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?

Question

07-08-2017
Mathematics

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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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Yna9141 Yna9141 · Answer 1 · 2017-08-18T23:27:51+02:00

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.