Formulate the following problem as a linear optimization problem to determine weekly production schedule. You don’t need to solve the problem. Just formulate. Special Sweets Inc. produces four products using sugar cane syrup: brown sugar, white sugar, powdered sugar, and molasses. Weekly supply of sugar cane syrup is limited to 4,000 tons of syrup per week. They are expected to produce at least 25 tons of each of the three sugar types. The production process starts by producing brown sugar and molasses from sugar cane syrup. A ton of cane syrup produces 0.3 ton of brown 0.1 ton of molasses. White sugar is produced by processing brown sugar. It takes 1 ton of brown sugar to produce 0.8 ton of white sugar. Powdered sugar is produced from white sugar and it takes 1 ton of white sugar to produce 0.95 ton of powdered sugar. Profits per ton of brown sugar, white sugar, powdered sugar, and molasses are $150, $200, $230 and $35 respectively.
