Find the value of x. Write your answer in simplest radical form.
1 answer:
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Answer:
The production would be 25 wheels,
Lowest average cost is $ 123.75
Step-by-step explanation:
Given cost function,
Where,
x = number of wheel,
So, the average cost per wheel,
Differentiating with respect to x,
Again differentiating with respect to x,
For maxima or minima,
For x = 25, A''(x) = positive,
i.e. A(x) is maximum at x = 25.
Hence, the production would be 25 wheels for the lowest average cost per wheel.
And, lowest average cost,
A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75
Answer: OPTION A.
Step-by-step explanation:
Given the following function:
You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.
Since it is a Quadratic function its graph is parabola.
So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.
You can find the x-coordinate of the Vertex with this formula:
In this case:
Then, substituting values, you get:
Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:
Therefore, you can conclude that:
<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>