A pizza shop owner determined the annual profit in dollars from selling pizzas using p(n) = 32n-0.04m², where n is the number of pizzas sold. What is the annual profit if the pizza shop owner sells 350 pizzas?

$11,186
$6,300
1,470
$11,200

1 answer

To calculate the annual profit using the given profit function \( p(n) = 32n - 0.04m^2 \), we need to know the value of \( m \) as well, since the equation includes \( m \) which seems to be a variable not defined in the context provided.

However, if we assume \( m \) to be constant or zero for the sake of this calculation, we can compute the profit for \( n = 350 \). Let's first calculate the profit using \( m = 0 \):

  1. Substitute \( n = 350 \) into the formula for \( p(n) \): \[ p(350) = 32(350) - 0.04(0)^2 \] \[ p(350) = 32(350) - 0 \] \[ p(350) = 11200 \]

So, if \( m \) is zero, the annual profit would be $11,200.

If there is a specific value for \( m \) that should be used, please provide that to give a more accurate answer.