The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N= 30(1-et). After 20 days on the job, a new employee produces 20 units. (a) Find the learning curve for this employee. (Hint: First, find the value of k. Round your value of k to three decimal places.) k= N= (b) How many days does the model predict will pass before this employee is producing 26 units per day? (Round your answer to the nearest whole number.) days