The cost, $C$ (in dollars) to produce $g$ gallons of ice cream can be expressed as $C = f(g)$.

(a) In the expression $f(125) = 325$,
what are the units of 125? ? dollars gallons dollars*gallons dollars/gallon gallons/dollar
what are the units of 325? ? dollars gallons dollars*gallons dollars/gallon gallons/dollar

(b) In the expression $f'(125) = 1.2$,
what are the units of 125? ? dollars gallons dollars*gallons dollars/gallon gallons/dollar
what are the units of 1.2? ? dollars gallons dollars*gallons dollars/gallon gallons/dollar

(Be sure that you can carefully put into words the meanings of each of these statement in terms of ice cream and money.)