The revenue R (in dollars) generated by the sale of x units of a digital camera is given by $( x - 145 ) ^ { 2 } = - \frac { 5 } { 7 } ( R - 29,435 )$ .Approximate the number of sales that will maximize revenue.
A)Maximum revenue occurs at $x = 4,205$ units.
B)Maximum revenue occurs at $x = 406$ units.
C)Maximum revenue occurs at $x = 145$ units.
D)Maximum revenue occurs at $x = 29,435$ units.
E)Maximum revenue occurs at $x = 21,025$ units.

Question

The revenue R (in dollars) generated by the sale of x units of a digital camera is given by $( x - 145 ) ^ { 2 } = - \frac { 5 } { 7 } ( R - 29,435 )$ .Approximate the number of sales that will maximize revenue. 
A)Maximum revenue occurs at $x = 4,205$ units.
B)Maximum revenue occurs at $x = 406$ units.
C)Maximum revenue occurs at $x = 145$ units.
D)Maximum revenue occurs at $x = 29,435$ units.
E)Maximum revenue occurs at $x = 21,025$ units.

Quizplus · Accepted Answer

The equation is in the form of a parabola, and the vertex of this parabola gives the maximum revenue point. The x-coordinate of the vertex is directly given as $x = 145$, which is where the maximum revenue occurs.

The Revenue R (In Dollars) Generated by the Sale of X