The Iteration 2 of the given transportation model by NWCR is optimal. What is the delivery schedule of source Z and what does the shipment cost?
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- Find an initial basic feasible solution for a given transportation problem by using Vogel's approximation method D1 D2 D3 D4 Supply S1 11 13 17 14 250 S2 16 18 14 10 300 S3 21 24 13 10 400 Demand 200 225 275 250Oranges are grown, picked, and then processed and pack-aged at distribution centers in Tampa, Miami, and Fresno. These centers supply oranges to markets in New York,Philadelphia, Chicago, and Boston. The following tableshows the shipping costs per truckload ($100s), supply,and demand: Because of an agreement between distributors, ship-ments are prohibited from Miami to Chicago. Solve this problem. to Newfrom York Philadelphia Chicago Boston SupplyTampa $ 9 $14 $12 $17 300Miami 11 10 6 10 200Fresno 12 8 15 7 250Demand 160 210 130 180a.Find the starting solution of this transportation model by Least Cost Method. (15P) (Unit transportation costs are given in the table) D1 D2 D3 D4 Supply M1 16 24 14 11 25 M2 21 18 17 9 30 M3 15 13 21 14 40 Demand 25 25 20 25
- Explain in detail Consider a balanced transportation problem with the cost of transportation Cij given by: C11=10,C12=0,C13=20,C14=11C11=10,C12=0,C13=20,C14=11, C21=12,C22=7,C23=9,C24=20C21=12,C22=7,C23=9,C24=20 , C31=0,C32=14,C33=16,C34=18C31=0,C32=14,C33=16,C34=18, with the current basic feasible solution (BFS): x12=15,x22=0,x23=15,x24=10,x31=5,x34=0x12=15,x22=0,x23=15,x24=10,x31=5,x34=0. Then Select one: a)current solution is not optimal and x24x24 is a leaving variable b)None of these c)the current BFS is optimal d)current solution is not optimal and x23x23 is a leaving variableWe’re Computers sells PCs to colleges on the East Cost and ships them from threedistribution centers (DCs). The firm is able to supply the following numbers of PCs to thecolleges by the beginning of the academic year.DistributionCentersSupply(PCs)1. Richmond 4202. Atlanta 6103. Washington, DC 340Total 1,370Four colleges have ordered PCs that must be delivered and installed.Colleges Demand(PCs)A. Tech 520B. A & M 250C. State 400D. Central 380Total 1,550The shipping and installation costs per PC from each distributor to each college are as follows:To (cost)From A B C D1 $22 $17 $30 $182 15 35 20 253 28 21 16 14a. Formulate the problem and solve by using Excel Solver. That is how many computers fromeach DC will be shipped to each college and what will be the total cost?b. To better meet demand at the four colleges it supplies, the company is considering twoalternatives: (1) expand Richmond DC to a capacity of 600, at a cost equivalent to anadditional $6 in handling and shipping per…We’re Computers sells PCs to colleges on the East Cost and ships them from threedistribution centers (DCs). The firm is able to supply the following numbers of PCs to thecolleges by the beginning of the academic year.DistributionCentersSupply(PCs)1. Richmond 4202. Atlanta 6103. Washington, DC 340Total 1,370Four colleges have ordered PCs that must be delivered and installed.Colleges Demand(PCs)A. Tech 520B. A & M 250C. State 400D. Central 380Total 1,550The shipping and installation costs per PC from each distributor to each college are as follows:To (cost)From A B C D1 $22 $17 $30 $182 15 35 20 253 28 21 16 14a. Formulate the problem and solve by using Excel Solver. That is how many computers fromeach DC will be shipped to each college and what will be the total cost?b. To better meet demand at the four colleges it supplies, the company is considering twoalternatives: (1) expand Richmond DC to a capacity of 600, at a cost equivalent to anadditional $6 in handling and shipping per…
- a.Find the starting solution of this transportation model by Least Cost Method. (Unit transportation costs are given in the table) Then find the optimal solution of this transportation model by Stepping Stone Method. D1 D2 D3 D4 Supply M1 16 24 14 11 25 M2 21 18 17 9 30 M3 15 13 21 14 40 Demand 25 25 20 25.Consider the following matrix for transportation problem: using VAM as IBFS and apply Modi method to find out the optimal solution. Market-1 Market-2 Market-3 SupplyCompany-1 5 4 6 65Company-2 7 4 7 42Company-3 8 6 7 43Demands 70 30 50 BalancedExplain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.
- The optimal solution to the original Grand Prix problem indicates that with a unit shipping cost of $132, the route from plant 3 to region 2 is evidently too expensive—no autos are shipped along this route. Use SolverTable to see how much this unit shipping cost would have to be reduced before some autos would be shipped along this route.Oranges are grown, picked and then stored in warehouses in Tampa, Miami, and Fresno.Theses 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, anddemand. Because of an agreement between distributors, shipments are prohibited from Miamito Chicago:To (cost, in $100)From New York Philadelphia Chicago Boston SupplyTampa 9 14 12 17 150Miami 11 10 6 10 250Fresno 12 8 15 7 200Demand 110 250 140…“It is essential to constrain all shipments in a transportation problem to have integer values to ensure that the optimal LP solution consists entirely of integer-valued shipments.” Is this statement true or false? Why?