Question

A florist is filling a large order for a client. The client wants no more than 300 roses in vases. The smaller vase will contain 8 roses and the larger vase will contain 12 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 6 small vases and no more than 12 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?

Answer 1

1.y≤12

2.8x+12y≤300

3.x≥6

4.x≥2y

Explanation:

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Answer 2

`8x+12y\leq 300`

`x\geq 6`

`y\leq 12`

`x\geq 2y`

Explanation:

We are given that

x=Number of small vases

y=Number of large vases

Total number of roses not more than 300 in vases.

Number of roses in small vase atleast=8

Number of roses in large vase not more than =12

We have to find the constraints are placed on the variables in the given situation.

According to question

`8x+12y\leq 300`

`x\geq 6`

`y\leq 12`

`x\geq 2y`