Respuesta :

Answer:

The system of equations is given as:

x ≥ $500

y ≥ $800

x + y ≤ 1600

20x + 30y ≥ 2800

Step-by-step explanation:

From the question

We are told that

x = Number of $20 seats

y = Number of $30 seats

$20 seats = At least $500 (greater than or equal to)

$30 seats = At least $800 (greater than or equal to)

You are designing a social hall that would seat no more than 1600 people

No more than means less than or equal to ≤ 1600 people

x + y ≤ 1600 people

Total revenue generated = At least $2800. This means ≥ (greater than or equal to).

20x + 30y ≥ $2800

The system of equations is given as:

x ≥ $500

y ≥ $800

x + y ≤ 1600

20x + 30y ≥ 2800

Option C is the correct Option.