A company's revenue from selling x units of an item is given as R=2000x−3x^2. If sales are increasing at the rate of 50 units per day, how rapidly is revenue increasing (in dollars per day) when 110 units have been sold?

2 answers

dR/dt = (2000 - 6x) dx/dt
now plug in your numbers
given :
dx/dt = 50
R = 2000x - 3x^2
dR/dt = 2000 dx/dt - 6x dx/dt , so when x = 110
dR/dt = 2000(110) - 6(110)(50)
= .....

make sure to include the units in your answer, I skipped them for simpler typing