# TUTORIAL 4

Satisfactory Essays
GHANA INSTITUTE OF MANAGEMENT AND PUBLIC ADMINISTRATION
GIMPA SCHOOL OF TECHNOLOGY
PGDMIS-OPERATIONS MANAGEMENT
TUTORIAL FOUR

1.

Consider the following transportation problem at Frank Timoney Enterprises in Clifton Park,

NY.

Find the optimal solution using the stepping-stone method.
To
From

2.

Destination A Destination B Destination C Supply

Source 1

8

9

4

72

Source 2

5

6

8

38

Source 3

7

9

6

46

Source 4

5

3

7

19

Demand

110

34

31

175

Solve the following using the NorthWest Corner Rule and the Least Cost Method. What is the optimal Solution?
B1 B2 B3 B4 Stock

3.

A1

1

2

1

4

30

A2

3

3

2

1

50

A3

4

2

5

9

20

Requirement 20

40

30

10

Solve the following using the Northwest Corner Rule and the Least Cost Method. What is the optimal Solution?

© Mr. Albert Cofie, February 28, 2015 acofie@gimpa.edu.gh Page 1

B1 B2 B3 B4 Stock

4.

A1

21

16

25

13

11

A2

17

18

14

23

13

A3

32

17

18

41

19

Requirement

6

10

12

15

Consider the following transportation tableau with four origins and destinations
Origin

Los Angeles San Francisco San Diego Supply

San Jose

4

10

6

100

Las Vegas

8

16

6

300

Tucson

14

18

10

300

Demand

200

300

200

Use the Least Cost Method to determine an initial basic feasible solution to the problem. Find the optimal solution using the Stepping Stone Method.
5.

A company has factories at A, B and C which supply warehouses at D, E and F. Weekly factory capacities are 200, 160 and 90 units respectively. Weekly warehouse requirements (demands) are 180, 120 and 150 units respectively. Unit shipping costs (in Emalangeni) are as follows:
Factory

D

E

F

Capacity

A

16

20

12

200

B

14

8

18

160

© Mr. Albert Cofie, February 28, 2015 acofie@gimpa.edu.gh Page 2

C

26

24

16

90

Demand 180 120 150 450
Determine the optimum distribution for this company to minimize shipping costs.
6.

A Timber company ships pine flooring to three building supply houses from its mills in

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