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

question 261

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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.  Probability  Taste  Design A  Design B 0.2 more conservative 1805200.5 no change 2303100.3 more liberal 350270\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?


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