Find the Maximum Value of the Objective Function and Where $\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)$

question 1

Multiple Choice

Find the maximum value of the objective function and where it occurs,subject to the constraints: ?
Objective function:
?
Z = x + 9y
?
Constraints:
?
X ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 21
?

• A)Maximum at (0,5): 45
• B)Maximum at \(\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)\) : \(\frac { 215 } { 6 }\)
• C)No maximum
• D)Maximum at (0,0): 0
• E)Maximum at \(\left( \frac { 21 } { 2 } , 0 \right)\) : \(\frac { 21 } { 2 }\)

---

Definitions:

Dim Light

A level of illumination that is lower than what is considered bright, often creating a subdued or intimate atmosphere.

Human Retina

The light-sensitive layer at the back of the eye that contains cells (rods and cones) which convert light into neural signals for vision.

Wavelength

The distance between successive peaks of a wave, often used to describe the physical property of light, sound, and other waves.

Dark Adaptation

The process by which the eyes become more sensitive to light in low illumination, improving the ability to see in darkness.