The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 35. The learning urve for the number N of units produced per day after a new employee has worked t days is modeled by N = 35(1-e). After 20 lays on the job, a new employee produces 19 units. (a) Find the learning curve for this employee (first, find the value of k). (Round your value of k to three decimal places.) k = N= (b) How many days should pass before this employee is producing 27 units per day? (Round your answer to the nearest whole number.) days