The equation of the line representing the constraint 4x₁+ 2x₂ ≤ 100 passes through the points: A) (25,0) and (0,50) B) (0,25) and (50,0) C) (−25,0) and (0,−50) D) (0,−25) and (−50,0)

Question

Quizplus · Accepted Answer

The equation given is 4x + 2y ≤ 100. To find the line that represents this constraint, we set the inequality to equality: 4x + 2y = 100. Solving for y when x = 0 gives y = 50, and solving for x when y = 0 gives x = 25. Therefore, the line passes through the points (25,0) and (0,50).

The Equation of the Line Representing the Constraint 4x1+ 2x2

The Equation of the Line Representing the Constraint 4x₁+ 2x₂