The "power demand" of electric customers is frequently measured in Megawatts (abbreviated MW) The power company, "Just Charge It", provides electric power to two different cities, City A and City B. The two cities require different power demands, but the amount of electric power each city needs varies in a sinusoidal fashion over the course of a typical day. Here are the details:
(a) City A: At midnight, City A demands 40 Megawatts of power. By noon, the city demand is at its maximum consumption of 90 Megawatts. By midnight, it once again needs 40 Megawatts. This pattern repeats everyday. (i) Find a simple formula for