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Fungsi Tujuan : Meminimumkan C=3×1+4X2 Fungsi Batasan : 1). 2X1+X2 >= 6.000 2). {:[x1+3x2 >= 9.000],[x1 >= 0","x2 >= 0]:}

11. Fungsi Tujuan : Meminimumkan C=3×1+4X2 \mathrm{C}=3 \times 1+4 \mathrm{X} 2 Fungsi Batasan : 11). 2X1+X2≥6.000 2 X 1+X 2 \geq 6.000 \newline22).\newlinex1+3x2≥9.000x1≥0,x2≥0 \begin{array}{l} x 1+3 x 2 \geq 9.000 \\ x 1 \geq 0, x 2 \geq 0 \end{array}

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Q. 11. Fungsi Tujuan : Meminimumkan C=3×1+4X2 \mathrm{C}=3 \times 1+4 \mathrm{X} 2 Fungsi Batasan : 11). 2X1+X2≥6.000 2 X 1+X 2 \geq 6.000 \newline22).\newlinex1+3x2≥9.000x1≥0,x2≥0 \begin{array}{l} x 1+3 x 2 \geq 9.000 \\ x 1 \geq 0, x 2 \geq 0 \end{array}
  1. Identify Objective Function: Identify the objective function and constraints.\newlineObjective function: C=3x1+4x2C=3x_1+4x_2\newlineConstraints: \newline11) 2x1+x2≥6,0002x_1+x_2 \geq 6,000\newline22) x1+3x2≥9,000x_1+3x_2 \geq 9,000\newline33) x1≥0x_1 \geq 0\newline44) x2≥0x_2 \geq 0
  2. Plot Constraints on Graph: Plot the constraints on a graph to find the feasible region.\newlineThis step involves drawing lines for each constraint and shading the area that satisfies all constraints.
  3. Find Intersection Points: Find the intersection points of the constraints.\newlineThis involves solving the system of inequalities.\newlineHowever, there's a mistake here; the constraints should be written as 2x1+x2≥62x_1+x_2 \geq 6 and x1+3x2≥9x_1+3x_2 \geq 9 (without the '.000.000').

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