Rewrite the following linear programming problem in Standard form:Mi

Question

Rewrite the following linear programming problem in Standard form:
Minimise $Z = 2x_1 + x_2 + 4x_3$
Subject to the Constraints:
$-2x_1 + 4x_2 \leq 4$
$x_1 +2x_2 + x_3 \geq 5$
$2x_1 + 3x_3 \leq 2$
$x_1 \geq 0, x_2 \geq 0, x_3 \geq 0$

29 Feb 2024

Answer :

Word Count : 278

To rewrite the given linear programming problem in standard form, we need to express it in the following way: 1. Objective Function: Maximise (since the standard form usually involves maximisation) 2. Constraints: All constraints must be written as less-than-or-equal inequalities. 3. Non-negativity Constraints: Variables should be non-negative. ### Given Problem: Minimise: \[ Z = 2x_1 _________ _____ __________ __________ ___ ____ _______ ____.
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