Dijkstra’s shortest path algorithm is designed to find the shortest path between nodes in a graph. This can be applied to various scenarios, such as routing problems, network optimization, and in this case, determining the most fuel-efficient flight plan. The algorithm works by iteratively selecting the unvisited vertex with the smallest tentative distance from the source, then visiting the neighbors of this vertex and updating their tentative distances if a shorter path is found. This process continues until the destination vertex is reached or all reachable vertices have been visited.

In the context of the given options, Dijkstra’s algorithm is best suited for option B, where the goal is to find the most fuel-efficient path (i.e., the shortest path) between multiple points (coordinates of five positions). The algorithm is not designed to solve problems like searching for an element in an array (option A), finding the longest common subsequence (option C), or searching for a name in a list (option D).