Two types of airplane tickets are to be sold. One type costs $150 per ticket and the other type costs $250 per ticket. The company must sell at least 150 tickets including 80 of the $150 tickets and 30 of the $250 tickets. Moreover, the gross receipts must total at least 27000 in order for the flight to go. Find a system of inequalities describing the different numbers of tickets that can be sold, and sketch the graph of the system.
Equations:
x ≥ 80
y ≥ 30
x + y ≥ 275 000
150x + 250y ≥ 27 000
Graph:
(80,30), (80, 108), (120, 30)
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