Question

A banquet hall is being set up for a reception. Each round table will have 6 chairs and each rectangular table will have 10 chairs. The arrangement of tables must accommodate at least 185 guests to be seated. The client reserving the banquet hall requests that there be no more than 15 rectangular tables and no fewer than 6 round tables. Additionally, the number of rectangular tables used must be at least one-third the number of round tables used. Let x represent the number of round tables and y represent the number of rectangular tables. What constraints are placed on the variables in this situation? Select each correct answer.
x≤15

x≥6

y≤15

y≤3x

x≤3y

y≥6

6x+10y≥185

x+y≥185

Answer 1

Answer: here’s the answer hope it helps you!

Step-by-step explanation:

Answer 2

The correct constraints equations are : 6x + 10y ≥ 185 , y < 15 , x > 6

As the number of round tables = x , and number of rectangle tables be = y

Also Given :

Each round & rectangle table have 6 & 10 chairs respectively, and total people at least 185 . So, 6x + 10y > 185

Rectangular tables not more than 15, and Round tables not less than 6. So, y < 15 , and x > 6

Rectangular Tables at least one third the number of Round Tables. So,              y > 1/3 (x)

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