g) What mathematical feature of your profit function is the break-even point?
h) You, being a good business owner, want to do better than simply break even. How many gizmos should
you produce in order to maximize your profit? Show how you would find this point algebraically, then
check your work with a graphing calculator.
i) A colleague of yours says, "Look kid, I went to business school, and let me tell you, all this fancy math
stuff is just quackery. If we produce 500 gizmos, we'll produce more stuff, and make more money. Stop
trying to change how we do things around here!" Explain, mathematically and professionally, why your
colleague is incorrect.