Social Anxiety Support

valley_girl1919 · 10-19-2009, 07:52 PM

my problem is this --> a local company has determined that the daily cost of producing x units can be modeled by C(x)= 4000 + 50x +.002x^2 ( 0 is less than or equal to x and less than or equal to 1000) where x represents the number of units produced each day and c(x) is the total cost in dollars. at what production level is the cost minimized? what is the total cost at this level?

Zephyr · 10-19-2009, 08:22 PM

For this kind of question you'd have to take the derivative and solve for zero, since the function would be a parabola opening upward. Setting the derivative equal to zero and solving for x shows you where the slope of the parabola would be zero, which would be at its minimum point. Having got that value for x (the production level where cost is minimized) you'd plug that number back into the original function to get the cost.

Does that make sense?

Do you have the function written down right? Should something be a minus rather than a plus? Because the way it's written there, C(x) would just increase as x increases, as long as x is positive. If that's correct, then C(x) will never be less than 4000, which occurs when x=0.

mind_games · 10-19-2009, 08:44 PM

Yeah something is not quite right, there oughta be a negative sign in there somewhere.

mind_games · 10-19-2009, 08:54 PM

nvm

10-19-2009, 07:52 PM	#1 (permalink)
valley_girl1919 Status: SAS Member Join Date: Jun 2007 Location: alabama Gender: Female Posts: 360	Can anyone help me with this calculus question my problem is this --> a local company has determined that the daily cost of producing x units can be modeled by C(x)= 4000 + 50x +.002x^2 ( 0 is less than or equal to x and less than or equal to 1000) where x represents the number of units produced each day and c(x) is the total cost in dollars. at what production level is the cost minimized? what is the total cost at this level?

10-19-2009, 08:22 PM	#2 (permalink)
Zephyr Status: gone Join Date: Nov 2003 Posts: 9,579	For this kind of question you'd have to take the derivative and solve for zero, since the function would be a parabola opening upward. Setting the derivative equal to zero and solving for x shows you where the slope of the parabola would be zero, which would be at its minimum point. Having got that value for x (the production level where cost is minimized) you'd plug that number back into the original function to get the cost. Does that make sense? Do you have the function written down right? Should something be a minus rather than a plus? Because the way it's written there, C(x) would just increase as x increases, as long as x is positive. If that's correct, then C(x) will never be less than 4000, which occurs when x=0. __________________

10-19-2009, 08:44 PM	#3 (permalink)
mind_games Status: dances, like a fridge Join Date: Nov 2008 Age: 23 Posts: 1,570	Yeah something is not quite right, there oughta be a negative sign in there somewhere. __________________ "this is not me, this is me reacting to your perception of me"

10-19-2009, 08:54 PM	#4 (permalink)
mind_games Status: dances, like a fridge Join Date: Nov 2008 Age: 23 Posts: 1,570	nvm __________________ "this is not me, this is me reacting to your perception of me"