The formula w=a+r×lnt, where t represents the time in hours, w represents the amount of fresh water produced in t hours, a represents the amount of fresh water produced in one hour and r is the rate of production, models the amount of fresh water produced from salt water during a desalination process. In one desalination plant, 15.26 cubic yards of fresh water can be produced in one hour (a) with a rate of production of 31.2 (r). Round answers to the nearest thousandth.

a) How much freshwater can be produced after 8 hours?
b) How many hours will it take to produce 200 cubic yards of fresh water as this desalination plant?