Written Assignment #2 the Selffridge Conway Method

3. We use the Selfridge-Conway Method if Tara is the Trimmer and Charlotte is the Chooser. . Dakota Divides as above. Tara identifies Part B as the largest followed by Part A. These two parts are not worth the same to Tara, so she trims Part B: The the trimmed part B* consists of 1/3 bag of sapphires and 7/6 bags of emeralds (Parts B* and A are tied at $60,000) and so the trimming T consists of 1/6 bags of sapphires and 1/3 bags of friends. emeralds. Complete the following table with the value of Part B* for each of the three Dakota Tara Part B* Charlotte 1/3 bag of sapphires, 7/6 bags of emeralds . Who choses next? What part does she choose? (Part A, B*, or C) . Who choses next? What part does she choose? (Part A, B*, or C) Who choses next? What part does she choose? (Part A, B*, or C) . The trimming T (1/6 bags of sapphires and 1/3 bags of emeralds) is divided by into the following three pieces: Piece D consists of 2/27 bags of sapphires and 1/18 bags of emeralds Piece E consists of 5/54 bags of sapphires Piece F consists of 5/18 bags of emeralds . Complete the following table with the value of each piece for each of the three friends. Dakota Tara Charlotte Piece D Piece E Piece F . Who choses first? What piece of the trimming does she choose? (D, E, or F) . Who choses next? What piece of the trimming does she choose? (D, E, or F) . Who choses last? What piece of the trimming does she choose? (D, E, or F) bags of emeralds . At the end, Dakota gets bags of sapphires and Tara gets bags of sapphires and bags of emeralds bags of emeralds Charlotte gets bags of sapphires and 583 + + 35 - 162, 000 Written Assignment 2. The Selfridge-Conway Method* Suppose that three jewelers, Dakota, Tara, and Charlotte, own 3 bags of sapphires and 3 bags of emeralds worth a total of $162,000. Dakota does not have a preference for any of the stones, Tara values emeralds four times as much as sapphires, and Charlotte values sapphires three times as much as emeralds. 1. Complete the following table with the values of a bag of sapphires and a bag of emeralds for each of the three friends. 162, 000 Dakota s=e Tara 9 = 45 Charlotte S = 3e Value of a bag of sapphires Value of a bag of emeralds 2. Suppose that the three jewelers are using the Selfridge-Conway Method to divide the stones. Dakota is the Divider and starts by dividing the stone into three parts as follows. Part A: 1 bag of sapphires and 1bag of emeralds Part B: 0.5 bags of sapphires and 1.5 bags of emeralds Part C: 1.5 bags of sapphires and 0.5 bags of emeralds Complete the following table with the values of each part for each of the three friends. Dakota Tara Charlotte Part A 1 bag of sapphires, 1 bag of emeralds Part B 0.5 bags of sapphires, 1.5 bags of emeralds Part C 1.5 bags of sapphires, 0.5 bags of emeralds 57