The construction manager for Acme Construction, Inc. must decide whether to build single$-$family homes, apartments, or condominiums. The manager estimates annual profits $($in $$000)$ will vary with the population trend as follows: TypePOPULATION TRENDDecliningStableGrowingSingle Family$2009070$Apartments$7017090$Condos$-20100220$If the chances of declining, stable, and growing population trends are $40\%,50\%,$ and $10\%,$ respectively, what is the expected value of perfect information?Question $1$ options:$$65,000$$$55,000$$$45,000$$$132,000$$$187,000$