2. A radio station is giving away tickets to a play. They plan to give away tickets for seats that cost $\$
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1$. They want to give away at least 20 tickets. The total cost of all the tickets they give away can be no more than $\$ 1$. Use a graph to determine possible outcomes.
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Answer

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Step 1:
: Define the variables and constraints.

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The radio station wants to give away at least 20 tickets, so:

Step 2:
: Solve for y in inequality (1).

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Step 3:
: Plot the constraint lines on a graph.

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The constraint lines are given by inequalities (2) and (3). For inequality (2), solve for y: The feasible region is the area below the line given by inequality (4) and above the line given by inequality (3).

Final Answer

The possible outcomes are the points in the feasible region that correspond to whole numbers for both x and y, which can be determined by analyzing the graph.