Question

tran is packing a box of books and toys to be shipped. each book weighs 3 pounds and each toy weighs 0.5 pound. the total weight of the box must be less than 10 pounds. what are the constraints on the variables?

Answer 1

The number of books must be less than 3 and the number of toys must be less than 8.

Answer 2

number of books should be less than 3 and number of toys should be less than 14.

Explanation:

Tran is packing a box of books and toys.

A book weighs 3 pounds and each toy weighs (0.5) pound

Let the number of books is x and number of toys is y.

Then as per statement of the question inequality formed will be

Total weight of books and toys < 10

( 3x + 0.5y < 10 )

for x = 1 2 3 which means 1 ≤ x < 3

y = 14 8 2 2 ≤ y < 14

Therefore, number of books should be less than 3 and number of toys should be less than 14.