Jim Must Solve a Nonlinear Optimization Problem Where Point a Should

question 5

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 a model to find the optimal location of the point A.

---

Definitions:

Adrenal Glands

Small glands located on top of each kidney; they produce hormones such as adrenaline and cortisol which help manage stress and other bodily functions.

Salty Tastes

One of the basic tastes, characterized by the presence of salt, often leading to enhancement of flavor in foods.

Corpus Callosum

The large band of neural fibers connecting the two hemispheres of the brain, facilitating interhemispheric communication.

Adrenal Gland

An endocrine organ located above the kidneys that produces hormones such as adrenaline and cortisol, which help regulate metabolism, stress response, and blood pressure.