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Example: Solving a Business Profit Application with a Linear Inequality

To find the number of services needed to reach a target profit, represent the scenario with a linear inequality where profit equals revenue minus costs. For example, if a business charges $2.50 per service, has monthly expenses of $650, and wants a profit of at least $2,800, let jj represent the number of services. The inequality is 2.5j6502,8002.5j - 650 \geq 2{,}800. Adding 650650 to both sides gives 2.5j3,4502.5j \geq 3{,}450. Dividing by 2.502.50 yields j1,380j \geq 1{,}380. Thus, at least 1,380 services must be provided to meet the profit goal.

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Updated 2026-04-22

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Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax

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