The construction manager for ABC Construction must decide whether to build single family homes, apartments, or condominiums. He estimates annual profits $($in $$000)$ will vary with the population trend as follows:

Population Trend

Type Declining Stable Growing

Single Family $2009070$

Apartments $7017090$

Condos $20100220$

Prior Probability $0\mathrm{.}40\mathrm{.}50\mathrm{.}1$

If he uses the maximum likelihood criterion, which kind of dwellings will he decide to build?

Question $6$ options:

Single family

Apartments

Condos

Either single family or apartments

Either apartments or condos