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An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function Constraints $z=4x+16y????x?0,y?0x+y?74x+y?164x+3y?24??$ Find the values of $x$ and $y$ at which the maximum occurs. $x=y=?$ (Type integers or simplified fractions.)
a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. b. Find the value of the objective function at each corner of the graphed region. (Use a comma to separate answers as needed.) c. Use the values in part (b) to determine the maximum value of the objective function and the values of $x$ and $y$ at which the maximum occurs.
The maximum value of the objective function is (Type an integer or a simplified fraction.) Find the values of $x$ and $y$ at which the maximum occurs. $x=y=?$ (Type integers or simplified fractions.)

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