Solve the following LPP using simplex method.

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Le Acce 1. Solve the following LPP using simplex method. Min. z = x1 – 3x2 + 2xz ST 3x1 - x2 + 2x3 5 7 -2x1 + 4x2 5 12 - 4xı

1. Solve the following LPP using simplex method.

Min. $z=x_{1}-3 x_{2}+2 x_{3}$

ST $3 x_{1}-x_{2}+2 x_{3} \leq 7$

$-2 x_{1}+4 x_{2} \leq 12$

$-4 x_{1}+3 x_{2}+8 x_{3} \leq 10$

$x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0$

business Operations-Management

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Step 1 : Rewrite forre: equations in Standard 3x, .x2+2x2 = => 3%, -42 +233 +5, :7 -23, +4+2 12. = -24, +4X2 +S, -12. -42, +3 $X, 42, S.,S2,3 20. =ep: 2 Adding variables to objective fraction, the 2=0,-322 + 2x₂ + Os, +032 (Minilize) tos,$ Step 3: Create simplest table - Step 4: when d,, z , lz :o $ , S2 712, § =10 steps: Per foom Opticality test Since there is s i & 녕 l -3 2 0 0 0 Bais 지 23 S 월 3 b g s, 3 ) 2 | oo 1 다 s o 11 월 이 t % % 6 o0o000, G-25,320 00 a 쪽씨 -2 +1 - + . 셸 (3) 4-Ax Step 6: Iterate towards optimal Solution. ^ hs) : 56 2,20 value = -143