Question

Auto Orb produces front windshield wipers and back windshield wipers. The company predicts a future demand of at least 250 pairs of front wipers ( x ) and 200 pairs of back wipers ( y ) each day. Auto Orb’s production capacity is limited to producing at most 500 pairs of each kind. It needs to ship a total of at least 600 pairs of wipers each day. Which set of inequalities represents the constraints in this situation?

Answer 1

`250 \leq x \leq 500`

`200 \leq y \leq 500`

`x+y \geq 600`

Explanation:

The company needs to produce at least 250 and at max 500 [front wipers]

They need to produce at least 200 and at max 500 [rear wipers]

We can thus say:

`250 \leq x \leq 500`

and

`200 \leq y \leq 500`

Now, there is another constraint in the problem. They need to ship ATLEAST 600 wipers each day, that means the sum of x and y would need to be ATLEAST 600. So we can write another inquality:

`x+y \geq 600`

These are the three inequalities that define the situation.