Sue is starring a lawn-cutting business. Her start-up cost tot buy two lawn mowers and an edge trimmer is $665. She has figured out that she will use about $1 in gas for each lawn. If she charges $20 per lawn what will her break-even point be?

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Latisha Oneil · Accepted Answer

The break-even point occurs when the total cost is equal to the total revenue. If xx is the number of lawns, then the total cost of Sue is the sum of $665 and the cost in gas per lawn times the number of lawns: P(x)=665+1(x) P(x)=665+x and her revenue is the amount she charges times the number of lawns: R(x)=20x So, we equate and solve for x: P(x)=R(x) 665+x=20x 665=19x 35=x Solve for the cost using either P or R: R(35)=20(35)=700 The break-even point is (35,700) which means that the cost and revenue are equal for 35 lawns at $700.

Sue is starring a lawn-cutting business. Her start-up cost tot buy two lawn mowers and an edge trimmer is $665. She has figured out that she will use

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