$\"\"$

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Cost of each hot dog is $\"\"$ .

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Cost of each bun is $\"\"$ .

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Rent of hot dog cart is $\"\"$ .

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The vendor wants gain his cost $\"\"$ less than his revenue $\"\"$ after selling $\"\"$ hot dogs.

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$\"\"$ .

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The cost of each hot dog ( plus bun ) is $\"\"$ .

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The cost of selling $\"\"$ hot dogs is $\"\"$ .

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The cost of selling $\"\"$ hot dogs and rent of the cart is $\"\"$ $\"\"$ .

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The revenue from selling $\"\"$ hot dogs is the product of $\"\"$ and the selling price $\"\"$ of a hot dog.

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revenue $\"\"$ .

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$\"\"$

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Set up an inequality that represents this situation and solve for $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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The hot dog vendor must charge more than $\"\"$ in order for his costs to be less than his revenue after selling $\"\"$ hot dogs.