The PLAY Index is a price weighted stock index based on the 5 largest toy and game manufacturers in the nation. The following chart shows the prices and shares outstanding for each of the five companies at year-end for 2016 and 2017. The initial divisor for the index is 100. Share Price Share Price Stock Shares (Millions) Dec 31, 2016 Dec 31, 2017 Linkna Logs 1200 $20 $18 Silly Buddy 600 $40 $42 Hula Bowls 900 $48 $60 Tattell Co 900 $106 $110 Morton Bentley 1400 $70 $70 a) Calculate the rate of return on the PLAY index over 2017. b) At the end of 2017, Linkna Logs was dropped from the index, and was replaced by Loggle Corporation. Loggle's share price was $166 at the time. Calculate the new divisor for the index. c) Suppose the PLAY index was a value-weighted index instead of a price-weighted index. If so, what would be the rate of return over 2017?