A Manager has the problem of assigning four new machines to three production facilities. The respective profits derived are as shown. If only one machine is assigned to a production facility, determine the optimal assignment. Profits (K’000) production facility Machine A B C A 10 10 14 B 10 11 13 C 12 10 10 D 13 12 1

A Manager has the problem of assigning four new machines to three production facilities. The respective profits derived are as shown. If only one machine is assigned to a production facility, determine the optimal assignment. Profits (K’000) production facility Machine A B C A 10 10 14 B 10 11 13 C 12 10 10 D 13 12 1

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section7.5: Facility Location Models

Problem 25P

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A Manager has the problem of assigning four new machines to three production facilities.The respective profits derived are as shown. If only one machine is assigned to a productionfacility, determine the optimal assignment.Profits ($’000) production facilityMachine A B CA 10 10 14B 10 11 13C 12 10 10D 13 12 11(c) Use Simplex method toMaximize 1 2 Ζ = 4x +10xSubject to 1 2 2x + x ≤ 501 2 2x + 5x ≤1001 2 2x + 3x ≤ 901 2 x , x ≥ 0QUESTION TWO
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