Use the Table Below to Answer the Following Question(s) Answer the Following Question(s) Using a Linear Optimization Model

question 23

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 = 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. $\begin{array}{|l|l|l|l|l|l|}\hline \text { Transportation } & \\\text { Model } & \\\hline & \\\hline \text { Data } & \\\hline & \begin{array}{l}\text { Distribution } \\\text { Center }\end{array} \\\hline \text { Plant } & \text { Houston } & \text { San Jose } & \text { Jacksonville } & \text { Memphis } & \text { Capacity } \\\hline \text { Dallas } & 13.00 & 15.25 & 10.99 & 18.48 & 1250 \\\hline \text { Atlanta } & 10.75 & 15.16 & 9.65 & 18.50 & 750 \\\hline \text { Demand } & 175 & 325 & 480 & 950 & \\\hline\end{array}$ Answer the following question(s) using a linear optimization model.
-According to the transportation model, which of the following is the amount shipped from Dallas to San Jose?

• A) 0
• B) 95
• C) 230
• D) 325

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Definitions:

Zero Net Difference

When the difference between expense and revenue equals zero; meaning that the values of both are equal; also called breakeven points when revenue and expenses are graphed on the same coordinate plane.

Demand Function

A mathematical formula that describes the relationship between the demand for a good and its price, along with other factors like income and prices of related goods.

Expense Functions

Mathematical expressions that calculate the total costs associated with producing a certain number of goods or services.

Revenue Functions

Mathematical models that describe how a company's revenue is related to the selling price of its products and the quantity of products sold.