maximizing total profit: profits of a Christmas store vary periodically with a high of $50,000 in December and a low of $10,000 in June. The owner also owns the Pool store, where profits reach a high of $80,000 in August and a low of $20,000 in February. Assume the profit function for each store is a sine wave.

A.) write the profit function for the Christmas Store as a function of the month and sketch its graph

B.) write the profit function for the Pool Store as a function of the month and sketch its graph

C.) write the total profit as a function of the month and sketch its graph. What is the period

D.) use the maximum feature of a graphing calculator to find the owner's maximum total profit and the month in which it occurs

E.) find the owners minimum total profit and the month in which it occurs