My problem is (b), how do I classify all possible values of c ?

Thanks a lot.

5. (10 points) Let X be uniformly distributed on [0,6], where 0 E (0, 00) is an unknown parameter. (a) Given an i.i.d. sample of size n, X1, . . . ,Xn, construct an unbiased estimator of 6. (b) Consider a specic type of decisiori rules dc(X) = cX , c 2 0, and assume the quadratic loss function. For many values of c, c 2 0, dc is inadmissible. Comparing all dc(X), specify value(s) of c which may make dc(X) to be admissible