Find the Complete Optimal Solution to This Linear Programming Problem

question 34

Essay

Find the complete optimal solution to this linear programming problem.
$$\begin{array} { l l } \text { Min } & 3 x + 3 y \\\text { s.t. } & 12 x + 4 y \geq 48 \\& 10 x + 5 y \geq 50 \\& 4 x + 8 y \geq 32 \\& x , y \geq 0\end{array}$$

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Definitions:

Synaptic Gap

The tiny space between neurons where neurotransmitters are released, allowing communication between cells.

Diffusion

The process by which molecules move from an area of higher concentration to an area of lower concentration until equilibrium is reached.

Synaptic Vesicles

Membrane-bound structures within presynaptic neurons that contain neurotransmitters, which are released into the synaptic gap in response to a neuron's action potential.

Attractive Forces

Forces that cause particles or objects to come together, commonly found in physics and chemistry, such as gravitational or electromagnetic forces.