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“Assignment Requirements

The assignment questions and details of the assignment are contained in the uploaded cover sheet.
I have also uploaded topic notes so you can understand the content. It is also best to do the calculation with QM for windows as it makes it easier.
Special focus on topic 3 notes and the additional information for the transportation topic.
Assignment 3: Transportation and Assignment

Question 1
A car rental company has five lots across Sydney and wants a certain number of cars available at each lot at the beginning of each day for local rental. They would like to redistribute the cars among the five lots in the minimum total time at the end of each day. The times required to travel between the five lots (in minutes) are as follows:
From
To1
2
3
4
51

12
17
18
102
14

10
19
163
14
10

12
84
8
16
14

125
11
21
16
18

The agency would like the number of cars shown in the following table in each lot at the end of the day. Also shown is the number of available cars at each lot at the end of a particular day.
Cars
Lot1
2
3
4
5Available
37
20
14
26
49Desired
30
25
20
40
30
Complete the following tasks:
a) Formulate a transportation model in linear programming form show the model algebraically.
b) Solve the problem as a tableau model by computer and present and interpret your results.

Question 2

Arnoff Enterprises manufactures the central processing unit (CPU) for a line of personal computers. The CPUs are manufactured in Seattle Columbus and New York and shipped to warehouses in Pittsburgh Mobile Denver Los Angeles and Washington DC for further distribution. The following table shows the number of CPUs available at each plant the number of CPUs required by each warehouse and the shipping cost (dollars per 10 units).
Plant
Warehouse
Pittsburgh
Mobile
Denver
Los Angeles
Washington
CPUs availableSeattle
10
20
5
9
10
9000Columbus
2
10
8
30
6
4000New York
1
20
7
10
4
8000CPUs required
3000
5000
4000
6000
3000
21000
Complete the following tasks:
a) Develop a network representation of this problem.

b) Determine the amount that should be shipped from each plant to each warehouse to minimise the total shipping cost.

c) The Pittsburgh warehouse just increased its order by 1000 units and Arnoffauthorised the Columbus plant to increase its production by 1000 units. Will this production increase lead to an increase or decrease in total shipping costs? Solve for the new optimal solution.

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