Question

Bailee is the owner of a new cookie cake company. She wants to determine the price at which to sell her cookies in order to make a profit. The function
models the profit the cookie cake company makes, where
is the cost per cookie cake.

Complete the statements.
Bailees company will maximize profit when she sells the cookie cakes for Response area per cake. The vertex form of
is
Response area.

Answer 1

To provide a complete response to your request, it seems that there are missing elements in your question, including the profit function and details about how you want to determine the selling price.

However, I can outline how you can complete the statements based on general knowledge of profit maximization and quadratic functions.

1. **Profit and Price Relationship**: The profit function typically has the general form of a quadratic equation, such as:
\[
P(x) = ax^2 + bx + c
\]
Here, \(P(x)\) represents the profit, and \(x\) may denote the price per cookie cake. The vertex of this quadratic function would provide the price at which the profit is maximized.

2. **Vertex Form**: The vertex form of a quadratic function is:
\[
P(x) = a(x - h)^2 + k
\]
Where \((h, k)\) is the vertex of the parabola, and \(h\) is the price that maximizes the profit. In this case, \(h\) would be the optimum selling price.

Now, completing the statements:

- "Bailee's company will maximize profit when she sells the cookie cakes for **\(h\)** per cake."
- "The vertex form of **\(P(x)\)** is **\(a(x - h)^2 + k\)**."

Please provide the specific profit function or additional details for a more accurate response!