Question

A toy manufacturer ships a toy in one of two different size boxes. The small box contains 6 of the toy and the large box contains 10 of the toy.

A client orders no fewer than 100 of the toy. Based on his storage and sales needs, the client requires that he receive no more than 8 of the large boxes and no fewer than 6 of the small boxes.

The cost to the client for a small box is $4 and the cost to the client for a large box is $6. The client does not wish to exceed $200 for his order of toys.

Let x represent the number of small boxes and y represent the number of large boxes.


What constraints are placed on the variables in this situation?

Answer 1

The constraints placed on the variables y and x in this problem are y≤8 and x≥6.

Answer 2

Let x represent the number of small boxes.

Let y represent the number of large boxes.

The client receive no more than 8 of the large boxes and no fewer than 6 of the small boxes.

`x \geq 6`

`y \leq 8`

The cost of small box is $4 and the cost to the client for a large box is $6. The client does not wish to exceed $200.

`4x+ 6y \leq 200`

The small box contains 6 of the toy and the large box contains 10 of the toy. A client orders no fewer than 100 of the toy.

`6x+10y \geq 100`