Due to Increased Sales, a Company Is Considering Building Three

question 15

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


$$\begin{array} { | c | c | c | c | c | } \hline \mathrm { DC } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } \\\hline 1 & 1 & 3 & 3 & 2 \\\hline 2 & 2 & 4 & 1 & 3 \\\hline 3 & 3 & 2 & 2 & 3 \\\hline\end{array}$$
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:

Nash Equilibrium

A concept within game theory where each player's strategy is optimal given the strategies of all other players, and no player has anything to gain by changing only their own strategy.

Simultaneous Game

A strategic game where all players make their decisions at the same time, often used in the context of game theory to analyze competitive situations.

Shoplifter

An individual who steals goods from a retail establishment.

Simultaneous Game

A game theory concept where players choose their strategies and make their moves at the same time, without knowledge of the others' choices.