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:

Endocrine

Pertains to the system of glands that release hormones directly into the bloodstream to regulate bodily functions.

Respiratory

Pertaining to the process of inhaling oxygen and exhaling carbon dioxide from the body.

Somatic Nervous System

The body system consisting of the sensory nerves, whose function is to convey information from the skin and muscles to the central nervous system about conditions such as pain and temperature, and the motor nerves, whose function is to tell muscles what to do.

Sensory Nerves

Nerves that transmit sensory information from the body's periphery towards the brain, allowing for the perception of stimuli.