1. A state has three power plants with generating capacities of 30, 40 and 25 million KWH that supply electricity to three cities located in the same state. The demand requirements (maximum) of the three cities are 35, 40 and 20 million KWH. The distribution cost (Rs. in thousand) per million unit for the three cities are given in the table below: City 1 2 3 60 75 45 Plant 2 35 35 40 3 55 50 45 a. Formulate the problem as a transportation model. b. Determine an economical distribution plan. If the demand is estimated to increase by 15%, what is your revised plan? d. If the transmission loss of 5% is considered, determine the optimal plan.
1. A state has three power plants with generating capacities of 30, 40 and 25 million KWH that supply electricity to three cities located in the same state. The demand requirements (maximum) of the three cities are 35, 40 and 20 million KWH. The distribution cost (Rs. in thousand) per million unit for the three cities are given in the table below: City 1 2 3 60 75 45 Plant 2 35 35 40 3 55 50 45 a. Formulate the problem as a transportation model. b. Determine an economical distribution plan. If the demand is estimated to increase by 15%, what is your revised plan? d. If the transmission loss of 5% is considered, determine the optimal plan.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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