1Cademy - Example: Translating and Solving a Profit Inequality for a Maintenance Business

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Profit = Revenue - Costs

Example

Example: Translating and Solving a Profit Inequality for a Maintenance Business

To calculate how many jobs are needed to meet a profit target, use an inequality representing revenue minus expenses. For example, if a landscaping business charges $60 per job and has monthly expenses of $1,100, with a target profit of at least $4,000, let $j$ be the number of jobs. The inequality is $60j - 1{,}100 \geq 4{,}000$ . Adding 1{,}100 to both sides results in $60j \geq 5{,}100$ . Dividing by $60$ gives $j \geq 85$ . Thus, at least 85 jobs must be completed to achieve the minimum required profit.