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Math 105 - 4

Quiz 4
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\item  Name \rule{5.in}{.3pt}

\item  (10 points)  Solve and graph the system of inequalities, make sure you label the vertices (the points where the lines intersect).
\[
\begin{array}{rrrrr}
  &  & x    & \geq & 2 \\
  &   &  y  & \leq & 8 \\
x & - & 2y  & \leq & 0 \\
\end{array}
\]
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\item  (10 points)  Find the maximum and minimum of the function $z=-2x+3y$ subject to the constraints above.



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