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Due to Increased Sales, a Company Is Considering Building Three

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Essay

Due to increased sales, a company is considering building three new distribution centers (DCs) to serve four regional sales areas. The annual cost to operate DC 1 is $500 (in thousands of dollars). The cost to operate DC 2 is $600 (in thousands of dollars.). The cost to operate DC 3 is $525 (in thousands of dollars). Assume that the variable cost of operating at each location is the same, and therefore not a consideration in making the location decision.
The table below shows the cost ($ per item) for shipping from each DC to each region.
Region


DCABCD113322241333223\begin{array} { | c | c | c | c | c | } \hline \mathrm { DC } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \\\hline 1 & 1 & 3 & 3 & 2 \\\hline 2 & 2 & 4 & 1 & 3 \\\hline 3 & 3 & 2 & 2 & 3 \\\hline\end{array}
The demand for region A is 70,000 units; for region B, 100,000 units; for region C, 50,000 units; and for region D, 80,000 units. Assume that the minimum capacity for the distribution center will be 500,000 units.
Define the decision variables for this situation.

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Definitions:

Variable Costs

Costs that change in proportion to the level of activity or production volume, such as raw materials and direct labor costs.

Fixed Costs

Expenses that do not change in proportion to the activity of a business.

Net Income

Net income is the total earnings of a company after all expenses and taxes have been deducted from revenues, indicating the company's profitability over a specific period.

Sales

The total amount of money received by a company for goods or services sold during a certain time period.

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