Solve the Following Problem Graphically $\ge$ 27
7X + 6Y $\ge$ 42
4X + 8Y

question 13

Essay

Solve the following problem graphically.
Min
6X + 11Y
s.t.
9X + 3Y $\ge$ 27
7X + 6Y $\ge$ 42
4X + 8Y $\ge$ 32
X, Y $\ge$ 0 and integer
a.Graph the constraints for this problem.Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation.Round up to find a feasible integer solution.Is this solution optimal?
c.Find the optimal solution.

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Definitions:

Hypothalamus

A part of the brain situated under the thalamus, tasked with overseeing the autonomic nervous system and managing the pituitary gland to maintain various bodily functions such as temperature control, thirst, hunger, and other mechanisms that keep the body in a state of balance.

Spinal Cord

A long, thin, tubular structure made up of nervous tissue, which extends from the brain to the lower back, transmitting neural signals between the brain and the body.

Nervous System

The complex network of nerves and cells that transmit signals between different parts of the body, facilitating bodily functions and sensations.

Cerebrum

The largest part of the brain, responsible for voluntary activities, language, speech, sensory perception, and problem-solving.