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20 September, 18:26

The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie sold. Each cookie sells for $.95. How many cookies must be sold during one month for the profit to be at least $100?

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  1. 20 September, 20:59
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    Answer: the number of cookies sold must be greater than or equal to 800

    Step-by-step explanation:

    Let x represent the number of cookies made and sold in a month.

    The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be

    300 + 0.45x

    Each cookie sells for $.95. This means that the total revenue from selling x cookies would be

    0.95x

    Profit = Revenue - cost

    Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be

    0.95x - (300 + 0.45x) ≥ 100

    0.95x - 300 - 0.45x ≥ 100

    0.95x - 0.45x ≥ 100 + 300

    0.95x - 0.45x ≥ 100 + 300

    0.5x ≥ 400

    x ≥ 400/0.5

    x ≥ 800
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