Miles is considering buying a new pickup truck for his lawn service firm. The economy in town seems to be growing, and he is wondering whether he should opt for a subcompact, compact, or full-size pickup truck. The smaller truck would have better fuel economy, but would sacrifice capacity and some durability. A friend at the Bureau of Economic Research told him that there is a 30% chance of lower gas prices in his area this year, a 20% chance of higher gas prices, and a 50% chance that gas prices will stay roughly unchanged. Based on this information, Miles has developed a decision table that indicates the profit amount he would end up with after a year for each combination of truck and gas prices.
$$\begin{array} { | l | c | c | c | }
\hline & { \text { States of Nature } } \
\hline \text { Alternatives } & \text { Lower gas prices } & \text { Gas prices unchanged } & \text { Higher gas prices } \
\hline \text { probability } & .3 & .5 & .2 \
\hline \text { Subcompact } & 16,000 & 21,000 & 23,000 \
\hline \text { Compact } & 15,000 & 20,000 & 22,000 \
\hline \text { Full size } & 18,000 & 19,000 & 6,000 \
\hline
\end{array}$$
Calculate the expected monetary value for each decision alternative. Which decision yields the highest EMV?

Question

Miles is considering buying a new pickup truck for his lawn service firm. The economy in town seems to be growing, and he is wondering whether he should opt for a subcompact, compact, or full-size pickup truck. The smaller truck would have better fuel economy, but would sacrifice capacity and some durability. A friend at the Bureau of Economic Research told him that there is a 30% chance of lower gas prices in his area this year, a 20% chance of higher gas prices, and a 50% chance that gas prices will stay roughly unchanged. Based on this information, Miles has developed a decision table that indicates the profit amount he would end up with after a year for each combination of truck and gas prices.
 $$\begin{array} { | l | c | c | c | } 
\hline &  { \text { States of Nature } } \
\hline \text { Alternatives } & \text { Lower gas prices } & \text { Gas prices unchanged } & \text { Higher gas prices } \
\hline \text { probability } & .3 & .5 & .2 \
\hline \text { Subcompact } & 16,000 & 21,000 & 23,000 \
\hline \text { Compact } & 15,000 & 20,000 & 22,000 \
\hline \text { Full size } & 18,000 & 19,000 & 6,000 \
\hline
\end{array}$$ 
Calculate the expected monetary value for each decision alternative. Which decision yields the highest EMV?

Quizplus · Accepted Answer

The Answer of Miles is considering buying a new pickup truck for his lawn service firm. The economy in town seems to be growing, and he is wondering whether he should opt for a subcompact, compact, or full-size pickup truck. The smaller truck would have better fuel economy, but would sacrifice capacity and some durability. A friend at the Bureau of Economic Research told him that there is a 30% chance of lower gas prices in his area this year, a 20% chance of higher gas prices, and a 50% chance that gas prices will stay roughly unchanged. Based on this information, Miles has developed a decision table that indicates the profit amount he would end up with after a year for each combination of truck and gas prices.
 $$\begin{array} { | l | c | c | c | } 
\hline &  { \text { States of Nature } } \
\hline \text { Alternatives } & \text { Lower gas prices } & \text { Gas prices unchanged } & \text { Higher gas prices } \
\hline \text { probability } & .3 & .5 & .2 \
\hline \text { Subcompact } & 16,000 & 21,000 & 23,000 \
\hline \text { Compact } & 15,000 & 20,000 & 22,000 \
\hline \text { Full size } & 18,000 & 19,000 & 6,000 \
\hline
\end{array}$$ 
Calculate the expected monetary value for each decision alternative. Which decision yields the highest EMV?

Miles Is Considering Buying a New Pickup Truck for His