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Consider the Following Shortest-Route Problem Involving Seven Cities

question 54

Essay

Consider the following shortest-route problem involving seven cities.The distances between the cities are given below.Draw the network model for this problem and formulate the LP for finding the shortest route from City 1 to City 7.  Path  Distance 1 to 261 to 3101 to 472 to 342 to 553 to 453 to 523 to 644 to 685 to 776 to 75\begin{array} { c c } \text { Path } & \text { Distance } \\\hline 1 \text { to } 2 & 6 \\1 \text { to } 3 & 10 \\1 \text { to } 4 & 7 \\2 \text { to } 3 & 4 \\2 \text { to } 5 & 5 \\3 \text { to } 4 & 5 \\3 \text { to } 5 & 2 \\3 \text { to } 6 & 4 \\4 \text { to } 6 & 8 \\5 \text { to } 7 & 7 \\6 \text { to } 7 & 5\end{array}

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Definitions:

Deadweight Loss

A loss in total societal welfare that occurs when market equilibrium is not achieved or when market imperfections exist, leading to inefficient allocation of resources.

Relatively Inelastic

Describes a situation where the demand for a good or service changes by a smaller percentage than changes in its price.

Deadweight Loss

A situation where inefficiency in the market leads to a loss of total social welfare, typified by a gap between the supply and demand curves.

Relatively Elastic

Describes a situation where the demand or supply for a good or service significantly changes in response to changes in price.

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