MATH 31A Midterm: Math 31A Exam 6
Document Summary
Try to answer the following questions without the use of book, notes or calculator. A new machine has been installed that takes a rod of length x inches for x between 1 and 10 and returns a widget of size x2 + 3x + 2. Ideally, you want all of your widgets to have an output of size 20, which would correspond to starting with a rod of exactly 3 inches, but you know that the rods are not exactly 3 inches. Given that you want the widgets to be within 1. 2 of 20 (i. e. , you can have widgets. After changing the company slogan to don"t be a nidget! Get the best widget! , you have been asked to decide how many widgets to produce in order to maximize the pro t (which is the di erence between revenue and cost). If w is the number of widgets then the cost of producing the widgets is 90 + 1.
