Math $110$ Course Resources

Optimization Course Packet $on$ applications: Maximizing profit

$P(x)=-12x^2+1776x-19800$

where $x$ represents the number $of$ apartments rented $in$ a month and $P(x)isin$ dollars.

Number $of$ apartments $=$

Maximum monthly profit $=42336$dollars

$(b)$ Assuming Happy Valley Rentals manages $50$ apartments, find the number $of$ apartments they should rent out each month $to$ maximize profits and calculate their maximum monthly profits.

Number $of$ apartments $=1$

Maximum monthly profits $=$

dollars