The Grass Doctor

A lawn-care service charges a start-up rate of $50 for each customer plus a charge of $25 per visit.?

A lawn-care service charges a start-up rate of $50 for each customer plus a charge of $25 per visit. a) Write an equation that models income in this situation, be sure to define your variables. b) The lawn-care service has an initial investment of $2000. How many visits will it have to make to one customer in order to start making a profit

Public Comments

1. a) y = 50 + 25x y is the money made, x is the number of visits b) solve 2000 = 50 + 25x 1950 = 25x 78 = x So it takes 78 visits to break even with that initial investment of $2000. It would take 79 visits to begin making profit.
2. Let v represent the number of visits and C the total cost C = set-up cost + (number of visits)(cost per visit) C = 50 + 25v C >= 2000 50 + 25v >= 2000 25v >= 1950 v >= 78 At 78 visits - break even v>78 profit.
3. let x be the number of customers and y be the number of visit and the total income be z then a) 50*x+25*y=z b) to make profit 50x+25y >2000