SCENARIO 5-12
Two Different Designs on a New Line of Winter

question 339

Short Answer

SCENARIO 5-12
Two different designs on a new line of winter jackets for the coming winter are available for your
manufacturing plants. Your profit (in thousands of dollars) will depend on the taste of the consumers
when winter arrives. The probability of the three possible different tastes of the consumers and the
corresponding profits are presented in the following table. $$\begin{array} { | c | c | r | r | } \hline \text { Probability } & \text { Taste } & \text { Design A } & \text { Design B } \\\hline 0.2 & \text { more conservative } & 180 & 520 \\\hline 0.5 & \text { no change } & 230 & 310 \\\hline 0.3 & \text { more liberal } & 350 & 270 \\\hline\end{array}$$
-Referring to Scenario 5-12, if you decide to choose Design A for 70% of the production lines and
Design B for the remaining production lines, what is the coefficient of variation of your
investment?

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Definitions:

Average Run Length

In statistical process control, it is the expected number of samples taken until a control chart signals a possible shift in process parameters.

Control Chart

A tool used in process control to monitor, control, and identify the stability of a process over time.

Process

A series of actions or steps taken in order to achieve a particular end.

Statistical Process Control

A method used to monitor, control, and ensure the quality of processes by using statistical methods.