Standard disclaimer: your solution should use the algorithms from class (DFS, BFS, Dijkstra’s, Topological Sort, Bellman-Ford, Floyd-Warshall, SCC, Kruskal’s, Prim’s, Ford-Fulkerson, Edmonds-Karp, and 2-SAT) as a black box subroutine for your algorithm. If you attempt to modify one of these algorithms you will not receive full credit, even if it is correct. Make sure to explain your algorithm in words (no pseudocode!), explain the correctness of your design, and state and analyze its running time. Faster—and correct—solutions are worth more credit.   The GaTech Tour is a collection of walking paths on campus, designed for visitors to get to know the university and its buildings. A morning tour includes Klaus, covering one side of campus, and an afternoon tour includes CCB covering the other half – with both tours keeping computing near and dear to visitors. You are given the task of refining the tour route to improve End of Tour Survey Net Promoter Scores. To simplify the problem, you are given an undirected, connected, weighted graph G = (V, E) where every vertex represents a building and every edge represents a path between two buildings; lengths l(e) > 0; K as a list of buildings that are part of the Klaus tour; and, C as a list of buildings that are part of the CCB tour. Every building is in exactly one of the two lists K or C. The requirements of the tour are: The tour must reach every building on campus and it should be possible to walk from any building to any other building The tour must be acyclic so visitors do not get lost or start to feel like all paths lead to Skiles The total length of the overall tour should be as long as possible, so visitors can fully enjoy the campus To avoid visitors missing the start of the afternoon tour, the transition time must be minimized Design an algorithm to output a map that meets the tour requirements.

Standard disclaimer: your solution should use the algorithms from class (DFS, BFS, Dijkstra’s, Topological Sort, Bellman-Ford, Floyd-Warshall, SCC, Kruskal’s, Prim’s, Ford-Fulkerson, Edmonds-Karp, and 2-SAT) as a black box subroutine for your algorithm. If you attempt to modify one of these algorithms you will not receive full credit, even if it is correct. Make sure to explain your algorithm in words (no pseudocode!), explain the correctness of your design, and state and analyze its running time. Faster—and correct—solutions are worth more credit. The most popular class at GaTech, CS59 Algorithms the Cuban Way, is held in multiple auditoriums. The instructor claims that a student, no matter where they are on campus, can reach an auditorium to attend the lectures.You are given a directed graph G = (V, E), where each vertex represents a building on campus, and each edge is a one-way path connecting two buildings. You are also given a list L, such that for any building i, L[i] is true if it has an auditorium where CS59 is offered, and false otherwise.Design an algorithm that verifies if the instructor’s claim is true, and returns false otherwise.

Which of the following firms would likely operate in a perfectly competitive market, given its characteristics?

Columbia Coffee Roasters competes in a perfectly competitive wholesale coffee market. The firm’s short-run total cost function is and its short-run marginal cost function is . If the market price per batch of roasted coffee is $66, calculate the profit-maximizing output and profit. Round your answers to the nearest cent. 

A perfectly competitive firm is a price-taker because it faces a perfectly inelastic demand curve.

A firm will enter a competitive market when it is earning a negative long-run profit.

Which of the following most closely resembles a perfectly competitive market? 

In a perfectly competitive market, an individual cannot influence the market price. 

Suppose several small apple orchards in Missouri are earning positive economic profits in the short-run. In the long-run, we would expect:

In a mid-sized town, dozens of small companies provide identical lawn mowing services for $50 per yard. GreenEdge Lawn Co. can mow as many lawns as its wants at that rate. What is the firm’s marginal revenue for completing one more yard?