Problem:
Oranges are grown, picked, and then stored in warehouses in Tampa, Miami, and Fresno. These warehouses supply oranges to markets in New York, Philadelphia, Chicago, and Boston. The following table shows the shipping costs per truckload (in hundreds of dollars), supply, and demand. Because of an agreement between distributors, shipments are prohibited from Miami to Chicago: To (cost, in $100s)
From New York Philadelphia Chicago Boston Supply
Tampa $9 $14 $12 $17 200
Miami 11 10 6 10 200
Fresno 12 8 15 7 200
Demand 130 170 100 150
Required:
Question 1) Formulate this problem as a linear programming model and solve it by using the computer.
Solve the given numerical problem and illustrate step by step calculation.