Answer:
The vertex, a maximum, is (25, 2400). It reveals that the maximum profit will result when the tickets are $25, and then the profit will be $2400.
Explanation:
p(d) = -4d² + 200d - 100
Comparing it with quadratic function, ax² + bx² + c
Here given: a = -4, b = 200, c = -100
Using Vertex Formula: x = -b/2a = -200/2(-4) = 25
Then find y = -4(25)² + 200(25) - 100 = 2400
Solution Set : (x, y) → (25, 2400)
As a > 0, the vertex is maximum.
