Draw the Network for This Assignment Problem

question 38

Essay

Draw the network for this assignment problem.
$$\begin{array} { l l } \text { Min } & 10 x _ { 1 A } + 12 x _ { 1 B } + 15 x _ { 1 C } + 25 x _ { 1 D } + 11 x _ { 2 A } + 14 x _ { 2 B } + 19 x _ { 2 C } + 32 x _ { 2 D } \\& + 18 x _ { 3 A } + 21 x _ { 3 B } + 23 x _ { 3 C } + 29 x _ { 3 D } + 15 x _ { 4 A } + 20 x _ { 4 B } + 26 x _ { 4 C } + 28 x _ { 4 D } \\\text { s.t. } & x _ { 1 A } + x _ { 1 B } + x _ { 1 C } + x _ { 1 D } = 1 \\& x _ { 2 A } + x _ { 2 B } + x _ { 2 C } + x _ { 2 D } = 1 \\& x _ { 3 A } + x _ { 3 B } + x _ { 3 C } + x _ { 3 D } = 1 \\& x _ { 4 A } + x _ { 4 B } + x _ { 4 C } + x _ { 4 D } = 1 \\& x _ { 1 A } + x _ { 2 A } + x _ { 3 A } + x _ { 4 A } = 1 \\& x _ { 1 B } + x _ { 2 B } + x _ { 3 B } + x _ { 4 B } = 1 \\& x _ { 1 C } + x _ { 2 C } + x _ { 3 } C + x _ { 4 C } = 1 \\& x _ { 1 D } + x _ { 2 D } + x _ { 3 D } + x _ { 4 D } = 1\end{array}$$

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Definitions:

Price Controls

Government-mandated prices that are generally imposed in the form of maximum or minimum legal prices.

Political Rationing

The allocation of resources or goods among the population based on political decisions or policies rather than market forces.

Price Controls

Government-imposed limits on the prices charged for goods and services, typically aimed at controlling inflation or ensuring affordability.

Waiting Lines

Queues formed by individuals waiting to purchase goods, receive services, or participate in some activity.