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

Essay

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, what is the total variance of the profit if you increase the shift of your
production lines and choose to produce both designs?