(Answered) : Tobacco is purchased by Cooperative Tobacco Farmers, Inc., is stored in warehouses in four cities at the end of each season. Lo

Tobacco is purchased by Cooperative Tobacco Farmers, Inc., is stored in warehouses in four cities at the end of each season.

Location

Capacity (tons)

Charlotte

90

Raleigh

50

Lexington

80

Danville

60

280

These warehouses supply the following amounts of tobacco to companies in the following three cities:

Plant

Demand (tons)

Richmond

120

Winston-Salem

100

Durham

110

330

The railroad shipping costs per ton are as follows:

To

Richmond

Winston-Salem

Durham

Charlotte

$70

100

50

Raleigh

120

90

40

Lexington

70

30

110

Danville

90

50

70

a) Cooperative Tobacco Farmers wants to determine what amounts of tobacco should be shipped from the warehouses to the tobacco plants at the least total cost.

b) Because of railroad construction, shipments are presently prohibited from Charlotte to Richmond. How should Cooperative Tobacco Farmers adjust their shipping