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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 1x+1y s.t. 5x+3y303x+4y36y7x,y0\begin{array} { l l } \text { Min } & 1 x + 1 y \\\text { s.t. } & 5 x + 3 y \leq 30 \\& 3 x + 4 y \geq 36 \\& y \leq 7 \\& x , y \geq 0\end{array}

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Definitions:

Carbon Film

A type of resistor made by depositing a thin layer of carbon on an insulating substrate, known for stability and low noise.

Ceramic Rod

A type of non-metallic rod made from ceramic materials, often used for applications requiring high temperature resistance or electrical insulation.

Carbon

A chemical element, with symbol C, that is the basis of all known life on earth, capable of forming multiple stable covalent bonds.

Tolerance

The permissible limit of variation in a physical dimension or electrical component's performance, indicating the range within which the actual value is accepted to differ from the specified value.

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