2) a) Construct the hypothetical eutectic phase diagram for metals A and B, which is similar to that for the lead-tin (Pb-Sn) system (Figure given above). Assume that (1) and phases exist at the A and B extremities of the phase diagram, respectively (2) the melting temperature of metal A is 1200 C (3)) the melting temperature of metal B is 900 C (4) the eutectic composition is 40 wt% A-60 wt% B (5) the eutectic occurs at 675 C (6) the maximum solubility of B in A is 15 wt%, which occurs at eutectic temperature (675 C) (7) the solubility of B in A is 3wt%, which occurs at room temperature (20 C). (8) the maximum solubility of A in B is 18 wt%, which occurs at eutectic temperature (675 C) (9) the solubility of A in B is 4 wt%, which occurs at room temperature (20 C). b) Determine the compositions of the phases and mass fractions of the phases for an alloy of composition 90 wt% A-10 wt% B at 850 C. c) Determine the mass fractions of the phases for an alloy of composition 40 wt% A-60 wt% B at 675 C and room temperature (20 C). d) Determine the mass fractions of the phases for an alloy of composition 30 wt% A-70 wt% B at room temperature (20 C).