Answer:
400 villas
Step-by-step explanation:
Since R(x)=200x−0.25x2 is a quadratic function with a negative leading coefficient, it represents a parabola opening downward. So its vertex will be the maximum of the function. If the coefficients are labeled, we have a=−0.25, b=200, and c=0. Then the vertex is found as follows.
x=−b/2a=−200/2(−0.25)=400
Therefore, maximum revenue will be attained when 400 villas are booked.
