The Happy Hound Haven Company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x)= 625+.03x+.0001x^2. Approximate the change in revenue from the sale of one more doghouse when 1000 doghouese are sold. (make sure to do this using derivatives)
Am I correct?
The derivative is
R'(x) = 0.03+0.002x,
Which approximates the change in revenue from the sale of one more doghouse when x doghouses are sold, therefore if x=1000,
R'(1000)=0.03+2=2.03, which is what we want.
Please check this answer, I think the derivative was taken incorrectly and should be R'(x)=0.3+ 0.0002
Hi there. Thanks for posting your question to Brainmass.
The derivative of f(x)=x^n ...
A change in revenue problem is solved using a derivative.