtime (XB) | |||||||||
| Dept C Overtime (XC) | |||||||||
| Objective: | |||||||||
| Profit |
Suppose that 10, 6, and 8 hours of overtime may be
1) Product 1 - ?
2) Prdouct 2 -?
3) Profit - ?
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