Solving a Linear Programming Problem, use a graphing utility to graph the region determined by the constraints. Then find the minimum and maximum values of the objective function and where they occur, subject to the constraints. $$ \begin{array}{l}{\text { Objective function: }} \\ {z=x+4 y} \\ {\text { Constraints: }} \\ {\text { (See Exercise } 17 . )}\end{array} $$
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Solving a Linear Programming Problem, use a graphing utility to graph the region determined by the constraints. Then find the minimum and maximum values of the objective function and where they occur, subject to the constraints. $$ \begin{array}{l}{\text { Objective function: }} \\ {z=y} \\ {\text { Constraints: }} \\ {\text { (See Exercise } 18 . )}\end{array} $$
Solving a Linear Programming Problem, use a graphing utility to graph the region determined by the constraints. Then find the minimum and maximum values of the objective function and where they occur, subject to the constraints. $$ \begin{array}{c}{\text { Objective function: }} \\ {z=x} \\ {\text { Constraints: }} \\ {x \geq 0} \\ {y \geq 0}\end{array} $$ $$ \begin{array}{l}{2 x+3 y \leq 60} \\ {2 x+y \leq 28} \\ {4 x+y \leq 48}\end{array} $$
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