Question

a company produces two types of drills a corded and cordless the cord type drill requires 2 hours to make and the cordless model requires 3 hours the company has 360 work hours per day for manufacturing and daily storage of 145 drills per day let x= the number of cordless drills produced per day and y= the number of corded drills produced per day write the system of inequalities that represents the maximum numberbof drills that can be produced daily_____<360 -____145< -x>0 -

Answer 1

The inequality equations are

3x + 2y ≤ 360

x + y ≤ 145

x ≥ 0

y ≥ 0

Step-by-step explanation

If the number of cordless drills made in a day is x

If the number of corded drills made in a day is y

We can make a maximum of 145 drills in a day.

This means that x and y sum up to give a number that has to be less than or equal to 145

x + y ≤ 145

Corded drills take 2 hours to make and cordless drills take 3 hours to make.

There are 360 work hours available in a day.

3x + 2y ≤ 360

But the number of corded and/or cordless drills cannot be negative. They can only be 0 and above

x ≥ 0

y ≥ 0

So, the inequality equations are

3x + 2y ≤ 360

x + y ≤ 145

x ≥ 0

y ≥ 0

Hope this Helps!!!