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A Toy Manufacturer Has Three Different Mechanisms That Can Be

Question 38

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A toy manufacturer has three different mechanisms that can be installed in a doll that it sells. The different mechanisms have three different setup costs (overheads) and variable costs and, therefore, the profit from the dolls is dependent on the volume of sales. The anticipated payoffs are as follows.
 Light Demand  Moderate  Demand  Heavy Demand  Probability 0.250.450.3 Wind-up action $325,000$190,000$170,000 Pneumatic action $300,000$420,000$400,000 Electrical action $400,000$240,000$800,000\begin{array} { | l | c | c | c | } \hline & \text { Light Demand } & \begin{array} { c } \text { Moderate } \\\text { Demand }\end{array} & \text { Heavy Demand } \\\hline \text { Probability } & 0.25 & 0.45 & 0.3 \\\hline \text { Wind-up action } & \$ 325,000 & \$ 190,000 & \$ 170,000 \\\hline \text { Pneumatic action } & \$ 300,000 & \$ 420,000 & \$ 400,000 \\\hline \text { Electrical action } & - \$ 400,000 & \$ 240,000 & \$ 800,000 \\\hline\end{array}
a. What is the EMV of each decision alternative?
b. Which action should be selected?
c. What is the expected value with perfect information?
d. What is the expected value of perfect information?

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(a) Wind-up=.25*$325,000 + .45*$190,000 ...

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