Consider an online dating site with four men m1, m2, ma, m4 and four women w1, w2, wy, Wa. Suppose the dating site manages to compute a "compatibility" score for each couple as follows. mi| 9 8 m2 3 8 6. m4 2 3 4 (a) Suppose that individuals' preferences coincide exactly with the company's com- patibility score. Find a stable matching and show that it is unique. (b) Does this matching maximize the total compatibility of the matched couple? Explain why or why not. 62 5 00 4 N 5

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A: We solve this quadratic form by completing the square.

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A: Given,           27x3-216=0

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A: The solution is:

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