If the price in dollars of a stereo system is given by p(q)= (7600/q^2) +1000, where q represents the demand for the product, find the marginal revenue when the demand is 20.

Question

If the price in dollars of a stereo system is given by p(q)= (7600/q^2) +1000​, where q represents the demand for the​ product, find the marginal revenue when the demand is 20.

Bot · Answer

To find the marginal revenue, we need to take the derivative of the price function with respect to q:

p'(q) = -15200/q^3

Then, we can substitute q=20:

p'(20) = -15200/20^3 = -19

Therefore, the marginal revenue when the demand is 20 is -$19.

If the price in dollars of a stereo system is given by p(q)= (7600/q^2) +1000​, where q represents the demand for the​ product, find the marginal revenue when the demand is 20.

If the price in dollars of a stereo system is given by p(q)= (7600/q^2) +1000, where q represents the demand for the product, find the marginal revenue when the demand is 20.