Spreadsheet Modeling & Decision Analysis: A Practical Introduction to Business Analytics (MindTap Course List)
8th Edition
ISBN: 9781305947412
Author: Cliff Ragsdale
Publisher: Cengage Learning
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Chapter 2, Problem 1.1C
Summary Introduction
Case summary:
Company BR manufactures two models of hot tubs known as Model AS and Model HL. Person HJ is the manager and the owner of the company wants to decide on the optimal product mix so that the maximum profit is achieved.
To identify: The number of pumps, hours of labor, and feet of tubing being utilized.
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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:
Cabinetmaker 1
Cabinetmaker 2
Cabinetmaker 3
Hours required to complete all the oak cabinets
50
44
32
Hours required to complete all the cherry cabinets
61
46
34
Hours available
35
25
30
Cost per hour
$36
$43
$56
For example, Cabinetmaker 1 estimates that 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…
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:
Cabinetmaker 1
Cabinetmaker 2
Cabinetmaker 3
Hours required to complete all the oak cabinets
47
40
27
Hours required to complete all the cherry cabinets
64
51
36
Hours available
40
30
35
Cost per hour
$34
$41
$52
For example, Cabinetmaker 1 estimates it will take 47 hours to complete all the oak cabinets and 64 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours available for the final…
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 ✓.
Chapter 2 Solutions
Spreadsheet Modeling & Decision Analysis: A Practical Introduction to Business Analytics (MindTap Course List)
Ch. 2 - Prob. 1QPCh. 2 - Prob. 2QPCh. 2 - Prob. 3QPCh. 2 - Prob. 4QPCh. 2 - Prob. 5QPCh. 2 - Prob. 6QPCh. 2 - Prob. 7QPCh. 2 - Prob. 8QPCh. 2 - Prob. 9QPCh. 2 - Prob. 10QP
Ch. 2 - Prob. 11QPCh. 2 - Prob. 12QPCh. 2 - Prob. 13QPCh. 2 - Prob. 14QPCh. 2 - Prob. 15QPCh. 2 - Prob. 16QPCh. 2 - Prob. 17QPCh. 2 - Prob. 18QPCh. 2 - American Auto is evaluating their marketing plan...Ch. 2 - Prob. 20QPCh. 2 - Prob. 21QPCh. 2 - Prob. 22QPCh. 2 - Prob. 23QPCh. 2 - Prob. 24QPCh. 2 - Prob. 25QPCh. 2 - Prob. 26QPCh. 2 - Prob. 1.1CCh. 2 - Prob. 1.2CCh. 2 - Prob. 1.3CCh. 2 - Prob. 1.4CCh. 2 - Prob. 1.5CCh. 2 - Prob. 1.6CCh. 2 - Prob. 1.7CCh. 2 - Prob. 1.8CCh. 2 - Prob. 1.9CCh. 2 - Prob. 1.10C
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