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

The firm is able to hire mathematicians at $50 per hour, physicists at $100 per hour, and economists at $60 per hour.

• Whom the firm should hire? [ Select ] ["mathematicians", "physicists", "economists"]
• If the company !Thm! wants to produce q theorems, it should it hire [ Select ] ["100q", "80q", "60q", "3q", "2q", "q", "0.5q", "q/3", "q/60", "q/80", "q/100", "2", "3", "none of the above"] [ Select ] ["mathematicians", "physicists", "economists"] .
• The company's cost function is given by C(q) = [ Select ] ["200q", "180q", "150q", "q", "q^2 (q squared)", "q^3", "40q", "50q", "20q", "200", "180", "160", "none of the above"] .