A food distribution company ships fresh spinach from its four packing plants (Eaglestown, Farrier, Guyton, and Hayesville) to large East-coast cities (Atlanta, Boston, Charlestown, and Dover). The shipping costs per crate, the supply and demand are shown in the table below.
MARKETS
PACKING
PLANTS ATLANTA BOSTON CHARLESTOWN DOVER SUPPLY
Eaglestown $6.50 $7.50 $8.00 $8.00 9,000
Farrier $6.00 $6.00 $4.50 $7.50 10,000
Guyton $7.00 $6.00 $7.50 $8.00 7,000
Hayesville $8.00 $8.50 $8.50 $7.50 7,000
Demand 8,000 9,000 11,000 5,000
Formulate a model that will permit the company to meet its demand ant the lowest cost.
a) What is the total cost to meet the demands in the four markets?
b) How much product is shipped from Hayesville to Boston?
c) How much product is shipped from Eaglestown to Charlestown?
d) Which of the possible paths (packing plant to market) have no product shipped along that route.