Jim Must Solve a Nonlinear Optimization Problem Where Point a Should

question 49

Essay

Jim must solve a nonlinear optimization problem where point A should be within a radius of 15 centimeters from each of the points B, C, D, E and F. The decision variables are defined as below.
X = horizontal coordinate of point A
Y = vertical coordinate of point A
The data on the distances is given below: $$\begin{array} { c | c | c } & \begin{array} { c } \text { Horizontal } \\\text { Coordinate }\end{array} & \begin{array} { c } \text { Vertical } \\\text { Coordinate }\end{array} \\\hline \text { B } & 9 & 11 \\\text { C } & 14 & 18 \\\text { D } & 18 & 22 \\\text { E } & 13 & 16 \\\text { F } & 17 & 21\end{array}$$ Formulate and solve a model that minimizes the maximum distance from point A to each of the points B, C, D, E, and F. Round all your answers to three decimal places.

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Definitions:

Defense Mechanism

Psychological strategies brought into play by individuals, groups, or even nations to cope with reality and to maintain self-image.

Distorts Reality

A cognitive bias or psychological state where an individual's perception of reality is significantly altered from the actual state of the world.

Complex

In psychology, a related group of emotionally significant ideas that are completely or partly repressed and cause psychic conflict leading to abnormal mental states or behavior.

Oedipus Complex

A concept in psychoanalytic theory referring to a child's unconscious sexual desire for the opposite-sex parent and jealousy toward the same-sex parent.