After how many hours will the hourly number of units be maximized?

HB09

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The daily output of a factor during an 8-hour shift shows that the hourly number of units y produced after t hours of production is y=70+t1/2t^2-t^3

After how many hours will the hourly number of units be maximized?
What is the maximum hourly output?

Final problem I need to do for this clas!
 
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The daily output of a factor during an 8-hour shift shows that the hourly number of units y produced after t hours of production is y=70t_1/2t^2-t^3

After how many hours will the hourly number of units be maximized?
What is the maximum hourly output?

Final problem I need to do for this clas!
I don't think this is correct!

Please check/edit and post YOUR work.
 
The daily output of a factor during an 8-hour shift shows that the hourly number of units y produced after t hours of production is y=70+t1/2t^2-t^3

After how many hours will the hourly number of units be maximized?
What is the maximum hourly output?

Final problem I need to do for this clas!

I do not think it is correct yet!

What is t1? contrasted to t .

What you wrote - can be translated to:

y = 70 + [t1/2t^2] - t^3

or did you mean:

\(\displaystyle y = \frac{70 + t1}{2t^2 - t^3}\)

or something else?
 
I do not think it is correct yet!

What is t1? contrasted to t .

What you wrote - can be translated to:

y = 70 + [t1/2t^2] - t^3

or did you mean:

\(\displaystyle y = \frac{70 + t1}{2t^2 - t^3}\)

or something else?

the t is after the 1/2 not part of the 2

Your right im sorry y=70t+1/2t^2-t^3
 
the t is after the 1/2 not part of the 2

Your right im sorry y=70t+1/2t^2-t^3

Please use parentheses () to explain your equation.

At this point your equation reads:

y = 70*t + (1/2) * t^2 - t^3

Is that correct?
 
So yes I think the way you wrote it is correct!!!!
The daily output of a factor during an 8-hour shift shows that the hourly number of units y produced after t hours of production is y = 70*t + (1/2) * t^2 - t^3

After how many hours will the hourly number of units be maximized?
What is the maximum hourly output?

Now then:

Please share your work on this problem.

What have you learned about calculating maxima/minima of a function?

Where exactly are you stuck with this problem?

What are your thoughts?
 
The daily output of a factor during an 8-hour shift shows that the hourly number of units y produced after t hours of production is y = 70*t + (1/2) * t^2 - t^3

After how many hours will the hourly number of units be maximized?
What is the maximum hourly output?

Now then:

Please share your work on this problem.

What have you learned about calculating maxima/minima of a function?

Where exactly are you stuck with this problem?

What are your thoughts?

Yes we have learned max and min. We have not had any problems formatted like this one before though so I feel confused about the formula to set it up in
 
Yes we have learned max and min. We have not had any problems formatted like this one before though so I feel confused about the formula to set it up in

What is the condition that must be satisfied for maxima or minima (local)?
 
Yes we have learned max and min. We have not had any problems formatted like this one before though so I feel confused about the formula to set it up in
What do you mean, specifically, by "formatted like this one"? Where, specifically, are you bogging down in the max/min process?

Thank you! ;)
 
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