Let $C=f(q) = 175 + 0.2 q$ give the cost in dollars to manufacture $q$ kg of a chemical.

a) Which of the following statement(s) correctly explain the meaning of $f^{-1}(C)$ ? Check all that apply.

A. The number of kgs. of the chemical that can be manufactured with $C$ dollars.
B. The cost of manufacturing $C$ kgs. the chemical.
C. The cost of manufacturing one kg. of the chemical.
D. The number of kgs. of chemical that can be manufactured for each 1 dollar spent.
E. The number of kgs. of the chemical someone can purchase with $C$ dollars.
F. None of the above

(b) Find a formula for $f^{-1}(C) =$