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. Stock Linkna Logs Silly Buddy Hula Bowls Tattell Co Morton Bentley Shares (Millions) 1200 600 900 900 1400 Share Price Dec 31, 2016 $20 $40 $48 $106 $70 Share Price Dec 31, 2017 $18 $42 $60 $110 $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