Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
12th Edition
ISBN: 9780134741062
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter D, Problem 4P
Summary Introduction

Interpretation: To estimate the minimum amount of operators with the needed demand requirements

Concept Introduction: one kind of problem in linear programming is scheduling problem. Most of the large organizations to maintain their scheduling of the employees for the best service. Using this linear programming algorithms the scheduling problem will be solved.

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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…
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 ✓.
Mercury Electronics must develop a plan to allocate capacity to fulfilling forecasted demand of 400 units in March, 500 units in April, and 700 units in May. Mercury has 50 units of inventory currently on hand. For each month, Mercury can produce units as follows: Regular Time Month March Overtime 50 Subcontracting 100 350 April 400 50 100 May 450 50 100 Assume the following costs: Regular time cost per unit $50 Overtime cost per unit $65 Subcontract cost per unit $80 Carrying cost per unit per month $1 Back order cost per unit per month $4 Develop an Excel model that allocates production capacity to satisfy demand at a minimum cost.
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