Minimize
​ $c = 50 x + 50 y + 11 z$

question 119

Short Answer

Minimize
​ $c = 50 x + 50 y + 11 z$ ​
subject to
​ $$\begin{aligned}2 x + z & \geq 9 \\2 x + y - z & \geq 4 \\3 x + y - z & \leq 6 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$ ​
If there is no solution, do not fill the fields.
​ $c =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________

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Definitions:

Glomerulus

Cluster of leaky capillaries enclosed by a Bowman’s capsule.

Distal Tubule

Region of a kidney tubule that connects to a collecting tubule.

Proximal Tubule

Region of kidney tubule nearest Bowman’s capsule.

Ascending Limb

The segment of the loop of Henle in the kidney that transports salts from the filtrate back into the blood, contributing to the concentration of urine.