Tom distills blends of scotches. One customer asked for a blend of scotch. The customer asked for a blend of two scotches, A and B. Scotch A is high quality and Scotch B is cheap. The customer wants to assert the claim that the blend is of higher quality than the alternative. The customer requested 50 1500ml bottles of the blend. Each bottle must contain at least 48% of A and at least 500 ml of B. The customer also specified that the blend have a minimum alcohol content of 85%. Product is 95% alcohol and product B is 78%. The blend is sold for $12.50 per bottle. Product A costs $7 per liter and product B costs #3 per liter. The company wants to determine the blend that will meet the customer's request and maximize profit.

Formulate the Linear Programming Model including the decision variable, objective function, constraints, and restrictions.