Three decision makers have assessed utilities for the problem in the following payoff table.

$($a$)$ Plot the utility function for each decision maker. $($A payoff of $500$ was assigned a utility of $1$ and a payoff of $-400$ was assigned a utility of $0.)$

$($b$)$ Characterize each decision maker's attitude toward risk.

Decision maker A would best be described as

$($c$)$ Using the expected utility criterion which decision will each person prefer?