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17 December, 04:03

You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out performance brings you $3125. Let x represent the number of sold-out performances. How many sold-out performances must be played in order for you to break even?

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  1. 17 December, 05:19
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    Answer: 48 sold-out performances must be played in order for you to break even.

    Step-by-step explanation:

    Let x represent the number of sold-out performances must be played in order for you to break even.

    You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be

    2500x + 30000

    A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be

    3125x

    To break even, cost = revenue

    Therefore,

    2500x + 30000 = 3125x

    3125x - 2500x = 30000

    625x = 30000

    x = 30000/625

    x = 48
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