4. a) State the widget profit function, a(q). b) Find all local maximums for the profit function. Be sure to prove your work using a derivative test. c) What price do you recommend the widget company set for their widgets? Why? 4. a) State the widget profit function, a(q). b) Find all local maximums for the profit function. Be sure to prove your work using a derivative test. c) What price do you recommend the widget company set for their widgets? Why