In a Linear Programming Problem, the Binding Constraints for the Optimal

question 34

Short Answer

In a linear programming problem, the binding constraints for the optimal solution are
5X + 3Y $\le$ 30
2X + 5Y $\le$ 20
a.Fill in the blanks in the following sentence:
As long as the slope of the objective function stays between _______ and _______, the current optimal solution point will remain optimal.
b.Which of these objective functions will lead to the same optimal solution?
1) 2X + 1Y 2) 7X + 8Y 3) 80X + 60Y 4) 25X + 35Y

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Definitions:

False Ribs

The last 5 pairs of ribs that are not directly attached to the sternum but are connected to the true ribs above them.

Cranium

The part of the skull that encloses the brain, providing protection and structural support.

Breastbone

Also known as the sternum, it is a long flat bone located in the center of the chest, connecting to the ribs via cartilage to form the front part of the rib cage.

Thoracic Cage

The bony frame formed by the ribs, spine, and sternum, which encloses and protects the organs of the thorax.