The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of

Question:

The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function

20 + 0.188x 38.80 + 0.15(x – 100) 98.80 + 0.10(x – 500) 0<x< 100 if 100 <x< 500 if if x> 500

(a) What is the monthly charge if 1100 kWh of electricity is consumed in a month?
(b) Find limxâ†’100 C(x) and limxâ†’500 C(x), if the limits exist.
(c) Is C continuous at x = 100 and at x = 500?

Corporation
A Corporation is a legal form of business that is separate from its owner. In other words, a corporation is a business or organization formed by a group of people, and its right and liabilities separate from those of the individuals involved. It may...