$1)$ Given the following information construct a hypothetical phase diagram for

metals A and B between the temperatures of $400$ and $800$ o C given the following

information

$$ The two end member components are A and B

$$ The bottom axis should given in mol$\%$ B with $100$ mol$\%$ B being on the right side

of the diagram.

$$ The melting temperature of metal A is $750$ o C$.$

$$ The melting temperature of metal B is $700$ o C$.$

$$ One eutectic occurs at $600$ o C and $75$ mol$\%$ B$.$

$$ The maximum solubility of A in B is $15$ mol$\%$ A$,$ and occurs $600$ o C$.$

$$ The maximum solubility of B in A is $10$ mol$\%$ B and occurs $600$ o C$.$

$2)$ Label all regions on the phase diagram

$3)$ Sketch representations of the equilibrium microstructures for the phase diagram

above, for an A$-$B alloy of the eutectic composition at $750$ and $500$ o C draw the full phase diagram