Chapter 9.2, Problem 49E

(a)

To determine

The monthly charge of electricity if 1100kWh of electricity is consumed in a month if the monthly charges for x-kilowatt-hours (kWh) of electricity that is used by a residential consumer of Excelsior Electric Membership Corporation, from November to June.

(b)

To determine

To calculate: The values of the limits, $\underset{x\to 100}{\lim }C\left(x\right)$ and $\underset{x\to 500}{\lim }C\left(x\right)$ if the monthly charges for x-kilowatt-hours (kWh) of electricity that is used by a residential consumer of Excelsior Electric Membership Corporation, from November to June.

(c)

To determine

Whether the function, $C\left(x\right)=\{\begin{array}{l}20+0.188x\text{ if }0\le x\le 100\\ 38.80+0.15\left(x-100\right)\text{ if }100<x\le 500\\ 98.80+0.10\left(x-500\right)\text{ if }x>500\end{array}$, is continuous at $x=100$ and $x=500$ if the monthly charges for x-kilowatt-hours (kWh) of electricity that is used by a residential consumer of Excelsior Electric Membership Corporation, from November to June.