The Linear Programming Problem Has an Unusual Characteristic

question 19

Multiple Choice

The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the minimum value of the objective function (if possible) and where it occurs. ​
Z = x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X + y ≤ 1
3x + y ≤ 6
​

• A)​ The constraint 3x + y ≤ 6 is extraneous.Minimum at (1,1): 9
• B)​ The constraint 3x + y ≤ 6 is extraneous.No minimum.
• C)​ The constraint 3x + y ≤ 6 is extraneous.Minimum at (1,0): 4
• D) The constraint 3x + y ≤ 6 is extraneous.Minimum at (0,0): 0
• E)​ The constraint 3x + y ≤ 6 is extraneous.Minimum at (0,1): 5

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Definitions:

Femoral Vein

A major blood vessel in the thigh that carries deoxygenated blood from the lower limb back to the heart.

Anterior Tibial Vein

The anterior tibial vein is a blood vessel that drains oxygen-depleted blood from the front portion of the lower leg to the popliteal vein.

Elastic Tissue

A type of connective tissue composed of elastic fibers that allows many tissues in the body to resume their shape after stretching or contracting.

Smooth Muscle

This type of muscle is found within the walls of hollow organs such as blood vessels, the gastrointestinal tract, and the bladder, controlling involuntary movements.