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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 jj be the number of jobs. The inequality is 60j1,1004,00060j - 1{,}100 \geq 4{,}000. Adding 1,1001{,}100 to both sides results in 60j5,10060j \geq 5{,}100. Dividing by 6060 gives j85j \geq 85. Thus, at least 85 jobs must be completed to achieve the minimum required profit.

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Updated 2026-04-22

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