Draw the Network for This Assignment Problem

question 28

Essay

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

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Definitions:

Indirect Approach

A communication strategy that uses suggestions, implications, or subtlety rather than direct statements or instructions.

Negative Information

Data or facts that present an unfavorable or adverse situation.

Intuitive Approach

A method or strategy that is easy to understand and use, often because it feels natural or obvious.

Ethics

The branch of philosophy that deals with questions about morality, including the concepts of right and wrong, justice, virtue, and the good life.