Question

A florist is filling a large order for a client. The client wants no more than 250 roses in vases. The smaller vase will contain 6 roses and the larger vase will contain 10 roses. The client requires that there are at least twice as many small vases as large vases. The client requires that there are at least 8 small vases and no more than 14 large vases.Let x represent the number of small vases and y represent the number of large vases.What constraints are placed on the variables in this situation?Select each correct answer.Question 14 options:x≤8x≥6y≤14x≥2yx+y≤2506x+10y≤250y≥2xx≥8

Answer 1

I will answer step by step:

1) "The client wants no more than 250 roses in vases" and "The smaller vase will contain 6 roses and the larger vase will contain 10 roses". If x represents the number of small vases and y represent the number of large vases, this mathematically means:

`6x+10y\leq250`

2) "The client requires that there are at least twice as many small vases as large vases"

`x=2y`

3) The client requires that there are at least 8 small vases and no more than 14 large vases.

`x\ge8`
`y\leq14`

That is all the options that are correct!