1. A plant manager has worked hard over the past years using various innovative means to increase the number of items produced per employee in his plant and has noticed that the number of items n(t) 28t2 where t is the 2t24t+3 produced per employee per day over the past 20 years is given by n(t) = number of years from 20 years ago. a. Sketch the graph of the function on (0, 00). That is, nd any extrema, all intervals of increase and decrease, intervals of concavity, any points of inection and determine the behavior at infinity and any singular points. b. Based on your graph, what is happening with the number of items n(t) produced per employee per day? (Note: checking your work with a graphing calculator is fine but you must show all your work to get to each of the answers in the curve sketch)