5. (20 points) The following data shows prices of three types of fruits over ten years. Year Mango Orange Blackberry 1 50 100 150 55 115 155 60 100 125 55 110 130 63 120 120 65 110 125 70 105 140 75 120 170 60 130 160 10 65 135 175 Take year 1 as the base year. In that year the production of Mango, Orange, and Blackberry was 50, 25, and 15 thousand kilograms respectively. ) Find the un-weighted index of prices. b) Find the Laspeyres index for fruit prices. c) What is the change in price from year 6 to year 7 if you use un-weighted index. d) What is the change in price from year 6 to year 7 if you use Laspeyres index. e) is answer to c is different from answer to d. Explain your