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# Order to make gallons of percent beer i e with alcoholic content the following is what you have

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t you have in stocks besides unlimited supply of water (0% alcoholic content, 0 in cost): Beer ;Alcohol content; Cost per gallon; In stock (gallons) Low; 0.25%; 0.55; 500 Light; 2.50%; 0.65; 500 Heavy; 4.50%; 0.80; 500 Dark; 6.00%; 0.75; 500 What is the mix of existing beer (and water) to make 1500 gallons of 3 percent beer with the minimum cost? 1. Show the mathematical formulation of the optimization problem (decision variables, objective, and constraints) 2. What is the optimal mix of the existing beer (and water) to meet the order requirement? 3. What is the minimum cost incurred? 4. If the optimal mix maintains its pattern, without re-solving the problem, construct the new optimal mix of existing beer (and water) to make 1600 gallons of the 3 percent beer
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