MG Auto, Produces four car models: M1, M2, M3, and M4. theDetroit plant produces models M1, M2, and M4. Models M1 and M2 arealso Produced in New Orleans. The Los Angeles plants manufacturesmodels M3 and M4. The capacities of the various plants and thedemands at the distributions centers are given in the table.
the mileage chart is the same as given and the transportationrate remains at 8 cents per car mile for all models. Additionally,it is possible to satisfy a percentage of the demand for somemodels. Additionally, it is possible to satisfy a percentage of thedemand for some models from the supply of others according tothespecifications below.
a) Formulate the corresponding transportation model.
b) Determine the optimum shipping schedule. Hint add four newdestination corresponding to the new combinations [M1,M2] [M3,M4][M1,M2] and [M2 M4] the demands at the new destination aredetermined 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 Interchangeablemodels
Denver 10 M1,M2
20 M3, M4
Miami 10 M1,M2
5 M2, M4
