Just formulate the problem. No need to solve it.

3. (10 Points) OleCo produces two products, regular and premium industrial lubricants. The two products are produced from six ingredients: reformate, fluid catalytic cracker gasoline (FCG), isomerate (ISO), polymer (POL), MTBE and butane (BUT). Each of these ingredients has four attributes: research octane number (RON), RVP, ASTM volatility at 80 degrees C and ASTM volatility at 140 degrees C. The daily availability, in liters, of each input, the cost ($/liter), and the values of the four attributes for each input, is given in Table 1. The requirements for each product are given in Table 2, along with the daily demand in liters. The demands must be met, and can be exceeded if desired. The RON and ASTM requirements are minimums. The RVP requirement is a maximum allowable level. At most 41% of each type of lubricant can consist of FCG. Attribute levels for the final products are the weighted average, by volume, of the ingredient attributes. For example, if two liters of Reformate were mixed with three liters of FCG, the resulting mixture would have a RON value of: (2 x 98.9) + (3 x 93.2) 2 +3 477.4 5 95.48 The regular lubricant sells for $13.75 per liter, while the premium lubricant sells for $14.07 per liter. Formulate an LP whose solution will maximize OleCo's daily profit. Solve your LP using software and report your results by filling in Table 3. In addition to filling in Table 3, be sure you show your linear program formulation and the definitions of all your decision variables. Also report the optimal daily profit for OleCo. Cost/lit Avail RON RVP ASTM(80) ASTM(140) Reformate $4.53 15,572 98.9 7.66 -5 46 FCG $10.19 15,434 93.2 9.78 57 103 ISO $7.86 6,709 86.1 29.52 107 100 POL $8.32 1,190 97.0 14.51 7 73 MTBE $11.16 748 117.0 13.45 98 100 BUT $9.14 unlim 98.0 166.99 130 100 Table 1: Ingredient Characteristics and Costs RVP ASTM(80) ASTM(140) Demand RON (liters) 9,800 90 30,000 96 10 Regular Premium 21.18 19.73 50 70 20 Table 2: Product Attribute Requirements 3. (10 Points) OleCo produces two products, regular and premium industrial lubricants. The two products are produced from six ingredients: reformate, fluid catalytic cracker gasoline (FCG), isomerate (ISO), polymer (POL), MTBE and butane (BUT). Each of these ingredients has four attributes: research octane number (RON), RVP, ASTM volatility at 80 degrees C and ASTM volatility at 140 degrees C. The daily availability, in liters, of each input, the cost ($/liter), and the values of the four attributes for each input, is given in Table 1. The requirements for each product are given in Table 2, along with the daily demand in liters. The demands must be met, and can be exceeded if desired. The RON and ASTM requirements are minimums. The RVP requirement is a maximum allowable level. At most 41% of each type of lubricant can consist of FCG. Attribute levels for the final products are the weighted average, by volume, of the ingredient attributes. For example, if two liters of Reformate were mixed with three liters of FCG, the resulting mixture would have a RON value of: (2 x 98.9) + (3 x 93.2) 2 +3 477.4 5 95.48 The regular lubricant sells for $13.75 per liter, while the premium lubricant sells for $14.07 per liter. Formulate an LP whose solution will maximize OleCo's daily profit. Solve your LP using software and report your results by filling in Table 3. In addition to filling in Table 3, be sure you show your linear program formulation and the definitions of all your decision variables. Also report the optimal daily profit for OleCo. Cost/lit Avail RON RVP ASTM(80) ASTM(140) Reformate $4.53 15,572 98.9 7.66 -5 46 FCG $10.19 15,434 93.2 9.78 57 103 ISO $7.86 6,709 86.1 29.52 107 100 POL $8.32 1,190 97.0 14.51 7 73 MTBE $11.16 748 117.0 13.45 98 100 BUT $9.14 unlim 98.0 166.99 130 100 Table 1: Ingredient Characteristics and Costs RVP ASTM(80) ASTM(140) Demand RON (liters) 9,800 90 30,000 96 10 Regular Premium 21.18 19.73 50 70 20 Table 2: Product Attribute Requirements