A Linear Programming Problem Has Three Constraints: 2X + 10Y

question 6

Multiple Choice

A linear programming problem has three constraints: 2X + 10Y ≤ 1004X + 6Y ≤ 1206X + 3Y ≤ 90
What is the largest quantity of X that can be made without violating any of these constraints?

• A) 50
• B) 30
• C) 20
• D) 15
• E) 10

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Definitions:

Contractures

A permanent tightening of muscles, tendons, ligaments, or skin that restricts normal movement, often developing after prolonged immobilization or inactivity.

Plantar Flexion

The movement of bending the foot downward towards the sole, decreasing the angle between the foot and the leg.

Lower Legs

The part of the legs below the knee, including the calves and ankles, an area essential for mobility and support.

Osteoarthritis

A degenerative joint disease characterized by the breakdown of cartilage and underlying bone, leading to pain and stiffness, especially in the hips, knees, and thumb joints.