Solve the Following Problem Graphically $\operatorname { Max } \quad\quad\quad 5 \mathrm { X } + 6 \mathrm { Y }$

question 24

Essay

Solve the following problem graphically. $\operatorname { Max } \quad\quad\quad 5 \mathrm { X } + 6 \mathrm { Y }$
s.t. $\quad\quad\quad17 \mathrm { X } + 8 \mathrm { Y } \leq 136$
$\quad\quad\quad\quad3 \mathrm { X } + 4 \mathrm { Y } \leq 36$
$\quad\quad\quad\mathrm { X } , \mathrm { Y } \geq 0$ and integer
a.Graph the constraints for this problem.Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation.Round down to find a feasible integer solution.Is this solution optimal?
c.Find the optimal solution.

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Definitions:

Anatomical Deviation

A variation from the normal anatomical structure or position, which may be congenital or acquired.

Unconscious Causes

Factors that influence behavior and decisions without the individual's awareness.

Alphabetical Classification

A method of organizing items or information according to the sequence of letters in the alphabet.

Categorical Classification

The organization of items into distinct categories based on specific criteria, often used in the classification of mental disorders.