A company can buy a machine that is expected to increase the company's net income by $40,000 each year for the 15 year life of the machine. The company also estimates that for the next 15 years, the money they invest from that continuous stream will earn 7% compounded continuously. Round all answers to the nearest cent.

a. Find the total amount of money produced by the machine over its 15 year life.

b. Find the future value of the income stream.

c. Find the present value of the income stream.