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(a) How many people have entered the park by 5:00 PM (t = 17)? Round your answer to the nearest whole number.

(b) The price of admission to the park is $15 unti 5:00PM (t = 17). After 5:00PM, the price of admission to the park is $11. How many dollars are collected from the admissions to the park on the given day? Round your answer to the nearest whole number.

(c) Let H(t) = the integral from 9 to t E(x) - L(x) dx for 9 less than or equal to t less than or equal to 23. The value of H(17) to the nearest whole number is 3725. Find the value of H^1(17), and explain hte meaning of H(17) and H^1(17) in the context of the amusement park.

(d) At what time t, for 9 less than or equal to t less than or equal to 23, does the model predict that the number of people in the park is a maximum?