how do i graph the system of inequalities &nbsp;. name the coordinates of the vertices of the feasible region. find the maximum of the given function for this region.γ≥-χ‐2&nbsp;y≥3χ+2&nbsp;γ≤χ+4&nbsp;f(x,y)=-3χ+5γ&nbsp;&nbsp;

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how do i graph the system of inequalities &amp;nbsp;. name the coordinates of the vertices of the feasible region. find the maximum of the given function for this region.γ≥-χ‐2&amp;nbsp;y≥3χ+2&amp;nbsp;γ≤χ+4&amp;nbsp;f(x,y)=-3χ+5γ&amp;nbsp;&amp;nbsp;

Eliza Beth13 · Accepted Answer

The system of inequalities is as follows:γ≥−χ−2y−2y≥3χ+2γγ≤χ+4f(x,y)=−3χ+5γLet&#039;s graph each inequality one by one:1. γ≥−χ−2y: To graph this inequality, we first draw the line γ=−χ−2y. Then, since we want γ to be greater than or equal to that line, we shade the region above the line. This region represents the inequality γ≥−χ−2y.2. −2y≥3χ+2γ: To graph this inequality, we rearrange it to y≤−32χ−γ. We draw the line y=−32χ−γ and shade the region below the line to represent −2y≥3χ+2γ.3. γ≤χ+4: We draw the line γ=χ+4 and shade the region below the line to represent the inequality γ≤χ+4.Now, to find the vertices of the feasible region, we look for the points where the lines intersect. The vertices will be the intersection points of the three lines.Finally, to find the maximum of the function f(x,y)=−3χ+5γ within the feasible region, we evaluate the function at each vertex and determine the highest value.

how do i graph the system of inequalities

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