Marginal profit: A small firm produces at most 15 widgets in a week. Its profit P , in dollars, is a function of n, the number of widgets manufactured in a week. The marginal profit dP/ dn for the...

Marginal profit: A small firm produces at most 15 widgets in a week. Its profit P , in dollars, is a function of n, the number of widgets manufactured in a week. The marginal profit dP/ dn for the firm is given by the formula

a. Use your calculator to make a graph of dP/c. How many widgets should the firm produce in a week to maximize profit P?