Use the table below to answer the following questions).
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. $$\begin{array} { | l | l | l | l | l | l | }
\hline \text { Transpartation } & & & & & \
\text { Model } & & & & & \
\hline & & & & & \
\hline \text { Data } & & & & & \
\hline & \text { Distribution } & & & & \
& \text { Center } & & & & \
\hline \text { Plant } & \text { Houston } & \text { Sarn Jose } & \text { Jacksorville } & \text { Mernphis } & \text { Capacity } \
\hline \text { Dallas } &13.00 & 15.25 & 10.99 & 18.48 & 1250 \
\hline \text { Atlarita } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \
\hline \text { Dernand } & 175 & 325 & 480 & 950 & \
\hline
\end{array}$$ Answer the following questions) using a linear optimization model.
-Which of the following is the constraint for total amount shipped from Atlanta?
A) X11 + X12 + X13 + X14 - X21 + X22 + X23 + X24 $\le$ 850
B) X21 + X22 + X23 + X24 $\le$ 750
C) X21 + X22 + X23 + X24 $\le$ 1250
D) X11 + X12 + X13 + X14 $\le$ 1250

Question

Use the table below to answer the following questions).
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. $$\begin{array} { | l | l | l | l | l | l | } 
\hline \text { Transpartation } & & & & & \
\text { Model } & & & & & \
\hline & & & & & \
\hline \text { Data } & & & & & \
\hline & \text { Distribution } & & & & \
& \text { Center } & & & & \
\hline \text { Plant }  & \text { Houston } & \text { Sarn Jose } & \text { Jacksorville } & \text { Mernphis } & \text { Capacity } \
\hline \text { Dallas } &13.00 & 15.25 & 10.99 & 18.48 & 1250 \
\hline \text { Atlarita } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \
\hline \text { Dernand } & 175 & 325 & 480 & 950 & \
\hline
\end{array}$$ Answer the following questions) using a linear optimization model.
-Which of the following is the constraint for total amount shipped from Atlanta?
A) X11 + X12 + X13 + X14 - X21 + X22 + X23 + X24 $\le$ 850
B) X21 + X22 + X23 + X24 $\le$ 750
C) X21 + X22 + X23 + X24 $\le$ 1250
D) X11 + X12 + X13 + X14 $\le$ 1250

Quizplus · Accepted Answer

The constraint for the total amount shipped from Atlanta must ensure that the sum of all shipments from Atlanta to the distribution centers does not exceed Atlanta's capacity, which is 750 units. This is represented by the sum of all X2j variables being less than or equal to 750, where j represents the different distribution centers.

Use the Table Below to Answer the Following Questions) Answer the Following Questions) Using a Linear Optimization Model