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Oranges are grown, picked and then stored in warehouses in Tampa and Fresno. Theses warehouses supply oranges to markets in New York, Chicago, and Boston. The following table shows the shipping costs per truckload (in $100s), supply, and demand. Because of an agreement between distributors, shipments are prohibited from Tampa to New York:

-->Formulate a linear programming model for this problem. --> Find the optimal objective value and the optimal solution point in (a) by Excel Solver.

Can the problem be set up this way like I started?

To From New York Chicago Boston Supply Tampa 12 16 14 350 Fresno 16 12 20 500 Demand 250 210 180 xij = the number of truckloads of oranges transported from warehoues i to markets j i= 1,2 j=N, C, B C B x1 N NULL 16x2N 16x1c 12x20 14x1B 20x2B x2 Min Z= 16x1C+14x1B+16x2N+12x2C+20x2B s.t. x1=350 X2=500 X2N=250 X1C+x2C=210 X1B+X2B=180 xij>=0