Formulate a network model for problem

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Reference no: EM13230466

Question 1a

Consider the transportation problem having the following data.

DESTINATION


1

2

3

Supply

Source





1

6

7

4

40

2

5

8

6

60

Demand

30

40

30


  1. formulate a network model for this problem as a minimum-cost flow problem by drawing a network model.
  2. Formulate and solve a spreadsheet model for this problem.

NOTE: using word, insert shapes, lines with arrow draw answer to "a"

Type your name and label drawings.

Using solver and excel for "b" total cost should be $580

Question 1b

The diagram below depicts a system of aqueducts that originate at three rivers (nodes tt, x, and w) and terminate at a major city (node T), where the other nodes are junction points in the system.

1824_Junction points in the system.png

Using units of thousands of acre feet , the following tables show the maximum amount of water that can be pumped through each aqueduct per day.

To/ From

A

B

C

tt

75

65

-

x

40

50

60

w

-

80

70

To/From

D

E

F


To/From


A

60

45

-


D

120

B

70

55

45


E

190

C

-

70

90


F

130

  1. formulate this problem as a maximum flow problem by identifying a source, a sink, and transshipment nodes, and then drawing the complete network that shows the capacity of each arc.

Reference no: EM13230466

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