I need assistance with this assignment to add it to my notes

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) produced per employee per day over the past 10 years is given by n(t) = = where t is the number of years from 10 years ago. a. Sketch the graph of the function on (0, co). That is, find any extrema, all intervals of increase and decrease, intervals of concavity, any points of inflection 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) 2. If the cost function for a firm producing x packages is given by C(x) = 48x + 5 and the revenue function for selling x packages is given by R(x) = -x3 + 75x, find the quantity of packages that would maximize profit, then find the maximum profit. 3. A closed rectangular box of volume 324 cubic inches is to be made with a square base. If the material for the bottom costs twice per square inch as much as the material for the sides and top, find the dimensions of the box that minimize the cost of materials