The revenue R from the sale of x cameras is given by $R = 65 x - x ^ { 2 }$ . The cost C of producing x cameras is given by $C = 91 + 45 x$ . How many cameras must be produced and sold in order to break even?
A)7 cameras
B)8 cameras
C)10 cameras
D)15 cameras
E)19 cameras

Question

Quizplus · Accepted Answer

To find the break-even point, set the revenue equal to the cost: $65x - x^2 = 91 + 45x$. Rearrange to get $x^2 - 20x + 91 = 0$. Solving this quadratic equation, we find that $x = 7$ or $x = 13$. However, only $x = 7$ is listed as an option, making it the correct choice for the break-even point in terms of the number of cameras produced and sold.

The Revenue R from the Sale of X Cameras Is R=65x−x2R = 65 x - x ^ { 2 }R=65x−x2

The Revenue R from the Sale of X Cameras Is $R = 65 x - x ^ { 2 }$