Assume that during periods of job growth, the rate of increase of the number employed is proportional to the number who are employed. At the outset of a job growth period, the number employed in a certain country grew from 11.3 million to 11.7 million in 10 weeks. Let N(t) represent the number employed in millions as a function of t in weeks since the start of the growth period.
(a) Set up and solve an Initial Value Problem to determine N(t).
(b) The growth period lasted for a year (52 weeks). What was the increase in the number of jobs?