The Hershey Company is the largest US producer of chocolate. Between 2011 and 2014, Hershey generated net sales at a rate approximated by 5.3 + 0.42t billion dollars per year, where t is the time in years since January 1, 2011. Assume this rate continues through the year 2016 and that the interest rate is 2% per year compounded continuously.

(a) Find the value, on January 1, 2011, of Hershey’s net sales during the five-year period from from January 1, 2011 to January 1, 2016.
(b) Find the value, on January 1, 2016, of Hershey’s net sales during the same five-year period.