Rewrite the following linear programming problem in Standard form:
Minimise Z = 2x₁ + x₂ + 4x₃
Subject to the Constraints:
 -2x₁ + 4x₂ ≤ 4
 x₁ +2x₂ + x₃ ≥ 5
 2x₁ + 3x₃ ≤ 2
 x₁ ≥ 0, x₂ ≥0, x₃ ≥ 0 

To write the given linear programming problem in standard form, we need to convert it to the following form:

Minimize 

Subject to  and 

where x is the vector of decision variables, c is the vector of coefficients in the objective function, A is the matrix of coefficients in the constraints, and b is the vector of constants on the right-hand side of the constraints.

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