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 prot model given by P(x] = 7x2 + 1148)! 19100 Where): represents the number of apartments rented in a month and P(x} is in dollars. (a) Assuming Mt. Nittany Property Management Company manages 10!] apartments, nd the number of apartments they should rent out each month to maxlmize prots and calculate their maximum monthly prots. Number of apartments = :I Maximum monthly prot = :I dollars (b) Assuming Happy Valley Rentals manages 50 apartments, nd the number of apartments they should rent out each month to maximize prots and calculate their maximum monthly prots. Number of apartments = :l Maximum monthly prots : |:| dollars