You are deciding a social hall that will seat no more than 1600 people. You want at least 500 seats to be priced at $20 each, and at least 800 seats to be priced at $30 each. Those investing in the social hall would also like to bring in at least $2800 in revenue from the ticket sales. Let X represent the number of $20 seats, and let Y represent the number of $30 seats. Which system of inequalities represents this situation?
x ≥ 0
y ≥ 0
x + y ≥ 1600
20x + 30y ≤ 2800
x ≥ 500
y ≥ 800
x + y ≤ 1600
20x + 30y ≥ 2800
x ≥ 800
y ≥ 500
x + y ≤ 1600
20x + 30y ≤ 2800
x ≥ 500
y ≥ 800
x + y ≤ 1600
20x + 30y ≤ 2800