Select the Region Determined by the Constraints

question 25

Multiple Choice

Select the region determined by the constraints.Then find the minimum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 7x + 6y
​
Constraints:
​
X ≥ 0
​y ≥ 0
5x + 2y ≤ 20
5x + y ≥ 10
​

• A) ​Minimum at (2,0): 14
• B) Minimum at (0,2): 15
• C) Minimum at (0,10): 60
• D) Minimum at (0,4): 29
• E) Minimum at (4,0): 14

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Definitions:

Tectospinal Tract

A neural pathway involved in reflex movements of the head in response to visual and auditory stimuli.

Anterior Corticospinal Tract

A bundle of nerve fibers in the spinal cord involved in the voluntary movement of muscles, particularly influencing axial muscles.

Lateral Spinothalamic Tract

A neuron pathway within the spinal cord responsible for transmitting pain and temperature sensations to the brain.

Proprioception

The sense of the relative position of one's own parts of the body and strength of effort being employed in movement.