The function p(w)=238(1.6)^w represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period. (a) During Week 0, how many more specialty items were produced at the old factory than at the new factory? Show all work to receive full credit for this problem. (b) Find and compare the growth rates of specialty items produced at each factory between weeks two and three. Show all work to receive full credit for this problem.
(c) Does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory in week 5? Show all work to receive full credit for this problem.
mber of specialty items produced at the new factory during the same time period.