Petrol 2 Petrol 3 5,600 1,000 ExxonMobil considers meeting its contractual obligations related to client demands for gasoline products to be a non-negotiable obligation. In addition to the associated purchase costs, it also costs $4 to process one barrel of crude oil into one barrel of finished gasoline product. ExxonMobil fears that their Beaumont Facility is operating at a point below optimal margin and is thus not achieving maximum profitability. Accordingly, ExxonMobil has hired you as a consultant to optimize the operations of the plant. In Question 21 and Question 22, you will complete optimization of ExxonMobil's Beaumont Facility operations. Hint 1: More octane content is good, and less octane content is less good. Less sulfur content is good, and more sulfur content is bad. Hint 2: As a consultant, it is important to understand who is paying for your services so that you know exactly which services you are expected to provide. In this case, you have been hired by the client ExxonMobil, which is a profit-driven company. Hint 3: You do not need to do anything special to obtain your initial guess values for this problem. You simply need to make a guess. Hint 4: Assume that no fuel inventory is retained. That is, assume that all fuel produced is immediately sold. Use the following prompt to Answer Questions 21 and 22 ExxonMobil's Beaumont, Texas facility manufactures 3 different types of finished gasoline product: petrol 1, petrol 2, and petrol 3. Each of gasolines is produced by blending 3 different types of crude oil in various combinations. The 3 types of finished gasoline product each differ in their octane rating and sulfur content. The sales price per barrel of finished gasoline blend, and the purchase piece per barrel of crude are provided in the following table: Gasoline Sale Price Purchase Price Crude Blend Petrol 1 [$/barrel] Type [$/barrel] $90.00 Crude 1 $85.00 Petrol 2 Petrol 3 $150.00 $110.00 Crude 2 $80.00 Crude 3 $77.00 The crude oil blended to form Petrol 1 must have an average octane rate of at least 10 pounds per finished barrel, and contain, at most, 1 pounds per finished barrel sulfur. The crude oil blended to form Petrol 2 must have an average octane rate of at least 8 pounds per finished barrel, and contain, at most, 2 pounds per finished barrel sulfur. The crude oil blended to form Petrol 3 must have an average octane rate of at least 6 pounds per finished barrel, and contain, at most, 1 pounds per finished barrel sulfur. The octane rating and sulfur content of each of the three types of crude oil are provided in the following table: Crude Octane Rating Sulfur Content Blend [lb/barrel] [lb/barrel] Crude 1 12 0.5 Crude 2 6 2.0 Crude 3 10 1.8 The ExxonMobil Beaumont Facility can purchase up to 6,500 barrels of each type of crude per day and produce up to 21,000 barrels total of finished gasoline product per day. The clients purchasing finished gasoline product from the Beaumont Facility hold contracts with Exxon Mobil that require the company provide them with following amounts of gasoline each day: Gasoline Blend Demand [barrels/day] Petrol 1 3,200 8