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