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c. If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Explain. ✓because Cabinetmaker 1 has dual value d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negative figure. Explain. No✔ because Cabinetmaker 2 has a slack X hours. Alternatively, the dual value is 0.00 ✔which means that adding one hour to this constraint will decrease total cost by $ Yes ✓of -1.84 ✓. Therefore, each additional hour of time for cabinetmaker 1 will reduce total cost by $ of 1.84 per hour, up to a maximum of 50 hours. 0.00 ✓

c. If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Explain. ✓because Cabinetmaker 1 has dual value d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negative figure. Explain. No✔ because Cabinetmaker 2 has a slack X hours. Alternatively, the dual value is 0.00 ✔which means that adding one hour to this constraint will decrease total cost by $ Yes ✓of -1.84 ✓. Therefore, each additional hour of time for cabinetmaker 1 will reduce total cost by $ of 1.84 per hour, up to a maximum of 50 hours. 0.00 ✓

Practical Management Science
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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c. If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Explain. ✓ because Cabinetmaker 1 has dual value Yes ✓ of No -1.84 ✔ ✓ of Therefore, each additional hour of time for cabinetmaker 1 will reduce total cost by $ d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negative figure. Explain. ✔ because Cabinetmaker 2 has a slack 1.84 ✔ per hour, up to a maximum of 30 X hours. Alternatively, the dual value is 50 ✓ hours. 0.00 ✓ which means that adding one hour to this constraint will decrease total cost by $ 0.00 ✓.
Transcribed Image Text:c. If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Explain. ✓ because Cabinetmaker 1 has dual value Yes ✓ of No -1.84 ✔ ✓ of Therefore, each additional hour of time for cabinetmaker 1 will reduce total cost by $ d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negative figure. Explain. ✔ because Cabinetmaker 2 has a slack 1.84 ✔ per hour, up to a maximum of 30 X hours. Alternatively, the dual value is 50 ✓ hours. 0.00 ✓ which means that adding one hour to this constraint will decrease total cost by $ 0.00 ✓.
Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here: Hours required to complete all the oak cabinets Hours required to complete all the cherry cabinets Hours available Cost per hour Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 32 50 61 35 $36 44 48 25 $43 34 30 $56 For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 61 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 35 hours available for the final finishing operation. Thus, Cabinetmaker 1 can only complete 35/50 = 0.7, or 70%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete 35/61 = 0.57, or 57%, of the cherry cabinets if it worked only on cherry cabinets.
Transcribed Image Text:Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here: Hours required to complete all the oak cabinets Hours required to complete all the cherry cabinets Hours available Cost per hour Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 32 50 61 35 $36 44 48 25 $43 34 30 $56 For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 61 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 35 hours available for the final finishing operation. Thus, Cabinetmaker 1 can only complete 35/50 = 0.7, or 70%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete 35/61 = 0.57, or 57%, of the cherry cabinets if it worked only on cherry cabinets.
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