Answer:
$68.44 for each additional belt
Step-by-step explanation:
The cost and revenue functions are:
The profit function, P(x), is given by subtracting the cost function from the revenue function.
The derivate of the profit function gives us the rate at which profit changes:
For x = 484, the rate of change is:
Profit is increasing by $68.44 for each additional belt
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
