A manufacturer of widgets finds that the production cost, C, in dollars per unit is a function of the number of widgets produced. The selling price, S, of each widget in dollars is a function of the production cost per unit.
C(x) = –0.1x2 + 100
S(C) = 1.4C
What is the selling price per widget as a function of the number of widgets produced, and what should the selling price be if 15 widgets are produced?
C(S(x)) = –0.196x2 + 100; $108.64
C(S(x)) = –0.196x2 + 100; $55.90
S(C(x)) = –0.14x2 + 140; $144.41
S(C(x)) = –0.14x2 + 140; $108.50
