Question

Dean Stadler hasdays in which to plant corn and soybeans. The corn can be planted at a rate ofacres per day and the soybeans at a rate ofacres per day. He hasacres available for planting these two crops.

38. Let c represents the number of acres of corn and let S represent the number of acres of soyabeans. Write a system of inequalities to represent the possible ways Mr. Stadler can plant the available acres.

Short answer

The system inequalities are

$\begin{array}{c}c+s\le 4500\\ c+s\le 4000;\\ c,s\ge 0\end{array}$

Step-by-step solution

Step-1-Assumption of variables

Let c represent the number of acres of corn

And s represent the number of acres of soyabean

Step-2-Determination of Inequalities

Total acres available for planting two crops=4500

Rate of the plantation of corn= 250 acres per day

Rate of the plantation of soyabean=200 acres per day

So,

$\begin{array}{c}c+s\le 4500\\ s+0.8c\le 4000;\\ c,s\ge 0\end{array}$