Algebra Consider the constraints y≤-2x+4, y+1≥ 2x, y-2x≤ 3, x, y ≥ 0. (a) Plot the constraints and shade the feasible region. In your plot, label each line which forms the boundary of the feasible region. (b) Write the feasible region in matrix-vector form Ax ≤ b, x ≥ 0. (c) Find all vertices of the feasible region.

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Algebra
Consider the constraints
y≤-2x +4,
y+1≥ 2x,
y-2x≤ 3,
x, y ≥ 0.
(a) Plot the constraints and shade the feasible region. In your plot,
label each line which forms the boundary of the feasible region.
(b) Write the feasible region in matrix-vector form Ax ≤ b, x > 0.
(c) Find all vertices of the feasible region.
Transcribed Image Text:Algebra Consider the constraints y≤-2x +4, y+1≥ 2x, y-2x≤ 3, x, y ≥ 0. (a) Plot the constraints and shade the feasible region. In your plot, label each line which forms the boundary of the feasible region. (b) Write the feasible region in matrix-vector form Ax ≤ b, x > 0. (c) Find all vertices of the feasible region.
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