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6 January, 18:25

For a concert, there are $50 reserved seat tickets and $35 general admission tickets. there are 2000 reserved seats available, and the fire code limits the total number of audience members to 3000. the promoter must take in $90,000 in ticket sales to break even. find a system of five inequalities that represents this problem. (let x for the number of general admission tickets and y represent the number of reserved seat tickets. enter your answers as a comma-separated list of inequalities.)

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  1. 6 January, 18:46
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    The number of seats sold cannot be negative, so you have

    ... x ≥ 0, y ≥ 0

    The limits on numbers of seats must be observed, so you have

    ... y ≤ 2000

    ... x + y ≤ 3000

    And the revenue constraint must be met:

    ... 35x + 50y ≥ 90,000

    Together, these inequalties are ...

    {x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}
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