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.
The table below indicates the revenue that Miles can make based on which pickup truck he buys in each of the different states of nature.

States of Nature
Lower gas prices Gas prices unchanged Higher gas prices
Probability 0.2 0.3 0.5
Alternatives
Subcompact 23,000 16,000 21,000
Compact 22,000 15,000 20,000
Full size 6,000 18,000 19,000

a. Based on the Maximin principle what decision should Miles make? (7 points)
b. Based on the Maximax principle what decision should Miles make? (7 points)
c. Based on the EMV principle what decision should Miles make? (8 points)
d. What should Miles be willing to pay for perfect information about which state of nature will prevail? (8 points)