Question

After accounting for breaks, a worker actually works 400 minutes each day. The manufacturer needs each worker to generate a potential profit of $35 each day. Write a system of inequalities that expresses these constraints.

Answer 1

Hello there.

After accounting for breaks, a worker actually works 400 minutes each day. The manufacturer needs each worker to generate a potential profit of $35 each day. Write a system of inequalities that expresses these constraints.

Answer: 2y/3 - 2x/3 ≥ 35

Answer 2

If we let x as the cost for labor per hour, then the total cost for labor is
400/60 x
2x/3

If we let y as the earnings per hour, then the gross earnings is
400/60 y
2y/3

The inequality then is
2y/3 - 2x/3 ≥ 35