• Author / Uploaded
• Inam Ul Haq

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Problem. 1 Factories F1 F2 F3 Demand

solve the following transportation problems by W1 W2 W3 W4 6 4 1 5 8 9 2 7 4 3 6 2 6 10 15 4

supply 14 16 5 35

North west corner rule Vam method

Problem. Solve the folllowing transportatio problems by 1. North west corner rule 2. Vam method 3. Least cell method Give an optimal solution by using  

Stepping stone method Modi method

To/from 1 2 3 Demand

A 6 7 4 200

B 8 11 5 100

C 10 11 12 300

Supply 150 175 275 600

Problem. Transportation cost involves the cost and demand From/to

P

Q

R

Supply

1

$7

$8

$10

50

2

$9

$7

$8

60

Demand

70

30

40

Write down minimum cost method and then using stepping stone method to obtain optimal solution.

Problem.4 the hardrock concrete company has plants in three locations and is currently working on three major construction Projects, each located at a different site. The shipping cost per truckload of concrete, daily plant Capacities, and daily project requirements are provided in the accompanying table.

A) formulate an initial feasible solution to hardrock’s transportation problem using vam. B) then solve using the modi method. C) was the initial solution optimal?

Problem.5 the jessie cohen clothing group owns factories in three towns (w, y, and z) that distribute to three cohen Retail dress shops (in a, b, and c). Factory availabilities, projected store demands, and unit shipping costs are

Summarized in the table that follows:

Use vogel’s approximation method to find an initial feasible solution to this transportation problem. Is your Vam solution optimal?

Problem.6

the saussy lumber company ships pine flooring to three building supply houses from its mills in pineville, Oak ridge, and mapletown. Determine the best transportation schedule for the data given in the accompanying

Table. Use the northwest corner rule and the modi method.