Find the Minimum Value of the Objective Function and Where $\ge$

question 297

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the constraints:
Objective function:

Z = x + 4y

Constraints:

X $\ge$ 0
Y $\ge$ 0
X + 4y $\le$ 20
X + y $\le$ 18
2x + 2y $\le$ 21

• A)Minimum at (0, 0): 0
• B)Minimum at (0, 5): 20
• C)Minimum at (0, 18): 72
• D)Minimum at \(\left( 0 , \frac { 21 } { 2 } \right) : 42\)
• E)No minimum

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Definitions:

Loose Connective Tissue

Loose connective tissue is a type of connective tissue characterized by loosely interwoven fibers that provide support and elasticity in various body parts.

Simple Squamous Epithelium

A type of epithelial tissue consisting of a single layer of flat, scale-like cells, involved in functions like diffusion and filtration in various organs.

Brachiocephalic Vein

A major vein formed by the union of the internal jugular and subclavian veins that carries deoxygenated blood to the heart.

Internal Iliac Vein

A vein that drains blood from the pelvis and lower limbs back towards the heart, merging with the external iliac vein to form the common iliac vein.