LO1: Develop and Solve Nonlinear Optimization Models for Different Applications

question 71

Multiple Choice

LO1: Develop and solve nonlinear optimization models for different applications. Use the table below to answer the following questions) .
Pickson Luthiers Corporation is studying where to locate a phone charging point on the factory floor. The locations of five production cells are expressed as X- and Y-coordinates on a rectangular grid of the factory layout. The daily demand for the charging point measured as the number of trips to the charging point) at each production cell is also known. Because of the nature of the equipment layout in the factory and for safety reasons, workers must travel along marked horizontal and vertical aisles to access the charger. Thus, the distance from a cell to the charger is measured as rectilinear distance.
The table below provides the relevant information. $\begin{array}{|l|l|l|l|}\hline\text { Pickson Luthiers } \\ \text { Corporation } & \text { Phone Recharging Points } & \\\hline & & & \\\hline \text { Data } & \\\hline\\\hline \text { Cell } & X \text {-coordinate } & Y \text {-coordinate } & \text { Demand } \\\hline \text { Measurements } & 2 & 5 & 27 \\\hline \text { Paint } & 1 & 3 & 12 \\\hline \text { Electricals } & 4 & 2 & 25 \\\hline\end{array}$ $$\begin{array} { | l | l | l | l | } \hline \text { Testing } & 3.5 & 5 & 5 \\\hline \text { Packnging } & 3 & 3 & 7 \\\hline & & & \\\hline \text { Maxirnum } & 4 & 5 & \\\hline\end{array}$$ The optimal location should minimize the total weighted distance between the charging point and all production cells, where the weights are the daily number of trips to the phone charging point.
Create a nonsmooth optimization model, based on the data, to answer the following questions. Hint: Choose the closest answers.)
-According to the model, which of the following is the weighted distance between the phone charger and Measurements cell?

• A) 12.00
• B) 75.00
• C) 7.00
• D) 54.00

---

Definitions:

Strategic Leader

A person who has the ability to influence others to voluntarily make decisions that enhance the prospects for the organization's long-term success while maintaining short-term financial stability.

Optimum Allocation

The process of distributing resources in the most efficient manner to achieve the highest possible returns or outcomes.

Subordinates

Employees or team members who are lower in rank or position and report to a superior.

Porter's Model

A strategic tool developed by Michael Porter used to analyze an industry's structure and competition intensity through five forces: threat of new entrants, bargaining power of suppliers, bargaining power of buyers, threat of substitute products, and competitive rivalry.