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Solve the Following Problem Graphically

question 51

Essay

Solve the following problem graphically.
Min
6X + 11Y
s.t.
9X + 3Y ≥ 27
7X + 6Y ≥ 42
4X + 8Y ≥ 32
X, Y ≥ 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.


Definitions:

Client's Skin

The external covering or integument of a client's body, which may be assessed for signs of illness, infection, or other medical conditions.

Saline Lock

A small, sterile tube inserted into a vein, locked with saline solution, and used for quick access to the bloodstream for medication or fluid delivery.

Aspirating

The act of inhaling fluid or foreign bodies into the airway or lungs, which can cause respiratory distress or infection.

Blood Return

The observation of blood flowing back into a syringe or catheter, indicating successful venous or arterial access during medical procedures.

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