Profit(x) = R(x) - C(x)
= 60x - .5x^2 - 5x - 15 = -.5x^2 + 55x - 15
dPdt (x) = -x dx/dt+ 55
= -30(20) + 55
= .....
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
5 answers
Correct answer 600
rate of change of total revenue is 600
rate of change of total cost is 100
rate of change of total profit is 500
rate of change of total cost is 100
rate of change of total profit is 500
well, what is P?
That is the rate you are calculating.
That is the rate you are calculating.
Hmm. Ignore my previous comment. Still, if the functions are as given, Reiny's answer appears correct. Are there mis-types somewhere?