Question

The Bluebird Bakery sells more cookies when it lowers its​ prices, but this also changes profits. The profit function for the cookies is f(x)=-500(x-0.45)^2+400. This function represents the profit earned when the price of a cookie is x dollars. The bakery wants to maximize its profits. Complete parts a to d below.

Answer 1

Answer:

a. x≥0, cannot be negitive, price of cookie

b. 398.75 for .40c cookies, 355 for .75c cookies

c. .45

d. 400

Step-by-step explanation:

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Answer 2

Using the vertex of the quadratic equation, it is found that the the profit is maximized with a unit price of $0.45.

The equation of a parabola of vertex (h,k) is given by:

$f(x) = a(x - h)^2 + k^2$

If a < 0, the maximum value is of k at x = h.

In this problem, the quadratic equation is:

$f(x) = -500(x - 0.45)^2 + 20^2$

The unit price is x, thus, since h = 0.45, the the profit is maximized with a unit price of $0.45.

A similar problem is given at https://brainly.com/question/13799721