At her hot dog stand, Julie sells hot dogs for $2 each. Purchasing hot dogs and other supplies costs $200 per month. The solution of which of the following inequalities models the numbers of hot dogs, \(h\), Julie can sell per month and make a profit?

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To make a profit, Julie must make more money than she loses.

$$ 2h \gt 200 $$ $$ \boxed{2h-200} \gt 0 $$