Question

The AAA Compnay is in teh business of buying and selling grain. An important aspect of the company's business is arranging for the purchased grain to be shipped to customers. if the company can keep relight costs low, profitability will improve. The company recently purchased three rail cars of grain at Munice, Indiana; six rail cars from Braizil, Indiana and vie rail cars at Xenia Ohio. Two carloads of grain have been sold. Teh locations and the amount sold at each location are as follows: Destination Number of Rail Car loads All shipments must be routed through either City E or F. Show are the shiping costs per bushel dollars from teh orgins to city E and F and the costs per bushel to ship from E, F to the Destination ABCD. To City E From City G City H City l City F 7 dollars 5 dolars From CityE City F City B 50 60 City 30 C City D 3s 35 25 26 Deate4rmine a shipping schedule taht will minimize the freight costs necessary to satisty demand. Please draw the network first and work on the Table, LINDO syntax, Output and Report.

Answer 1

Network model is following:

Let ij denote the quantity to be shipped from node i to j

LINDO model is following:

Min 7GE+5GF+4HE+9HF+5IE+4IF+50EA+30EB+35EC+35ED+60FA+40FB+25FC+26FD

s.t.

GE+GF <= 3

HE+HF <= 6

IE+IF <= 3

GE+HE+IE-EA-EB-EC-ED = 0

GF+HF+IF-FA-FB-FC-FD = 0

EA+FA = 3

EB+FB = 3

EC+FC = 2

ED+FD = 3

All variables >= 0

LINDO Output is following: