AMC, tinc, is a smai firm that produces a varioty of chemical products. In a particulec production process, tiree raw materials are biended (enixed together) to grodute five products: s fuel adstive and a solvent base, Each ton of fuel additive is a moture of 2/5 ton of material 1 and 3/5 of material 3 . A ton of solvent base is a mature of 1/2 ton of matarial 1,1/5 tian of material 2 , and 3/10 ten of materies 3. Ater deducting relevant costs, the proft contribution is $40 for every tan of fuel additive produced and 130 for every ton of soivent base frofuced. Aswuming that puc is interetted in maximizing the tetal proft contribution, answer the following. (Assume F th the number of tons of fuel adotive and 5 is the number of tens of holvent baive). (o) What is the Intar programming model for this eroblem that maximbes proft (in dollan)? Max st. Material 1 Matent 2 Materala f,50 (b) Find the optmal selution using the craphical wivien procedure. Hew many tons of each product shouls be protuted? (f,g)=1 (c) Is there any unusod material? If so, how much (in tons)? (If there is no unused materia?, enter 0. ) Material1Material2Material3Bonstonstons (d) Are any of the constraints redundant? If so, which ones? (Select all that apply.) Material 1 constralet. Material z canstraint: Material 3 constraint No redundant constraints