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

question 18

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 gives the constraint for the demand met at a distribution center?

• A) X11 + X21 = 1,250
• B) X13 + X23 \(\ge\) 210
• C) X13 + X23 = 770
• D) X13 + X23 = 480

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Definitions:

Positive Displacement

A characteristic of a pump or motor that has its inlet positively sealed from its outlet so that no fluid can recirculate within the component; that is, what goes into the pump per cycle is what comes out per cycle.

Accumulators

Devices in hydraulic systems that store fluid under pressure, used to absorb shock or maintain pressure.

Potential Energy

The energy possessed by an object because of its position relative to others, stresses within itself, its electric charge, or other factors.

Dampen Shock

To reduce or absorb the impact of vibrations, impacts, or oscillations in a system, typically through the use of dampers or shock absorbers.