A Franchise Models the Profit from Its Store as a Continuous

Multiple Choice

A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at time t given by (dollars per month) . When a new store opens, its manager is judged against the model, with special emphasis on the second half of the first year. Find the total profit for the second 6-month period to . Round your answer to the nearest dollar. ​

A) $61,831
B) $51,679
C) $40,973
D) $30,821
E) $46,232