Knoebels Amusement Park in​ Elysburg, Pennsylvania, charges a​lump-sum fee,​ L, to enter its Crystal Pool. It also charges p pertrip down a slide on the​ pool's water slides. Suppose that 450teenagers visit the​ park, each of whom has a demand function ofq1=6-​p, and that 300 seniors also​ vist, each of whom has a demandfunction of q2=5-p. ​ Knoebels's objective is to set L and p so asto maximize its profit given that it has no​ (non-sunk) cost andmust charge both groups the same prices. The optimal L and pare L=$ --- p=$--- Enter numeric responses using real numbersrounded to three decimal​ places.