Question

Lee washes houses. It takes him 40 minutes to wash a one-story home, and he uses 18 gallons of water. Power washing a two-story home takes less than 90 minutes, and he uses 30 gallons of water. Lee works no more than 40 hours each week, and his truck holds 500 gallons of water. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his income washing one- and two-story houses. Let x represent the number of one-story houses and y represent the number of two-story houses. What are the constraints for the problem?

Answer 1

D

Explanation:

2/3x+3/2y=<40

18x+30y=<500

x=>0

y=>0

Answer 2

Let us denote the number of one-story houses with X and the number of two-story houses with Y.
The constraints are the following:
1. Lee works no more than 40 hours each week. (40 hours=40*60=2400 minutes)
2. Lee's truck holds 500 gallons of water.
We know that it takes him 40 minutes and 18 gallons of water to wash a one-story home, and for two-story home he needs 90 minutes and 30 gallons of water.
The first constraint can be written as:
40*X+90*Y < 2400
The second constraint can be written as:
18*X+30*Y< 500