ANSWER
EXPLANATION
We want to write the point-slope form of the line that passes through (6, 1) and is perpendicular to a line with a slope of -3.
The slope of this line is negative reciprocal of -3.
The point-slope form is given by:
We substitute the point and the slope to get;
Answer:
units
Step-by-step explanation:
Method 1
The given revenue function is .
We rewrite this function in the vertex form by completing the square.
.
.
We add and subtract half the coefficient of multiplied by a factor of
, which is
to get,
.
We factor out of the first two expressions again to get,
.
We now got a perfect square.
.
Therefore the maximum revenue occurs when units were sold.
Method 2
Use derivatives to find the x-value of the maximum point.
At maximum point,
.
.
.
.