Greg is opening a car wash. He estimates his cost equation as C= 5000 +0.05x and his revenue equation as where R=1.9x is the number of cars washed in a six-month period. Find the number of cars that must be washed in a six-month period for Greg to make a profit.

Question

Greg is opening a car wash. He estimates his cost equation as C= 5000 +0.05x  and his revenue equation as  where R=1.9x is the number of cars washed in a six-month period. Find the number of cars that must be washed in a six-month period for Greg to make a profit.

MathMate · Answer

To break even, C=R 5000+0.05x = 1.9x Isolate x and solve: 1.85x=5000 x=2702.7 So as of the 2703th car washed, he makes a profit.