Mt. Nittany Property Management Company and Happy Valley Rentals are two different businesses that manage numerous apartments around town. Both companies use the same monthly profit model given by P(x)=10x2+1360x20300 where x represents the number of apartments rented in a month and P(x) is in dollars. (a) Assuming Mt. Nittany Property Management Company manages 100 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits. Number of apartments = Maximum monthly profit = dollars (b) Assuming Happy Valiey Rentals manages 50 apartments, find the number of apartments they should rent out each month to maximize profits and calcufate their maximum monthly profits. Number of apartments = MYximum monthly profits = dollars