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# ​ What constraints are placed on the variables in this situation?

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What constraints are placed on the variables in this situation?

AngelRay  Mar 4, 2018
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x  =  number of round tables     and     y  =  number of rectangular tables

Each round table has 6 chairs. Each rectangular table has  10  chairs.

The total number of chairs must be greater than or equal to  185  .

6x + 10y  ≥  185

There must be no more than  15  rectangular tables.

So the number of rectangular tables must be less than or equal to  15 .

y  ≤  15

There must be no fewer than  6  round tables.

So the number of round tables must be greater than or equal to  6 .

x  ≥  6

The number of rectangular tables must be greater than or equal to one-third the number of round tables.

y  ≥  $$\frac13$$x

3y  ≥  x

x  ≤  3y

hectictar  Mar 4, 2018