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

question 56

True/False

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.
-The mathematical form Y $\le$ 450 would be considered as representing a simple bounds constraint.

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Definitions:

Free-rider Problem

A situation in which individuals consume a good without paying for it, relying on others to bear the cost, which can lead to underprovision of the good.

Private Good

A product or service that is excludable and rivalrous, meaning its use by one individual prevents others from using it, and it can be kept exclusive to those who pay for it.

Marginal Cost

The rise in cost resulting from the manufacture of an additional unit of a product or service.

Public Good

A product or service that is non-excludable and non-rivalrous, meaning that one's use of the good does not reduce its availability to others.