#16. A pizza maker determined an annual profit in dollars from selling pizzas using fn=65n−0.04n2where n is the number of pizzas sold. What is the annual profit if the pizza maker sells 300 pizzas?

Answer 1

To determine the annual profit when the pizza maker sells 300 pizzas using the given profit function \( f(n) = 65n - 0.04n^2 \), where \( n \) is the number of pizzas sold, we substitute \( n = 300 \) into the function and calculate the profit.

\[ f(300) = 65(300) - 0.04(300)^2 \]

Let's break this calculation into steps:

1. Calculate \( 65 \times 300 \):

\[ 65 \times 300 = 19500 \]

2. Calculate \( 0.04 \times 300^2 \):

First, find \( 300^2 \):

\[ 300^2 = 300 \times 300 = 90000 \]

Then, multiply this by 0.04:

\[ 0.04 \times 90000 = 3600 \]

3. Subtract the value obtained in step 2 from the value obtained in step 1:

\[ 19500 - 3600 = 15900 \]

Thus, the annual profit when the pizza maker sells 300 pizzas is:

\[ \boxed{15900} \]