General Ford produces cars at L.A. and Detroit and hasa warehouse in Atlanta; the company supplies cars tocustomers in Houston and Tampa. The cost of shipping a carbetween points is given in Table 60 (“—” means that ashipment is not allowed). L.A. can produce as many as1,100 cars, and Detroit can produce as many as 2,900 cars.Houston must receive 2,400 cars, and Tampa must receive1,500 cars.a Formulate a balanced transportation problem thatcan be used to minimize the shipping costs incurred inmeeting demands at Houston and Tampa.b Modify the answer to part (a) if shipments betweenL.A. and Detroit are not allowed.c Modify the answer to part (a) if shipments betweenHouston and Tampa are allowed at a cost of $5.
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.
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