Assume that you run bucket sort using bubble sort to sort the buckets. (a) Assume that n/k buckets have k items (and the remaining buckets have no items). Exactly how many comparisons does bucket sort do? Show your work. (b) Assume that the first bucket has one item, the second bucket has two items, the third bucket has three items, etc., until there are no more items. You can assume that n = k(k + 1)/2 so that this works out evenly. How many comparisons does bucket sort do? Just get the exact high order term. Show your work.

3. ranga ramasesh is the operations manager for a firm that is trying to decide which one of four countries it should research for possible outsourcing providers. the first step is to select a country based on cultural risk factors, which are critical to eventual business success with the provider. ranga has reviewed outsourcing provider directories and found that the four countries in the table that follows have an ample number of providers from which they can choose. to aid in the country selection step, he has enlisted the aid of a cultural expert, john wang, who has provided ratings of the various criteria in the table. the resulting ratings are on a 1 to 10 scale, where 1 is a low risk and 10 is a high risk. john has also determined six criteria weightins: trust, with a weight of 0.3; quality, with 0.2; religious, with 0.1; individualism, with 0.2; time, with 0.1; and uncertainity, with 0.1. using the factor-rating method, which country should ranga select? why? (2 points)