Question

The totai revenue for Dante's Villas is given as the function R(x)=300x−0.5x², Where x is the number or villas nilied. What number of villas filled produces the maximum revenue?

Answer 1

To find the number of villas filled that produces the maximum revenue, we need to find the vertex of the quadratic function.

Step-by-step explanation:

The function for the total revenue of Dante's Villas is given as:

R(x) = 300x - 0.5x²

To find the number of villas filled that produces the maximum revenue, we need to find the vertex of the quadratic function.

The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a is the coefficient of x² and b is the coefficient of x.

In this case, a = -0.5 and b = 300.

Substituting these values into the formula, we get:

x = -300/(2*(-0.5)) = -300/(-1) = 300

Therefore, the number of villas filled that produces the maximum revenue is 300.