Suppose That the Output of the Machinery in a Factory

Suppose that the output of the machinery in a factory can be considered as a continuous income stream with an annual rate of flow at time t given by in thousands of dollars per year. If the annual interest rate is 4% compounded continuously, find the capital value of the machinery. Round your answer to the nearest dollar. ​

A) $4,406,250
B) $1,175,000
C) $1,958,333
D) $6,462,500
E) $2,937,500