Minimize
​ $c = 2 x + y + 3 z$

question 150

Short Answer

Minimize
​ $c = 2 x + y + 3 z$ ​
subject to
​ $$\begin{aligned}x + y + z & \geq 50 \\2 x + y & \geq 10 \\y + z & \geq 10 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$ ​
If there is no solution, do not fill the fields.
​ $c =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________

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Definitions:

Blood Vessels

Tubular structures carrying blood throughout the body, including arteries, veins, and capillaries.

Autonomic Reflexes

Involuntary actions mediated by the autonomic nervous system that regulate bodily functions such as heart rate and digestion.

Medulla Oblongata

The lower part of the brainstem, controlling autonomic functions such as breathing, heart rate, and digestion.

Spinal Cord

A long, thin, tubular structure made up of nervous tissue, extending from the medulla oblongata in the brainstem to the lumbar region of the vertebral column, transmitting neural signals between the brain and the body.