A Concise Intro To Logic
12th Edition
ISBN: 9781305147775
Author: Hurley
Publisher: Cengage
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Show your step-by-step process using the SPECIAL PURPOSE LINEAR PROGRAMMING: ASSIGNMENT METHOD to solve this problem.
Four Engineers are to work on 4 projects of Dora Company. The problem is to decide which engineer should be assigned to which project. Each engineer charges different fees on each project, due to distances of the projects and the complexity of the work. The cost of assigning particular engineers to particular projects are as stated below. The objective is to find the lease cost of assignment.
Engineer 1 to Projects A, B, C, D = $11k, $8k, $10k, $7k respectively.Engineer 2 to Projects A, B, C, D = $6k, $5k, $3k, $8k respectively.Engineer 3 to Projects A, B, C, D = $4k, $8k, $10k, $9k respectively.Engineer 4 to Projects A, B, C, D = $11k, $10k, $5k, $7k respectively.
In a factory they have type A machines and type B machines. Last week maintenance was given to 5 type A machines and 4 type B machines at a cost of $3,405,000. The previous week, $3,135,000 was paid to maintain 3 type A machines and 5 type B machines. What is the maintenance cost of the machines of each type?
The chief of police, Karen Stanley, of the Make-BelievePolice Department needs to assign five detective squadsto five pending criminal cases. Karen wants to comeup with an optimum assignment that will minimize thetotal time it takes to conclude the cases. Data on past performance of each detective squad to complete each case assigned in terms of average number of days ispresented in the following table.Average Completion Time (in Days)Detective Squad Case-1 Case-2 Case-3 Case-4 Case-5A 15 8 4 8 28B 21 8 13 7 32C 11 4 5 6 20D 9 12 8 13 20E 14 24 25 27 9Use the assignment method to solve the problemIf Squad D cannot be assigned to Case-5 as a result ofa conflict of interest, solve the problem given this new constraint.
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