Minimize
​ $c = 2.2 x + y + 3.3 z$

question 141

Short Answer

Minimize
​ $c = 2.2 x + y + 3.3 z$ ​
subject to
​ $$\begin{aligned}x + 1.5 y + 1.2 z & \geq 100 \\2 x + 1.5 y & \geq 40 \\1.5 y + 1.1 z & \geq 40 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$ ​
Round answers to two decimal places, if necessary.
​
If there is no solution, do not fill the fields.
​ $c =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________

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Definitions:

Mutualistic Relationship

A type of interaction between two different species where both individuals derive a benefit.

Red-Billed Oxpecker

A bird species known for feeding on ticks and parasites found on the skin of large mammals, such as cattle and wild ungulates.

Ticks

Small arachnids, part of the order Ixodida, which are ectoparasites living by hematophagy on the blood of mammals, birds, and sometimes reptiles and amphibians, known for transmitting various diseases.

Commensalism

A relationship between two organisms where one benefits and the other is neither harmed nor benefited.