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Find the Maximum Value of the Objective Function and Where z=x+11yz = x + 11 y

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Short Answer

Find the maximum value of the objective function and where it occurs, subject to the constraints:

Objective function:
z=x+11yz = x + 11 y
Constraints:
x0y0x+4y20x+y182x+2y21\begin{aligned}x & \geq 0 \\y & \geq 0 \\x + 4 y & \leq 20 \\x + y & \leq 18 \\2 x + 2 y & \leq 21\end{aligned}

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Definitions:

Catalyst

A material that accelerates the speed of a chemical reaction without experiencing any lasting chemical alteration.

Acid Equilibrium

The state of balance between the forward and reverse reactions in which an acid donates a proton to a base.

Acid Salt

A type of salt that contains an ionizable hydrogen atom, allowing it to act as an acid under suitable conditions.

Soluble

Ability of a substance to dissolve in a solvent, forming a homogeneous mixture at a molecular or ionic level.

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