A squash patch currently has 120 lbs of butternut squash. For each additional day in the patch, the amount of butternut squash increases by 6 lbs. If the price of butternut squash is currently 80 cents per pound, but it decreases by 2 cents each day, how long should the butternut squash grow to maximize profit?

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  1. after x days, we have

    lbs: 120 + 6x
    price: .80-.02x

    No idea about profit, since cost was not mentioned, but the income is certainly

    (120+6x)(.80-.02x) = -0.12x^2 + 2.4x + 96

    That is just a parabola with vertex at (10,108)

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  2. 10 days, because the x of the vertex is the maximum profit

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  3. thanks

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  4. @Steve, where does the -0.12x^2 + 2.4x + 96 come from? I don't understand, please answer

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  5. it is from (120+6x)

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  6. Thanks. Check out my YouTube channel.
    I changed it to "Arcade Matt"

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