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Does the Following Linear Programming Problem Exhibit Infeasibility,unboundedness,or Alternate Optimal

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Does the following linear programming problem exhibit infeasibility,unboundedness,or alternate optimal solutions? Explain.
 Min 3x+3y s.t. 1x+2y161x+1y105x+3y45x,y0\begin{array} { l l } \text { Min } & 3 x + 3 y \\\text { s.t. } & 1 x + 2 y \leq 16 \\& 1 x + 1 y \leq 10 \\& 5 x + 3 y \leq 45 \\& x , y \geq 0\end{array}

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Definitions:

Overhead Volume Variance

A metric used to measure the difference between the budgeted and actual volume of production, affecting the budgeted overhead costs.

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