You operate a tour service that offers the following rates:
$200 per person if 50 people ( the minimumn number to book the tour) go on the tour.
For each addiational person up to a maximum of 80 people total, the rate per person is reduced by $2.
It costs $6000 (a fixed cost) plus $32 per person to conduct the tour. How many people does it take to maximize the profit?
I know profit= revenue- cos
I also know cost= 6000 - 32x.
But I don't know the revenue in an equation. From there, I think I can take t what is the revenue?
Suppose that at any time t (sec) the current i (amp) in an alternating current circuit is i = 2 cost t + 2 sin t.
What is the peak (largest magnitude) current for this circuit?
I know the derivate is .
I have no idea what to do next though.