The manager of a company uses the function shown to model its profit based on the price of a product in dollars, x.

f(x) = (x - 2)(53 - x)

f(x) = (x - 2)(53 - x)

A.) What is the minimum price,
in dollars, to avoid a loss? |
B.) What is the maximum price,
in dollars, to avoid a loss? |
C.) What is the price, in dollars, that
results in the greatest profit? |

If you use the

__graphing calculator__, you will see:**The graph of this quadratic function would be a parabola, with:**

- the x-axis representing the price of the product

- the y-axis representing the total profit- the x-axis representing the price of the product

- the y-axis representing the total profit

**A.) $22**is the minimum price to avoid a loss

*{an x-intercept where the profit is $0}*

**B.) $53**is the maximum price to avoid a loss

*{an x-intercept where the profit is $0}*

**C.) $37.50**is the price that results in the greatest profit

*{the maximum/vertex of the parabola}*

__Ask Algebra House__