Chapter 6.4, Problem 4YT

Repeat Example 5 using the daily demand function given by $p=2000-\frac{q^2}{100}$.

EXAMPLE 5 Revenue

A company is increasing production of peanuts at the rate of 50 cases per day. All cases produced can be sold. The daily demand function is given by

$p=50-\frac{q}{200}$, where q is the number of units produced )and sold) and p is price in dollars. (Even though the quality that consumers demand depends on the selling price, economists write the price as a function of the quality.)Find the rate of change of revenue with respect to time (in days) when the daily production is 200 units.