Let G = (V, E) be a directed graph with non-negative edge lengths `(e), e ? E that represents a road network. Alice is invited to a party at her friend Bob's house and she wants to buy dessert at a grocery store on the drive to his house. Just as she is about to leave she realizes that she may not have sufficient gas in her car to drive all the way to Bob's house. Her car can go at most a distance of R before the gas runs out. Describe an efficient algorithm to help Alice accomplish the task of reaching Bob's house with as little travel as feasible; she needs to buy dessert but may or may not need to fill gap. Assume Alice's house is at node s and Bob's house is at node t and that the grocery shops are given by a set X ? V and the gas stations by a set Y ? V. Assume that X, Y are disjoint sets. Also assume, for simplicity, that once Alice fills gas she can travel an infinite distance. Note that Alice could buy dessert either before or after filling up gas, as long as she does not run out of fuel on the way to the gas station. Express your running time as a function of n, the number of nodes, and m, the number of edges.

QUESTION 6 The following information pertains to Benedict Company. Assume that all balance sheet amounts represent average balance figures. Total assets: $300,000 Common stock: $125,000 Retained earnings: $25,000 Sales Revenue: $100,000 Net Income: $32,000 Common stock shares outstanding:4,000 Common dividends: $5,000 What is the return on common stockholders' equity ratio for Benedict? 25.6% 13.3% O 21.3% 10.79%CASE SUMMARY 15.4 Grobow v. Perot, 539 A.2d 180 (Del. 1988) BUSINESS JUDGMENT RULE (particularly EDS), and cease any criticism of GM's H. Ross Perot became the single largest shareholder directors. A group of GM shareholders sued the direc- and a director of General Motors as a result of GM's tors under the theory that the directors had breached acquisition of Perot's highly successful company their fiduciary duty by wasting corporate assets in buy- Electronic Data Systems (EDS). A rift grew between ing Perot's silence. The directors asserted the business Perot and GM's other directors. and after appointing judgment rule as a defense. a subcommittee of directors to study possible alterna- tives, GM's directors offered to purchase back Perot's CASE QUESTIONS sock at a significant premium over market value. In 1. Who prevails and why? exchange for the payment. Perot agreed to leave his 2. What fiduciary duty is at issue? director's seat, not compete with any GM subsidiaryQUESTION 28 Is a decision by a director to exercise a power for both a proper purpose and an improper purpose a breach of duty? O a. Yes, always. Ob. Yes, but only if, but for the improper purpose, the director would not have exercised the power. O c Yes, but only if, but for the proper purpose, the director would not have exercised the power. O d. No. QUESTION 29 Which of the following is not one of the requirements that must be satisfied before a director can rely on the Corporations Act 2001 (Cth)'s 187 to avoid liability for breach of the duty to act in the best interests of the company? O a, The company is a wholly owned subsidiary. O) b. The constitution of the company expressly authorises the director to act in the best interests of the parent company. c. The director acts in good faith in the best interests of the parent company. O) d. The company is insolvent at the time the director acts or becomes insolvent because of the director's act. QUESTION 30 The statutory business judgment rule allows the directors the benefit of a presumption that they are not in breach of which of their duties? C a. The duty to act in good faith in the best interests of the company. Click Save and Submit to save and submit. Click Save All Answers to save all answers. Surve MacBook Air$ 2-204. Formation in General. (1) A contract for sale of goods may be made in any manner suf- ficient to show agreement, including conduct by both parties which recognizes the existence of such a contract. (2) An agreement sufficient to constitute a contract for sale may be found even though the moment of its making is undetermined. (3) Even though one or more terms are left open a contract for sale does not fail for indefiniteness if the parties have intended to make a contract and there is a reasonably certain basis for giving an appropriate remedy.Discussion Board Question 0 The Uniform Commercial Code (UCC) Article 1 Part 2, Section 2- 204 describes contract "Formation in General." How can an "agreement sufficient to constitute a contract for sale" be found when "the moment of its making is undetermined?" Please look at UCC definitions and relevant provisions to support your answer. Your answer should be between 125 words and 300 words