Answer:
The hotel should charge $201 per day in order to maximize profit
Explanation:
According to the given data we have the following:
The number of occupied rooms is 300-x, and x vacant rooms.
Hence, The revenue R(x) = (300-x) * ($80 + x), the number of occupiedrooms times the charge per room.
The cost C(x) = (300-x) * $22.
Therefore, The profit P(x) = R(x)-C(x) = (300-x) (58 + x) = 17400 + 242 x -x^2.
P'(x) = 242 - 2x.
Critical point: x= 121.
So Charge = $80 + x = $80 + $121 = $201
The hotel should charge $201 per day in order to maximize profit
Answer:
5. They are all neccessary
