Chck farms raises hens and roosters.   they have enough space to raise at most  300  300  birds per year.   each hen eats  80    80  pounds of food per year,   and each rooster eats  60  60  pounds of food per year.   the business can only afford  20,000    20,000  pounds of food per year.   the graph below shows the solution set of a system of linear inequalities that represents this situation.

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step-by-step explanation:

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step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.