Construct the hypothetical phase diagram for metals A and B between room temperature (20°C) and 700°C, given the following information:
1. The melting temperature of metal A is 480°C.
2. The maximum solubility of B in A is 4 wt% B, which occurs at 420°C.
3. The solubility of B in A at room temperature is 0 wt% B.
4. One eutectic occurs at 420°C and 18 wt% B-82 wt% A.
5. A second eutectic occurs at 475°C and 42 wt% B-58 wt% A.
6. The intermetallic compound AB exists at a composition of 30 wt% B-70 wt% A,and melts congruently at 525°C.
7. The melting temperature of metal B is 600°C.
8. The maximum solubility of A in B is 13 wt% A, which occurs at 475°C.
9. The solubility of A in B at room temperature is 3 wt% A.