Answer:
a) The demand function is

b) The nightly revenue is

c) The profit function is

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Step-by-step explanation:
a) Lets find the slope s of the demand:

Since the demand takes the value 79 in 7, then

b) The nightly revenue can be found by multiplying q by p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
The tank fills to 16 gallons of water as a maximum. After that it would start overflowing.
Answer:
false
Step-by-step explanation:
Answer: 3 or the whole backyard
Step-by-step explanation: In a hour she can rack 3 backyard. The question asked that how much of a backyard can she rake in 1 hour. She can rake the whole backyard in a hour.
180 - 70 = 110
110 - 35 = 75
The third angle is 75