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

question 43

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 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 \(\le\) 0
• B) Xij\(\ge\) 0, for all i and j
• C) Xij \(\le\) 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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Definitions:

Balance Sheet

A financial statement that provides a snapshot of a company’s financial condition at a specific point in time, showing assets, liabilities, and shareholders’ equity.

Annual Depreciation

The allocation of the cost of a tangible asset over its useful life, reflecting the decrease in value due to wear and tear.

Monthly Basis

A timeframe or schedule that involves events or payments occurring once every month.

Prepaid Expense

Expenses paid in advance for goods or services which will be received in the future.