Question

A pizza maker determined an annual profit in dollars

2
from selling pizzas using f(n) = 65n -0.04n² where
n is the number of pizzas sold. What is the annual
profit if the pizza maker sells 300 pizzas?

A. $18,500

B. $3,600

C. $7,800

D. $15,900

Answer 1

To calculate the annual profit for selling 300 pizzas, we substitute the value into the given function and perform the necessary arithmetic operations. The profit is found to be $15,900.

Step-by-step explanation:

To find the annual profit when the pizza maker sells 300 pizzas, we will substitute n = 300 into the profit function f(n) = 65n - 0.04n².

• First, we calculate the linear part: 65 * 300 = 19500.
• Next, we calculate the quadratic part: 0.04 * 300² = 3600.
• We then subtract the quadratic part from the linear part: 19500 - 3600 = 15900.

The annual profit for selling 300 pizzas is $15,900, which corresponds to option D.

Answer 2

Given, the annual profit equation is f(n) = 65n - 0.04n².

When the number of pizzas sold, n = 300, the annual profit will be:

f(300) = 65(300) - 0.04(300)²

= 19500 - 0.04(90000)

= 19500 - 3600

= $15,900

Therefore, the annual profit if the pizza maker sells 300 pizzas is $15,900. Answer: D.

Step-by-step explanation: