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?

Respuesta :

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

Answer:

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

Step-by-step 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.