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

question 34

Multiple Choice

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 Dallas?

• A) X11 + X12 + X13 + X14 \(\le\) 1,250
• B) X21 + X22 + X23 + X24 \(\le\) 1,250
• C) X21 + X22 + X23 + X24 \(\le\) 750
• D) X11 + X12 + X13 + X14 - X21 + X22 + X23 + X24 \(\le\) 850

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Definitions:

Composition

The act of combining two functions by applying one function to the result of another.

Function

A mathematical relation in which each element of a set of inputs is associated with exactly one element of a set of outputs.

Inverse Function

A function that reverses the operation of a given function, so that if the original function applied to an input gives a certain output, the inverse function applied to that output returns the original input.

Function

A relation between a set of inputs and a set of permissible outputs, where each input is related to exactly one output.