Answer:
The system of equations is given as:
x ≥ $500
y ≥ $800
x + y ≤ 1600
20x + 30y ≥ 2800
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.