Question

Use the table below to answer the following question(s). The Riviera Transport Company (RTC) produces car accessories at two plants: Dallas and Atlanta. They ship them to major distribution centers in Houston, San Jose, Jacksonville, a Memphis. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant an distribution center, plant capacities over the next planning period, and distribution center demands. RTC's supply chain manager faces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, not exceed available capacity, and meet customer demand. Assume Xij = amount shipped from plant i to distribution center j, where i = 1 represents Dallas, i = 2 represents Atlanta, j = 1 represents Houston, and so on. Transportatio In Model Data Distribution Center Plant Houston San Jose Jacksonville Memphis Dallas 13.00 15.25 | 10.99 18.48 Atlanta 10.75 15.16 9.65 18.50 Demand 175 325 480 950 Answer the following question(s) using a linear optimization model. Capacity 1250 750 Which of the following gives the constraint for the demand met at a distribution center? O X11 + X21 = 1,250 OX13 + X23 210 OX13 + X23 = 770 O X13+ X23 = 480

Answer 1

since Xij = amount shipped from plant i to distribution centre j, where i = 1 represents Dallas, i = 2 represents atlanta, j = 3 represents jacksonville then

shipment from dallas and atlanta to jacksonville must equal the demand at jacksonville which is 480 hence the constraint can be stated as

X₁₃ + X₂₃ = 480