Chapter 2.1, Problem 112AYU

(a)

To determine

The profit function $P\left(x\right)=R\left(x\right)-C\left(x\right)$, where the revenue $R$ is in dollars from selling $x$ clocks is $R\left(x\right)=30x$ and the cost $C$ in dollars of selling $x$ clocks is: $C\left(x\right)=0.1x^2+7x+400$.

(b)

To determine

The profit if $x=30$ clocks are sold, where the revenue $R$ is $R\left(x\right)=30x$ and the cost $C$ is $C\left(x\right)=0.1x^2+7x+400$.

(c)

To determine

The interpretation of profit $P\left(30\right)$, where the revenue $R$ is $R\left(x\right)=30x$ and the cost $C$ is $C\left(x\right)=0.1x^2+7x+400$.