Math Problem Statement
Mini z=12x1+20x2
STC
6x1+8x2 ≥100
7x1+12x2 ≥120
X1,X2>=0
Solve using big M method
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Big M Method
Optimization
Formulas
Objective function: z = 12x1 + 20x2
Constraints: 6x1 + 8x2 ≥ 100, 7x1 + 12x2 ≥ 120
Big M method formulation: z = 12x1 + 20x2 + M(A1 + A2)
Theorems
Simplex Method
Big M Method
Suitable Grade Level
Grades 11-12 or Undergraduate