please sir help

Consider a street represented by the interval [0, 1]. Three agents, {1, 2, 3}, live on this street. Agent 2' E {1, 2,3} lives at :12,- 6 [0,1] and assume that 131 5 3:2 5 3:3. Suppose we locate a hospital at a point p E [0,1] (a) We say p is square-optimal if it minimizes 2:1 (112,: p)2 Derive the square optimal value of p (b) We say 33 is absoluteoptimal if it minimizes 21, Ire, pl i. Argue that if p is absolute-optimal, then p 6 [3:1, 3:3] ii. Use this to derive an absolute-optimal p. (c) Now suppose that n agents, {1,2,3,...,n}, live on this street where 3:1 :1 :32 <_: . .. and n is an odd number. derive absolute-optimal p>