Chapter 2, Problem 54RE

Business: total revenue, cost, and profit. Find the rates of change, with respect to time, of total revenue, cost, and profit for.

$R\left(x\right)=120x-0.5x^2\text{and }C\left(x\right)=15x+6,$

$\text{when }x=100\text{and}dx\text{/}dt=30\text{ units per day }\left[2.8\right]$. $\text{Assume that }R\left(x\right)\text{and }C\left(x\right)\text{ are in dollars}\text{.}$

[2.8]