quantities of each raw material: material 1, 20 tons; material 2, 5 tons; material 3, 21 tons. Management wants to achieve the following P1 priority level goals. Goal 1: Produce at least 30 tons of fuel additive. Goal 2: Produce at least 15 tons of solvent base. Assume there are no other goals. (a) Is it possible for management to achieve both P1 level goals given the constraints on the amounts of each material available? If not, which constraint is the limiting factor? Yes. It is possible to satisfy both P1 level goals. No. There is an insufficient amount of Material 1. No. There is an insufficient amount of Material 2. No. There is an insufficient amount of Material 3. than the value of goal i, for i=1, 2.) Min s.t. Material 1 Material 2 Material 3 Goal 1 Gal ) xi,dnirdpi0,fori=1,2 (c) Use the graphical goal programming procedure to find the optimal solution for the model formulated in part (b). (x1,x2)=( (d) If goal 1 is twice as important as goal 2, what is the optimal product mix? quantities of each raw material: material 1, 20 tons; material 2, 5 tons; material 3, 21 tons. Management wants to achieve the following P1 priority level goals. Goal 1: Produce at least 30 tons of fuel additive. Goal 2: Produce at least 15 tons of solvent base. Assume there are no other goals. (a) Is it possible for management to achieve both P1 level goals given the constraints on the amounts of each material available? If not, which constraint is the limiting factor? Yes. It is possible to satisfy both P1 level goals. No. There is an insufficient amount of Material 1. No. There is an insufficient amount of Material 2. No. There is an insufficient amount of Material 3. than the value of goal i, for i=1, 2.) Min s.t. Material 1 Material 2 Material 3 Goal 1 Gal ) xi,dnirdpi0,fori=1,2 (c) Use the graphical goal programming procedure to find the optimal solution for the model formulated in part (b). (x1,x2)=( (d) If goal 1 is twice as important as goal 2, what is the optimal product mix