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Consider the Following Shortest-Route Problem Involving Six Cities with the Distances

question 35

Essay

Consider the following shortest-route problem involving six cities with the distances given. Draw the network for this problem and formulate the LP for finding the shortest distance from City 1 to City 6.  Path  Distance 1 to 231 to 322 to 442 to 553 to 433 to 574 to 665 to 62\begin{array} { l c } \text { Path } & \text { Distance } \\1 \text { to } 2 & 3 \\1 \text { to } 3 & 2 \\2 \text { to } 4 & 4 \\2 \text { to } 5 & 5 \\3 \text { to } 4 & 3 \\3 \text { to } 5 & 7 \\4 \text { to } 6 & 6 \\5 \text { to } 6 & 2\end{array}

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Definitions:

Capacity

The maximum amount or number that can be received or contained, commonly used in reference to production and manufacturing capabilities.

Utilization

The proportion of the available time that a system, machine, or service is operating or being used.

Break-Even Point

The production level or sales volume at which total revenues equal total expenses, resulting in neither profit nor loss.

Variable Costs

Costs that change in proportion to the level of production or sales activities, such as materials and labor.

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