Asked by brittany
Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars.
R(x)= 55x - 0.5x^2 , C(x)=5x + 20, when x=40 and dx/dt=30 units per day
1. The rate of change of total revenue is $? per day.
2. Find total cost with respect to time.
3. Find total profit with respect to time.
R(x)= 55x - 0.5x^2 , C(x)=5x + 20, when x=40 and dx/dt=30 units per day
1. The rate of change of total revenue is $? per day.
2. Find total cost with respect to time.
3. Find total profit with respect to time.
Answers
Answered by
oobleck
dR/dt = (55 - x) dx/dt
dC/dt = 5 dx/dt
P=R-C, so dP/dt = (50-x) dx/dt
See what you can do with that.
dC/dt = 5 dx/dt
P=R-C, so dP/dt = (50-x) dx/dt
See what you can do with that.
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