Broncs Developers Inc. $($BDI$),$ is considering several alternative development projects. The financial success of these projects depends on interest rate movement in the next $5$ years. The various development projects and their $5-$year financial return $($in millions of dollars$)$ given that interest rates will decline, remain stable, and increase are shown in the following table. Probabilities for these events are estimated as $0\mathrm{.}3,0\mathrm{.}5,$ and $0\mathrm{.}2,$ respectively. Assuming that BDI will invest only in one project, determine the best investment using the following criteria:

a$.$ maximin; b$.$ maximax; c$.$ Laplace $($equally likely$)$; d$.$ maximum expected monetary value; e$.$ minimax regret; and f$.$ calculate the expected value of perfect information. Show your work. STATE YOUR DECISION IN WORDS AND CLEARLY.

INVESTMENT$$ INTEREST RATE

ALTERNATIVES$$ Decline$$ Stable$$ Increase

Office Building$151925$

Warehouse$171410$

Mall$72436$

Condominiums$32156$