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22 December, 00:57

A beekeeper's hives are making Honey at a constant rate. The profit from honey can be represented by the equation

P (t) = - 16t^2 + 2050t + 150, where t is the time in days and P (t) is the profit the beekeeper receives. After how many days should she harvest her honey to maximize profit?

A: 4212100

B: 2050

C: 150

D: 64

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  1. 22 December, 01:16
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    Step-by-step explanation:

    Hello

    A beekeeper's hives are making Honey at a constant rate. The profit from honey can be represented by the equation

    P (t) = - 16t^2 + 2050t + 150, where t is the time in days and P (t) is the profit the beekeeper receives. After how many days should she harvest her honey to maximize profit?

    A: 4212100

    B: 2050

    C: 150

    D: 64

    P (64) = - 16 (64) ^2 + 2050 (64) + 150 = - 16 * 4096 + 131200 + 150 = 65814

    P (150) = - 16 (150) ^2 + 2050 (150) + 150 = - 16 * 22500 + 307500 + 150 = - 52350

    P (64) = - 16 (2050) ^2 + 2050 (2050) + 150 = - 16 * 4202500 + 4202500 + 150 = - 63 037 350

    The only is positif, it's 64 days
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