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?


Answer :

8x + 14y ≤ 250

x ≥ 8

y ≤ 14

x ≥ 2y constraints are placed on the variables in this situation

Given that

x = the number of small vases

y = the number of large vases.

A florist is filling a large order for a client. The client wants = 250 roses in vases.

The smaller vase will contain = 6 roses

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.

from the above given information we can say that,

8x + 14y ≤ 250

x ≥ 8

y ≤ 14

x ≥ 2y

constraints are placed on the variables in this situation.

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