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In the following linear programming problem, what is the allowable increase for the objective function coefficient for variable x?
 Maximize P=3x+15y subject to 2x+4y125x+2y10 and x0,y0\begin{array} { l l } \text { Maximize } P = 3 x + 15 y \\\text { subject to } & 2 x + 4 y \leq 12 \\& 5 x + 2 y \leq 10 \\\text { and } \quad x \geq 0 , y \geq 0\end{array}


Definitions:

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Groups of atoms bonded together, representing the smallest fundamental units of a chemical compound that can take part in a chemical reaction.

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A potent opiate analgesic derived from the opium poppy, used medically to relieve severe pain.

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