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31 December, 20:30

A farmer planted a field of bt 123 corn and wants to estimate the yield in terms of bushels per acre. he counts 22 ears in 1/1000 of an acre. he determines that each ear has about 700 kernels on average. he also knows that a bushel contains about 90 000 kernels on average. what is the farmer's estimate of yield in bushels/acre?

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  1. 31 December, 23:44
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    We may answer this item by using the dimensional analysis of the given parameters.

    Initially, we are given that there are 22 ears per 1/1000 acre. We may start with this ratio such that,

    yield = 22 ears / (1/1000 acre)

    This can be simplified into,

    yield = 22000 ears/acre

    Then, we convert the given yield in terms of kernels/acre by using the conversion factor,

    1 ear = 700 kernels

    yield = (22000 ears/acre) (700 kernel / 1 ear)

    yield = 15400000 kernel/acre

    Then, we use the next conversion factor of,

    1 bushel = 90000 kernel

    yield = (15400000 kernel/acre) (1 bushel/90000 kernel)

    yield = 171.1 bushel/acre

    Therefore, the yield of the corn farm is approximately 171.1 bushels/acre.
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