a. Formulate the problem as a transportation model. b. Determine an economical distribution plan. c. 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.
Chapter5: Network Models
Section5.3: Assignment Models
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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
1
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.
c. 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.
2. A company has plants at locations A, B and C with the daily capacity to produce
chemicals to a maximum of 3000 kg, 1000 kg and 2000 kg respectively. The cost
of production (per kg) are P800, P900 and P750 respectively. Customer's
requirement of chemicals per day is as follows:
Customer
Chemical Required
Price offered
I
2000
200
2
1000
215
3
2500
225
4
1000
200
Transportation cost per kg from plant locations to customer's place is given in
table.
Customer
1
2
3
4
A
5
7
10
12
Plant
B
7
3
4
2
C
4
6
3
9
Find the transportation schedule that minimizes the total transportation cost.
Transcribed Image Text: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 1 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. c. 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. 2. A company has plants at locations A, B and C with the daily capacity to produce chemicals to a maximum of 3000 kg, 1000 kg and 2000 kg respectively. The cost of production (per kg) are P800, P900 and P750 respectively. Customer's requirement of chemicals per day is as follows: Customer Chemical Required Price offered I 2000 200 2 1000 215 3 2500 225 4 1000 200 Transportation cost per kg from plant locations to customer's place is given in table. Customer 1 2 3 4 A 5 7 10 12 Plant B 7 3 4 2 C 4 6 3 9 Find the transportation schedule that minimizes the total transportation cost.
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