Express revenue as a function of q; call this function R(q).

Question

P=D(q)=500qe^-.0016q^2

p- price in dollars q- quantity

Answer 1

Revenue is the price function times the quantity (q). So the revenue function would be as follows: R(q) = p*q. Since the price function is given simply multiply the given price function by q: R(q)=(500qe^(-0016q^2))q After distributing q: R(q)=500(q^2)e^(-.0016q^2).