1 General Ford produces cars at L.A. and Detroit and has a warehouse in Atlanta;

Question

1

General Ford produces cars at L.A. and Detroit and has a warehouse in Atlanta; the company supplies cars to customers in Houston and Tampa. The cost of shipping a car between points is given in Table 60 (“—” means that a shipment is not allowed). L.A. can produce as many as 1,100 cars, and Detroit can produce as many as 2,900 cars. Houston must receive 2,400 cars, and Tampa must receive 1,500 cars. a Formulate a balanced transportation problem that can be used to minimize the shipping costs incurred in meeting demands at Houston and Tampa. b Modify the answer to part (a) if shipments between L.A. and Detroit are not allowed.

c) Modify the answer to part (a) if shipments between Houston and Tampa are allowed at a cost of $5.

TABLE 60
To ($) From L.A. Detroit Atlanta Houston Tampa

L.A. 0 140 100 90 225

Detroit 145 0 111 110 119

Atlanta 105 115 0 113 78

Houston 89 109 121 0 —

Tampa 210 117 82 — 0

Explanation / Answer

There is no modification in the answer due to either b or c, because LA and Detroit are the supplying units and while formulating a transportation schedule the transportation between production points are not taken into consideration and same goes with Houston and Tampa as both are demanding customers so even they are not taken into consideration.

To From LA Detroit Demand Houston 89 109 2400 Tampa 210 117 1500 Dummy 0 0 100 Supply 1100 2900 4000

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