1. It is desired to produce an iron–carbon alloy that has a minimum hardness of 200 HB and a minimum ductility of 35%RA. Is such an alloy possible? If so, what will be its composition and microstructure (coarse and fine pearlites and spheroidite are alternatives)? If this is not possible, explain why.2.Task 4It is necessary to select a ceramic material to be stressed using a three-point loading scheme (Figure 12.32). The specimen must have a circular cross section, a radius of 3.8 mm (0.15 in.), and must not experience fracture or a deflection of more than 0.021 mm (8.5 x 10-4 in.) at its center when a load of 445 N (100 lbf) is applied. If the distance between support points is 50.8 mm (2 in.), which of the materials in Table 12.5 are candidates? The magnitude of the centerpoint deflection may be computed using the equation supplied in Problem 12.41. Solution: