Answer Happy

5. For the average new assembly plant worker at Pluto Widgets Inc., the number of widgets assembled per day can be modeled by N(t)=136−120e−0.15t, where t≥0 is the number of days after hiring. (a) Find N′(t). What are the units of N′(t) ? Interpret this derivative as a rate of change. (5 pts.) (b) Is the graph of N(t) concave up, or concave down? Use differentiation (not a picture!) to justify your answer. (5 pts.) (c) Obtain and examine a graph of N(t). You do not need to include the graph in your work. Based on the graph, what is the worker's maximum productivity level? [Hint: From the graph, you can visually estimate t→∞lim​N(t).] Include the correct units in your answer. ( 5 pts.)