To determine whether the 725 candy bars are a viable option for the adventure club to meet their financial goals, we'll first set up the inequality that represents the problem.
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Cost of Candy Bars: The club bought 725 bars for $400.
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Selling Price: Each candy bar sells for $2.
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Total Revenue from Selling Bars: If they sell \( x \) bars, their revenue will be \( 2x \).
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Profit Calculation: The profit can be calculated by subtracting the cost from the revenue: \[ \text{Profit} = \text{Revenue} - \text{Cost} \]
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Setting Up the Inequality: The club needs to have a profit of at least $1000: \[ 2x - 400 \geq 1000 \]
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Solving the Inequality: \[ 2x - 400 \geq 1000 \] Adding 400 to both sides: \[ 2x \geq 1400 \] Dividing by 2: \[ x \geq 700 \]
This means the club needs to sell at least 700 bars to make the desired profit of at least $1000.
- Evaluating the 725 Bars: Since the club has 725 bars and needs to sell at least 700 bars, selling 725 bars is indeed a viable option for them to make enough profit.
Conclusion: The inequality that represents this problem is \( 2x - 400 \geq 1000 \), and selling 725 bars is a viable option since they only need to sell 700 bars to meet their profit goal.
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