13. A large manufacturing company is closing three of its existing plants and intends to transfer someof its more skilled employees to three plants that will remain open. The number of employeesavailable for transfer from each closing plant is as follows:Closing Plant123TotalTransferableEmployeesOpen PlantsABCTotal6010570235The following number of employees can be accommodated at the three plants remaining open:EmployeesDemanded459035170 Each transferred employee will increase product output per day at each plant, as shown in thefollowing table:ToFrom A15213107(employees)B896C6128The company wants to transfer employees to ensure the maximum increase in product output.Solve this problem by using the computer.

The above question is of allocation problem. It can be solved using the following way

Answered: The company wants to transfer employees…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 32P

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Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 40 2y − z ≥ 10 2x − y + z ≥ 20 x ≥ 0, y ≥ 0, z ≥ 0.
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Maximize P = x + 4y − 2z subject to 3x + y − z ≤ 40 2x + y − z ≤ 20 −x + y + z ≤ 40 x ≥ 0, y ≥ 0, z ≥ 0

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The company wants to transfer employees to ensure the maximum increase in product output. Solve this problem by using the computer.