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Question

# Martin is planning which crops to plant on his farm for the upcoming season. He has enough seed to plant 4 acres of wheat and 7 acres of soybeans, but the total area of farmland he owns is only 9 acres. He earns 90peracreforeveryacreofwheatplantedand 120 for every acre of soybeans planted, and he must pay a 10% tax on all money he earns from selling his crops. Calculate the maximum profit, in dollars that Martin can earn from planting wheat and soybeans this season.

A
918
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B
916
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C
914
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D
912
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Solution

## The correct option is A 918In order to find the greatest profit, maximize the number of acres of soybeans Martin plants, since soybeans bring in more money per acre than does wheat. At most, MartIncan plant 7 acres of soybeans. Therefore, the most money he can make on soybeans is 7×120=840.He then has 9−7=2 acres left on which to plant wheat.The money he makes from this wheat is 2×90=180.The total amount Martin makes before taxes is therefore 840+180=1,020.The tax on this money equals 1020×0.10=102.Subtract the amount Martin pays in taxes to get 1,020−102=918 profit. The correct answer is 918.

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