A cookie store's weekly profit is a function of the number of cookies , c, that it sells . The equation approximating the weekly profit , in dollars , is
f( c)=0.60c-900
Which of the following is a false statement about the weekly profits ?

Options

A. The store needs to sell 1,500 cookies per week to break even (i.e., make neither a profit nor a less).
B. If the store sells no cookies in a week , it will lose $900.
C. If the equation for weekly profit was f(c )=0.40c-900, the store would need to sell fewer cookies than for the original equation in order to break even.
D. if the equation for weekly profit is f(c ) =0.60c-800 , the store would need to sell fewer cookies than for the original equation in order to break even.

Answer

To solve the problem, we need to analyze the weekly profit function given by \( f(c) = 0.60c - 900 \) and determine which statement about the weekly profits is false.

### Step 1: Determine the break-even point
To find the break-even point, we set the profit function equal to zero:
\[ f(c) = 0 \]
This gives us the equation:
\[ 0.60c - 900 = 0 \]