If the profit in $ per day resulting for the sales of x units of a good is P(x) = 27.5x + 0.0175x^2 - 53. Find the marginal profit when the sales level x is 48 units per day.

Question

amistre64 · Answer

just plug in 48 for "x" in the equation

amistre64 · Answer

or is it looking for the slope of the graph at x = 48?  if so take the derivative

anonymous · Answer

Yes it's using the derivative.

amistre64 · Answer

marginal is additional profit, the rate of change of profit sounds apt..

anonymous · Answer

Can you explain a bit more cause this is tricking me up.

amistre64 · Answer

you got the derivative yet?

amistre64 · Answer

27.5 +.03x right?

amistre64 · Answer

.035x  sounds better eh

anonymous · Answer

:-)

amistre64 · Answer

29.18 is what the calulator spits out ;)

amistre64 · Answer

profit is increasing at a rate of 29.18 at 48 units

anonymous · Answer

Going back over my working now to see if I get the same as you.  
Thanks for your help again.

amistre64 · Answer

youre welcome