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$3.5 c-1.5 d \geq 50$$\newline$Esa's Pastries sells cupcakes for $\$ 3.50$ each and donuts for $\$ 1.50$ each. The given inequality represents the difference, in dollars, between cupcake sales and donut sales on a typical day based on $c$, the number of cupcakes sold and $d$, the number of donuts sold. If Esa sold $200$ donuts on a typical day, what is the minimum number of cupcakes she sold on that day?$\newline$Choose $1$ answer:$\newline$(A) $25$$\newline$(B) $50$$\newline$(C) $100$$\newline$(D) $350$