Three investors are dividing a piece of land worth $300,000. Each investor's value in thousands for each of the three pieces of the land is shownbelow. Which piece does each person receive? Do they receive a fair share using the lone divider method?Piece 1Piece 2Piece 3Henry80100120Juan100100100Sarah6090150Henry's bid: Piece 2 and Piece 3Sarah's bid: Piece 3Henry receives Piece 2, Sarah receives 3, and Juan receives Piece 1. Everyone receives a fair share.abHenry receives Piece 3, Sarah receives 3, and Juan receives Piece 2. Everyone receives a fair share.CHenry receives Piece 2, Sarah receives 3, and Juan receives Piece 1. No one receives a fair share.dHenry receives Piece 2, Sarah receives 1, and Juan receives Piece 3. Everyone receives a fair share.O O O O

Answered: Three investors are dividing a piece of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Two construction companies, Giant and Sky, bid for the right to build in a field. The possible bids are $ 10 Million, $ 20 Million, $ 30 Million, S 35 Million and S 40 Million. The winner is the company with the higher bid. The two companies decide that in the case of a tie (equal bids), Giant is the winner and will get the field. Giant has ordered a survey and, based on the report from the survey, 1 concludes that getting the field for more than $ 35 Million is as bad as not getting it (assume loss), except in case of a tie (assume win) Sky is not aware of this survey. (a) State reasons why/how this game can be described as a two-players zero-sum game [
The table shows the results of a country's census. 105 seats must be divided among the 15 states according to their populations. Use Adams's method with d = 36,300 to find each state's apportionment of congressional seats. A 331,986 236,749 55,924 70,160 66,143 278,150 475,658 123,382 179,965 B J 353,970 K 432,326 68,926 206,896 D L E F N 84,883 G 630,164 H Fill in the table to indicate the correct number of seats apportioned to each state. State Seats A 7 C 2 D 2 E 8 F J
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This set-up is used for the following three problems. Mahmud, Katya, and Safiya are dividing an estate consisting of a house and a car, using the Method of Sealed Bids. Their bids on each of the items are given in the following table. Mahmud Katya Safiya House $260,000 $250,000 $290,000 Car $22,000 $20,000 $19,000 Determine the value of a fair share to Katya. Group of answer choices $90,000 $135,000 $180,000 $270,000
Multiple choice: Choose the correct answer. Options: A. 5P2= 20 ways B.5P3=60 ways C. 6P2=30 ways D. 6P3=120 ways
2. Lisa and Mike are partners in a business. The income that the business earns is divided between Lisa and Mike in a 2:3 ratio respectively. Their business earned an income of $250,000 this year. How much will Lisa receive? 3. Trisha and Michael decided to start a business. They decided that Trisha will work at the store full time and Michael will work half time. Trisha and Michael's workload expressed as a ratio respectively would be: 7. The Elegant Farmer grocery store buys bushels of apples each week. Calculate the weighted average price paid per bushel based on the following information for the month of June: Week Number of Bushels Price Per Bushel Total Cost 1 250 1.22 305.00 2 150 1.41 211.50 3 143 1.38 197.34 4 194 1.27 246.38 Total 737 960.22 $
A father and his three children decide to hold a vote to select an after dinner activity. They will either see a play or a movie. If the majority of the family agrees on a preferred activity, then they will do that activity. If two family members vote to see a play and the other two family members vote to watch a movie, then (since the father will pay for the activity), the father's vote will be used to break the tie. (a) How many winning coalitions are there in this situation? (b) Find one of the children's Banzhaf power index.

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