The personnel manager of a company estimates that the number of insurance claims an experienced clerk can process in a day is 40. Furthermore, the rate at which a clerk can process claims per day during the t-th week of training is proportional to the difference between the maximum number possible (40) and the number he or she can process per day in the t-th week. If the number of claims the average trainee can process after 2 weeks on the job is 10 per day, determine how many claims the average trainee can process after 6 weeks on the job.