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. The manufacturer has found that multiples of these size boxes accommodate orders and require clients to purchase full boxes.
A client orders no fewer than 100 of the toy. Due to storage space restrictions, 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?
Select each correct answer.
4x + 6y ≤ 200
x ≥ 6
x + y ≥ 200
y ≥ 6
x ≤ 8
x + y ≥ 100
4x + 6y ≥ 100
y ≤ 8