Math Problem Statement
Max Z = 40x1 + 30x2 + 30x3 s.t 6x1 + 2x2 + 5x3 ≤ 200 4x1 + 5x2 + 3x3 ≤ 150 x1 , x2 , x3 ≥ 0
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Programming
Optimization
Simplex Method
Formulas
Objective function: Z = 40x1 + 30x2 + 30x3
Constraint 1: 6x1 + 2x2 + 5x3 ≤ 200
Constraint 2: 4x1 + 5x2 + 3x3 ≤ 150
Slack variables: s1, s2
Theorems
Simplex Method
Suitable Grade Level
University-level or Advanced High School
Related Recommendation
Solving a Linear Programming Problem Using the Simplex Method
Maximizing a Linear Programming Problem using the Simplex Method
Maximizing Z = 20x + 50y Using the Simplex Method
Solve Linear Programming Problem using Simplex Method: Maximize P = 30x1 + 40x2
Maximizing Linear Function with Simplex Method - Linear Programming Example