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:

Reverse Transcriptase

An enzyme that transcribes RNA into DNA, used by retroviruses to integrate their genetic material into the host's DNA.

Retroviruses

A group of RNA viruses that insert a DNA copy of their genome into the host cell in order to replicate, including HIV.

RNA Viruses

Viruses that have RNA (ribonucleic acid) as their genetic material, capable of causing various diseases by infecting living cells.

Plasma Membrane

The semipermeable membrane surrounding the cytoplasm of a cell, involved in regulating the entry and exit of substances.