A company can produce theorems by employing mathematicians, physicists or economists. To produce one theorem, they require two mathematicians, or two physicists, or three economists.

The firm is able to hire mathematicians at $95 per hour, physicists at $100 per hour, and economists at $60 per hour.

• Whom the firm should hire?
• If the company wants to produce q theorems, it should it hire ___q of ____ (mathematicians, physicists or economists)
• The company's cost function is given by C(q) =_____