Use the graphical method to solve the following LPP:Maximize:

Question

Use the graphical method to solve the following LPP:
Maximize:

$$z = 2x_1 + 3x_2$
Subject to the constraints:
$$x_1 + x_2 \leq 30$
$$x_1 - x_2 \geq 0$
$$x_2 \geq 3$ $
$$0 \leq x_1 \leq 20$
and $$0 \leq x_2 \leq 12$ .

09 Jan 2026

Answer :

Word Count : 291

To solve the given Linear Programming Problem (LPP) using the graphical method, we follow these steps: 1. Identify the decision variables and constraints: Let the decision variables be (x) and (y). The LPP is: Maximize (Z = c_1 x + c_2 y) Subject to: [ a_1 x + b_1 y \leq k_1 ] [ a_2 x + b_2 y \leq k_2 ] [ a_3 x + b_3 y \leq k_3 ] [ _____ ___ _______ ____ ______ ___.
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