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Optimizing Product Formulation for Profit Maximization and Material Efficiency

RMC Inc. faces an optimization challenge to maximize profit while using raw materials efficiently in product formulation. Given material quantities and profit margins per ton, the goal is to achieve a minimum profit of $1500 and a maximum usage of material 3, with specific proportions for fuel and solvent. This problem version involves the formulation variables X1 (fuel) and X2 (solvent) to meet the company's objectives effectively.

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Optimizing Product Formulation for Profit Maximization and Material Efficiency

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  1. RMC Inc. Problem, GP Summary Mixture in Product Raw Material Available Fuel Solvent Material 1 20 tons2/5 1/2 Material 2 5 tons- 1/5 Material 3 3/5 3/10 Profit $/ton 40 30 Goal 1: min $1500 profit Goal 2: max 19 tons material 3

  2. RMC Inc. Problem, Version 2 Formulation X1 = number of tons of fuel, positive X2 = number of tons of solvent, positive S.T. Material 1 Material 2 Material 3 Profit

  3. RMC Inc. Problem Version 2, GP Formulation

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