Answered: In a transshipment problem involving 3…

In a transshipment problem involving 3 origins, 2 intermediate points, and 4 final destinations, what is the maximum number of decision variabl

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

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The Winston Company has four distribution centers (A, B, C, and D) that require 40,000, 60,000, 30,000, and 50,000 gallons of de-ionized water, respectively, per month for cleaning their long-haul trucks. Three de-ionized water wholesalers (1, 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 60,000 gallons, respectively. The total cost (shipping plus price) of delivering 1,000 gallons of de-ionized water from each wholesaler to each distribution center is shown in the following table: Distribution Center Wholesaler A B C D 1 $1.30 $1.40 $1.80 $1.60 2 $1.30 $1.50 $1.80 $1.60 3 $1.60 $1.40 $1.70 $1.50 a. Determine the optimal solution. Show that all capacities have been exhausted and that all demands can be met with this solution. b. What is the total cost of the solution?