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Kansas Kate finds herself with a field of irrigated winter wheat that was planted at the end of this past summer with a defective drill.

Kansas Kate finds herself with a field of irrigated winter wheat that was planted at the end of this past summer with a defective drill. Normally she would expect an 85 bushel per acre yield on this crop. Upon a recent mid-fall inspection, Kate concludes that the field would likely yield only 45 bushels per acre when harvested next summer. To get this yield she will need to still apply an additional $12/ac of fertilizer next spring and the cost of harvesting the crop in the summer would be $28 per acre. She is contemplating instead plowing the crop under next March and replanting with milo which would be expected to yield 42 cwt per acre. If she were to replace the wheat with milo, beyond the $58/ac that she already invested this past summer in preparing to plant the wheat, Kate would incur additional expenses of $16/ac for machine and labor expenses for tillage and planting, $33/ac for seed and fertilizer, and $35/ac for harvesting. At harvest, Kate expects the price of wheat to be $7.20/bu and milo to be $9.00/cwt. What should Kate do and why? (Answer using the appropriate analytic tool being sure to label it appropriately and document your calculations)

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