Maximize
​ $p = 2 x + 3 y + z + 4 w$

question 113

Short Answer

Maximize
​ $p = 2 x + 3 y + z + 4 w$ ​
subject to
​ $$\begin{aligned}x + y + z + w & \leq 60 \\2 x + y - z - w & \geq 12 \\x + y + z + w & \geq 12 \\x \geq 0 , y \geq 0 , z \geq 0 , w & \geq 0\end{aligned}$$ ​
​
If there is no solution, do not fill the fields.
​ $p =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________
​ $w ^ { \prime } =$ __________

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Definitions:

Glomerular (Bowman's) Capsule

A cup-like sack at the beginning of the tubular component of a nephron in the kidney, playing a critical role in the filtration of blood to form urine.

Filters

Devices or processes used to remove impurities or separate substances.

Urea

A waste product formed in the liver during the breakdown of proteins, excreted in urine.

Urethra

A tube that connects the urinary bladder to the urinary meatus for the removal of fluids from the body.