Formulate the corresponding transportation model

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Reference no: EM132241669

MG Auto, Produces four car models: M1, M2, M3, and M4. the Detroit plant produces models M1, M2, and M4. Models M1 and M2 are also Produced in New Orleans. The Los Angeles plants manufactures models M3 and M4. The capacities of the various plants and the demands at the distributions centers are given in the table.

the mileage chart is the same as given and the transportation rate remains at 8 cents per car mile for all models. Additionally, it is possible to satisfy a percentage of the demand for some models. Additionally, it is possible to satisfy a percentage of the demand for some models from the supply of others according to thespecifications below.

a) Formulate the corresponding transportation model.

b) Determine the optimum shipping schedule. Hint add four new destination corresponding to the new combinations [M1,M2] [M3,M4] [M1,M2] and [M2 M4] the demands at the new destination are determined from the given percentages.

Model

M1 M2 M3 M4 Total

Plant

Los Angeles ---- ---- 700 300 1000

Detroit 500 600 ------ 400 1500

New Orleans 800 400 ----- ----- 1200

Distribution Center

Denver 700 500 500 600 2300

Miami 600 500 200 100 1400

Distribution Center Percentage of demand Interchangeable models

Denver 10 M1,M2

20 M3, M4

Miami 10 M1,M2

5 M2, M4

Reference no: EM132241669

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