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The function $C$ gives the costs (in dollars) of producing $x$ liters of a certain sauce.$\newline$What is the best interpretation for the following statement?$\newline$The slope of the line tangent to the graph of $C$ at $x=12$ is equal to $4$ .$\newline$Choose $1$ answer:$\newline$(A) At the time when $12$ liters of sauce are produced, the costs increase by $4$ dollars.$\newline$(B) When the amount of sauce produced is $\mathbf{1 2}$ liters, the costs increase at a rate of $4$ dollars per liter.$\newline$(C) The costs of producing the sauce increase at a rate of $4$ dollars per $12$ liters.$\newline$(D) It costs $4$ dollars to produce $12$ liters of the sauce.