A town government is designing a new bus system and are deciding where to put the different bus stops. They want to pick the collection of locations that minimizes the distance anyone needs to walk in order to get to at least one bus stop. What term best defines the kind of problem? An optimization problem

An undecidable problem

An efficiency problem

A decision problem

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Suppose there is a relation r(a, b, c) with a b+-tree index with search keys (a, b).1. what is the worst-case cost of finding records satisfying 10 < a < 50 using this index, in terms of the number of records n1, retrieved and the height h of the tree? 2. what is the worst-case cost of finding records satisfying 10 < a < 50 and 5 < b < 10 using this index, in terms of the number of records n2 that satisfy this selection, as well as n1 and h defined above? 3. under what conditions on n1 and n2, would the index be an efficient way of finding records satisfying the condition from part (2)?