If the county board approves a request to rezone the property as commercial within the next year, the investor will be able to lease the land to a large discount firm that wants to open a new store on the property. However, if the zoning change is not approved, the investor will have to sell the property at a loss. Profits (in thousands o dollars) are shown in the following payoff table: State of Nature {:[" Rezoning "],[" Approved "]:} {:[" Rezoning Not "],[" Approved "]:} {:[" Decision "],[" Alternative "]:} S_(1) S_(2) Purchase, d_(1) 550 -170 {:[" Do not purchase, "],[d_(2)]:} 0 0 a. If the probability that the rezoning will be approved is 0.5 , what decision is recommended? What is the expected profit?