Question

Ronald is making hats and scarves for charity. He has enough yarn to make 5 hats and 8 scarves. Takes him 12 hrs to knit a hat, 6 hrs to knit a scarf; he has 20 hrs to knit.Which inequalities are constraints to this situation, select all correct answers

Answer 1

Constraints are simply the subjects of an objective function.

The inequality that represents the constraint is: $12x + 6y \le 20$

Represent the number of hats with x, and the number of scarves with y.

From the question, we have:

• He spends 12 hours to knit a hat
• He spends 6 hours to knit a scarf

So, the equation of the total time spent is:

$Time = 12x + 6y$

This time spent is not more than 20 hours.

So, the inequality is

$12x + 6y \le 20$

Hence, the inequality that represents the constraint is: $12x + 6y \le 20$

Read more about constraints at:

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