Maximize the Object Function $z = 4 x + 3 y$

question 66

Multiple Choice

Maximize the object function $z = 4 x + 3 y$ subject to the constraints $3 x + y \leq 15,4 x + 3 y \leq 30 , x \geq 0 , \text { and } y \geq 0$ .

• A)The maximum value is 24 along the line segment connection \(( 0,10 ) \text { and } ( 3,4 )\) .
• B)The maximum value is 30 along the line segment connection \(( 0,15 ) \text { and } ( 3,6 )\) .
• C)The maximum value is 30 along the line segment connection \(( 0,10 ) \text { and } ( 3,6 )\) .
• D)The maximum value is 24 along the line segment connection \(( 0,15 ) \text { and } ( 3,4 )\) .
• E)The maximum value is 30 along the line segment connection \(( 0,30 ) \text { and } ( 3,6 )\) .

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Definitions:

Neurons

Specialized cells of the nervous system that transmit signals throughout the body.

Support

Support refers to the provision of physical or emotional assistance to others, contributing to their well-being or relief.

Bone

A hard, dense connective tissue that forms the structure of the skeleton and performs functions such as support, protection, and blood cell production.

Blood Supply

The provision of blood through the circulatory system to different parts of the body, essential for delivering nutrients and oxygen and removing waste products.