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:

Resource

Assets, materials, or substances that provide economic value or benefit to individuals or businesses.

Extraction Cost

Refers to the expenses involved in removing natural resources from the earth, such as mining or drilling.

User Cost

The cost associated with using a durable asset over a period, including the depreciation of the asset and possibly other expenses like maintenance.

Transtheoretical Model

A theory of behavior change that outlines five stages individuals move through when modifying behavior, from precontemplation to maintenance.