Problem 2. 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. 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

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.