a pizza shop owner determined the annual profit in dollars from selling pizza using p (n) = 32n - 0.04n^2, where n is the numbers of pizzas sold. What is the annual profit if the pizza shop owner sells 350 pizzas

Answer 1

To find the annual profit when the pizza shop owner sells 350 pizzas, we can use the profit function \( p(n) = 32n - 0.04n^2 \).

Substituting \( n = 350 \) into the equation:

\[ p(350) = 32(350) - 0.04(350^2) \]

Calculating \( 32(350) \):

\[ 32 \times 350 = 11200 \]

Now calculating \( 0.04(350^2) \):

First, find \( 350^2 \):

\[ 350^2 = 122500 \]

Then calculate \( 0.04 \times 122500 \):

\[ 0.04 \times 122500 = 4900 \]

Now, substitute these values back into the profit function:

\[ p(350) = 11200 - 4900 \]

Calculating the final profit:

\[ p(350) = 6300 \]

Therefore, the annual profit if the pizza shop owner sells 350 pizzas is \( \boxed{6300} \) dollars.