# Verbal Problem

• August 12th 2010, 07:04 PM
cristinaivelisse
Verbal Problem
A street corner vendor buys roses for $9.12 per dozen and sells them at$1 each. His costs of operation are $34 per day. If x represents the number of roses he sells in a day, express his profit for the day in terms of x. Can some one help me with this? thx(Nerd) • August 12th 2010, 07:19 PM Prove It Profit = Revenue - Cost If he buys them for$9.12 per dozen roses, that means that his cost from the roses is $\frac{9.12x}{12} = \frac{19x}{25}$. He also has a fixed cost of $34 a day. Therefore if we let C be the cost, $C = \frac{19x}{25} + 34$. He is earning$1 for every rose. So his revenue (R) is $R = x$.

Therefore, if we let P represent the profit per day, we have

$P = R-C$

$P = x - \left(\frac{19x}{25} + 34\right)$

$P = \frac{25x}{25} - \frac{19x}{25} - 34$

$P = \frac{6x}{25} - 34$.
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