The cost of the lemonade stand is $ 30.
The number of lemonade cups is x.
The price of each cup of lemonade is $ 0.25.
The cost function can be determined as,
[tex]\begin{gathered} c(x)=average\cos t\text{ of lemonade stand}+\text{price of each cup} \\ =\frac{30}{x}+0.25 \\ =\frac{30+0.25x}{x} \end{gathered}[/tex]Thus, option (A) is the correct option.