Find the Minimum and Maximum Values of the Objective Function $$\left\{ \begin{array} { l } y \geq 0 \\x - y \geq - 2 \\2 x + 3 y \geq 6 \\5 x + 2 y \leq 25\end{array} \right.$$

question 27

Multiple Choice

Find the minimum and maximum values of the objective function and where it occurs,subject to the indicated constraints. Objective function:
Z = 3x + 4y
Constraints: $$\left\{ \begin{array} { l } y \geq 0 \\x - y \geq - 2 \\2 x + 3 y \geq 6 \\5 x + 2 y \leq 25\end{array} \right.$$ ?

• A)minimum = 8 at (0,2);maximum = 29 at (3,5)
• B)minimum = -11 at (3,5);maximum = 15 at (5,0)
• C)minimum = 8 at (0,2);maximum = 27 at (3,5)
• D)minimum = 0 at (0,0);maximum = 29 at (3,5)
• E)minimum = 9 at (3,0);maximum = 15 at (5,0)

---

Definitions:

Nausea

A sensation of unease and discomfort in the stomach with an urge to vomit.

Celiac Disease

An autoimmune disorder where ingestion of gluten leads to damage in the small intestine.

Quinoa

A grain crop known for its edible seeds, which are rich in protein, fiber, and various vitamins and minerals.

Wild Rice

A type of grass that produces edible grains, often found in shallow water or flood plains, and considered a delicacy in many cuisines.