Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Programming
Optimization
Nutritional Analysis
Formulas
Minimize Z = c1 * x1 + c2 * x2 + ... + c7 * x7
900 ≤ a1 * x1 + a2 * x2 + ... + a7 * x7 ≤ 1500 (Calories)
b1 * x1 + b2 * x2 + ... + b7 * x7 ≥ 4 (Iron)
f1 * x1 + f2 * x2 + ... + f7 * x7 ≤ 50 (Fat)
p1 * x1 + p2 * x2 + ... + p7 * x7 ≥ 26 (Protein)
carb1 * x1 + carb2 * x2 + ... + carb7 * x7 ≤ 50 (Carbohydrates)
Theorems
Simplex Algorithm
Feasibility Theorem
Suitable Grade Level
College/University
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