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

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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!
 
Last edited:
HB09 said:
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!
Click to expand...
I don't think this is correct!

Please check/edit and post YOUR work.
 
HB09 said:
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!
Click to expand...

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?
 
Subhotosh Khan said:
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?
Click to expand...

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

Your right im sorry y=70t+1/2t^2-t^3
 
HB09 said:
the t is after the 1/2 not part of the 2

Your right im sorry y=70t+1/2t^2-t^3
Click to expand...

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?
 
HB09 said:
So yes I think the way you wrote it is correct!!!!
Click to expand...
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?
 
Subhotosh Khan said:
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?
Click to expand...

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
 
HB09 said:
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
Click to expand...

What is the condition that must be satisfied for maxima or minima (local)?
 
HB09 said:
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
Click to expand...
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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