Use the Table Below to Answer the Following Question(s) Amount Shipped from Plant I to Distribution Center J, Where

question 17

Multiple Choice

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 = $$\begin{array} { | l | l | l | l | l | l | } \hline \begin{array} { l } \text { Transportation } \\\text { Model }\end{array} & & & & & \\\hline & & & & & \\\hline \text { Data } & & & & & \\\hline & \begin{array} { l } \text { Distribution } \\\text { Center }\end{array} & & & & \\\hline \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jacksonville } & \text { Memphis } & \text { Capacity } \\\hline \text { Dallas } & 13.00 & 15.25 & 10.99 & 18.48 & 1250 \\\hline \text { Atlanta } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \\\hline \text { Demand } & 175 & 325 & 480 & 950 & \\\hline\end{array}$$ 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.
Answer the following question(s) using a linear optimization model.
-Which of the following is the constraint of nonnegativity for all values of i and j?

• A)13 X₁₁ +15.25 X₁₂ +10.99 X₁₃ +18.48 X₁₄ / 10.75 X₂₁ +15.16 X₂₂ + 9.65 X₂₃ +18.5 X₂₄ ≤ 0
• B)Xᵢⱼ ≥ 0, for all i and j
• C)Xᵢⱼ ≤ 0, for all i and j
• D) \(\left( 13 X _ { 11 } + 15.25 X _ { 12 } + 10.99 X _ { 13 } + 18.48 X _ { 14 } - 10.75 X _ { 21 } + 15.16 X _ { 22 } + 9.65 X _ { 23 } + 18.5 X _ { 24 } \right) ( 1,250 / 750 ) \leq 0\)

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