SOLUTION: “Sue is starting a lawn-cutting business. Her start-up cost to 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.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: “Sue is starting a lawn-cutting business. Her start-up cost to 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.      Log On


   

Question 1125267: “Sue is starting a lawn-cutting business. Her start-up cost to 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? “
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of lawns mowed
Income equation:
+I+=+20n+
Expenses equation:
+E+=+1%2An+%2B+665+
Profit equation:
+P+=+I+-+E+
Break even point is where +P+=+0+
+20n+-+%28+n+%2B+665+%29+=+0+
+19n+=+665+
+n+=+35+
Break even is at 35 lawns mowed
———————
Check:
+I+=+20%2A35+
+I+=+700+
And
+E+=+35+%2B+665+
+E+=+700+
And
+P=+0+