As a newly independent grower, you are hoping to open a brand new industrial farm that utilizes cover crops for the purpose of maintaining the soil on your property. You have decided to use a mix of rye and oats, and you want to base the acreage of your farm on the amount of these crops that you can afford. The cost of each crop per acre is given in the table below:

You have a budget of $11,500 for purchasing cover crop seeds. Additionally, the mix you intend to use requires half as much acreage for rye as oats. Define x and y to be the total rye and oats (measured in acres) ordered from your distributor, respectively.

Which of the following are the linear equation constraints associated with this scenario?Select all that apply.

Question 8Answer

a.

12xy=0

b.

x4y=0

c.

40x+20y=11,500

d.

x12y=0

e.

20x+40y=11,500

\begin{tabular}{|c|c|c|} \hline & Rye & Oats \\ \hline Cost per acre & $40 & $20 \\ \hline \end{tabular}