A technology company produces two types of calculators.

• They must produce at least 10 and not more than 30 graphing calculators per day.

• Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.

• The number of scientific calculators cannot exceed 40 per day.

If x is the number of graphing calculators produced daily and y is the number of scientific calculators produced daily, what are the constraints?

10 ≤ x ≤ 30, x < 2y, x < 40.

Solution:

Given x is the number of graphing calculators produced daily and

y is the number of scientific calculators produced daily.

Step 1: A company produce atleast 10 and not more than 30 graphing calculators per day.

⇒ 10 ≤ x < 30

Step 2: Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.

⇒ x < 2y

Step 3: The number of scientific calculators cannot exceed 40 per day.

⇒ x < 40

Hence, the constraints are 10 ≤ x ≤ 30, x < 2y, x < 40.