Which of the following gives the constraint for the demand met at a distribution center? OX13+X232 210 X11+xX21 = 1,250 OX13+X23 = 480 OX13+X23=770

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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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, and 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 and 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
Memphis
18.48
Dallas
13.00
Atlanta
10.75
18.50
Demand
175
950
Answer the following question(s) using a linear optimization model.
San Jose
15.25
15.16
325
Jacksonville
10.99
9.65
480
Capacity
1250
750
Which of the following gives the constraint for the demand met at a distribution center?
O X13+X23 ≥ 210
X11 + X21 = 1,250
X13 + X23 = 480
X13 + X23 =
770
Transcribed Image Text: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, and 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 and 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 Memphis 18.48 Dallas 13.00 Atlanta 10.75 18.50 Demand 175 950 Answer the following question(s) using a linear optimization model. San Jose 15.25 15.16 325 Jacksonville 10.99 9.65 480 Capacity 1250 750 Which of the following gives the constraint for the demand met at a distribution center? O X13+X23 ≥ 210 X11 + X21 = 1,250 X13 + X23 = 480 X13 + X23 = 770
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