Question

Two pumps at a local water facility can only

Answer 1

According to the information given, the system of inequalities that models the situation is given by:

• $x + y \geq 18$

• $x + y \leq 24$

• $120x + 200y \geq 3000$

System of inequalities:

For the system, the variables are:

• x is the number of hours that Pump 1 runs.

• y is the number of hours that Pump 2 runs.

They will run for at least 18  hours in a day but obviously no more than 24  hours in a day, hence:

$x + y \geq 18$

$x + y \leq 24$

Pump 1 can move 120 gallons  per hour while Pump 2 can move 200 gallons  per hour. In total the two pumps must move at  least 3,000 gallons of water per day, hence:

$120x + 200y \geq 3000$

You can learn more about system of inequalities at brainly.com/question/14361489