Seasonal business cycle. Suppose that profits on the sale of swimming suits in a department store are given approximately by
where P(t) is profit (in hundreds of dollars) for a week of sales t weeks after January 1. Use definite integrals to approximate
(A) The total profit earned during the 2-year period
(B) The total profit earned from t = 13 to t = 26.
(C) Illustrate part (B) graphically with an appropriate shaded region representing the total profit earned.