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.
​ $c =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________

---

Definitions:

Active Transport Molecules

Substances involved in the movement of ions and other molecular substances across cell membranes against a concentration gradient, requiring energy.

Plasma Membrane

A bi-layer of lipids with embedded proteins that surrounds a cell, controlling the movement of substances in and out of the cell.

Acini Cells

Secretory cells in the pancreas forming the acini, which are small clusters producing digestive enzymes released into the digestive tract.

Alpha Cells

Cells located in the pancreas that produce glucagon, a hormone that raises blood glucose levels.