A pizza shop owner determined the annual profit in dollars from selling pizzas Using p(n)=32n -0.04n^2,Where n is the number of pizzas sold what 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 substitute \( n = 350 \) into the profit function \( p(n) = 32n - 0.04n^2 \).

Let's calculate it step by step:

1. Substitute \( n = 350 \) into the profit function: \[ p(350) = 32(350) - 0.04(350^2) \]

2. Calculate \( 32(350) \): \[ 32 \times 350 = 11200 \]

3. Calculate \( 350^2 \): \[ 350^2 = 122500 \]

4. Calculate \( 0.04(350^2) \): \[ 0.04 \times 122500 = 4900 \]

5. Now, substitute these results back into the profit function: \[ p(350) = 11200 - 4900 \]

6. Finally, calculate \( p(350) \): \[ p(350) = 6300 \]

Thus, the annual profit if the pizza shop owner sells 350 pizzas is $6300.