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 90$peracreforeveryacreofwheatplantedand$ $120$ 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. $918$
• B. $916$
• C. $914$
• D. $912$

Answer 1

The correct option is A $918$

In 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 $7\times 120=840$.

He then has $9-7=2$ acres left on which to plant wheat.

The money he makes from this wheat is $2\times 90=180$.

The total amount Martin makes before taxes is therefore $840+180=1,020$.

The tax on this money equals $1020\times 0.10=102$.

Subtract the amount Martin pays in taxes to get $1,020-102=918$ profit.

The correct answer is $918$.