Math Is Fun Forum

nycguitarguy

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 614

Maximum Average Cost

The maximum average cost per hour in dollars, C bar, of producing x riding lawn mowers can be modeled by the function

C bar = 0.3x^2 + 21x - 251 + (2500/x)

A. Graph C bar = C bar (x)

B. Determine the number of riding lawn mowers to produce in order to minimize average cost.

C. What is the minimum average cost?

Note:

1. There is a bar over C. This is why I say C bar here.

2. Do not use calculus.

3. Can someone graph this function for me here?

4. I seek the steps for B and C.

Last edited by nycguitarguy (2024-03-23 05:28:58)

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The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.

Dr. David Jeremiah

Bob

Administrator

Registered: 2010-06-20

Posts: 10,236

Re: Maximum Average Cost

You can see the minimum. B is just the x value at that point and y is the cost at the minimum.

Bob

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nycguitarguy

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 614

Re: Maximum Average Cost

https://i.imgur.com/Z1NtBFh.png

You can see the minimum. B is just the x value at that point and y is the cost at the minimum.

Bob

The say B = 10 riding lawn mowers per hour.

I say C = y coordinate at the point that = 10 for x.
I say about $239....

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The Rapture is the central event in biblical prophecy. The greatest truth about the Rapture is not its timing but it's reality. The Rapture will be the great disappearance.

Dr. David Jeremiah