2. A company imports goods at two ports: New York and New Jersey. Shipments of o
ID: 430355 • Letter: 2
Question
2. A company imports goods at two ports: New York and New Jersey. Shipments of one product are made to consumers in California, Dallas, and Boston. For the next planning period, the supplies at each port, customer demand, and shipping costs per case from each port to each costumer are as follows (15 points): Customers Port.-California Dallas Boston/Port Supply New York 1283 New Jersey10 15 20 Demand 25 15 10 Part A; Develop a network representation of the distribution system (transportation problem) (10 points) Part B; Develop a linear programming model for this problem; be sure to define the variables in your model (Xij) (10 points)Explanation / Answer
Linear programming model is following
Decision variables : Xij = shipment from Port i to customer J
Objective: Min 12X11 + 9X12 + 8X13 + 10X21 + 15X22 + 6X23
s.t.
X11+X12+X13 = 30
X21+X22+X23 = 20
X11+X21 = 25
X12+X22 = 15
X13+X23 = 10
Xij >= 0
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