Asked by Billy the Goat

Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R9x) and C9x) are in dollars.
R(x)=60x-0.5x^2
C(x)=5x+15
x=30 and dx/dt=20 units per day
Answered by Reiny
Profit(x) = R(x) - C(x)
= 60x - .5x^2 - 5x - 15 = -.5x^2 + 55x - 15
dPdt (x) = -x dx/dt+ 55
= -30(20) + 55
= .....
Answered by Billy the Goat
Correct answer 600
Answered by Billy the Goat
rate of change of total revenue is 600
rate of change of total cost is 100
rate of change of total profit is 500
Answered by Steve
well, what is P?

That is the rate you are calculating.
Answered by Steve
Hmm. Ignore my previous comment. Still, if the functions are as given, Reiny's answer appears correct. Are there mis-types somewhere?
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