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Cost per Pound ($) Ingredient Beginning Ending Quantity (pounds) per 100 Pounds of Product 1.50 B C 8.75 0.99 3.45 9.90 0.90 25 10 50 (a) Compute the price relatives for the three ingredients. Item Price Relative (b) Compute a weighted average of the price relatives to develop a one-year cost index for raw materials used in the product. What is your interpretation of this index value? Cost of raw materials is up % for the chemical. Unit Price ($) Item 2011 Quantity (cases) 2011 2014 Beer 35,000 18.50 20.15 Wine 5,000 100.00 120.00 70,000 8.00 8.80 Compute the price relatives for this company's products. (Round your answers to two decimal places.) Item Price Relative Beer Wine Soft drink Use a weighted average of price relatives to show that this method provides the same index as the weighted aggregate method. weighted average of price relatives index weighted aggregate price index TIL TUNIUVITY LADIC TEPUIS PULLS allu usaye yualiLILIES IUI LVU ILOITSI 2009 dilu 2011. NUMU your allsweis LU Le col CSL TIL Item Quantity Unit Price (s) 2009 2011 | 2009 2011 1,500 1,600 7.50 7.75 A B 2 1 650.00 1,500.00 (a) Compute price relatives for each item in 2011 using 2009 as the base period. Item Price Relative (b) Compute an unweighted aggregate price index for the two items in 2011 using 2009 as the base period. 2011 - (c) Compute a weighted aggregate price index for the two items using the Laspeyres method using 2009 as the base period. 12011 = ! (d) Compute a weighted aggregate price index for the two items using the Paasche method using 2009 as the base period. 2011 = Unit Price ($) Product Ending Inventory Beginning Ending 500 0.15 0.19 B 1.40 1.80 50 100 60 4.50 4.20 D 12.00 13.60 Use the beginning-of-the-year price per unit as the base-period price and develop a weighted aggregate index for the total inventory value at the end of the year. I = What type of weighted aggregate price index must be developed for the LIFO inventory valuation? Laspeyres Index O Paasche index A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products. Mean Shipping Cost per Unit ($) Products Base-Period Quantities (Year 1) Year 1 Year 5 2,500 10.50 15.90 5,000 16.25 32.00 7,000 12.20 18.40 2,500 20.00 35.50 Use the price data to compute a Paasche index for the shipping cost if year 5 quantities are 3,500, 3,000, 7,000, and 3,000 for products A, B, C, and D, respectively. ( Cost per Pound ($) Ingredient Beginning Ending Quantity (pounds) per 100 Pounds of Product 1.50 B C 8.75 0.99 3.45 9.90 0.90 25 10 50 (a) Compute the price relatives for the three ingredients. Item Price Relative (b) Compute a weighted average of the price relatives to develop a one-year cost index for raw materials used in the product. What is your interpretation of this index value? Cost of raw materials is up % for the chemical. Unit Price ($) Item 2011 Quantity (cases) 2011 2014 Beer 35,000 18.50 20.15 Wine 5,000 100.00 120.00 70,000 8.00 8.80 Compute the price relatives for this company's products. (Round your answers to two decimal places.) Item Price Relative Beer Wine Soft drink Use a weighted average of price relatives to show that this method provides the same index as the weighted aggregate method. weighted average of price relatives index weighted aggregate price index TIL TUNIUVITY LADIC TEPUIS PULLS allu usaye yualiLILIES IUI LVU ILOITSI 2009 dilu 2011. NUMU your allsweis LU Le col CSL TIL Item Quantity Unit Price (s) 2009 2011 | 2009 2011 1,500 1,600 7.50 7.75 A B 2 1 650.00 1,500.00 (a) Compute price relatives for each item in 2011 using 2009 as the base period. Item Price Relative (b) Compute an unweighted aggregate price index for the two items in 2011 using 2009 as the base period. 2011 - (c) Compute a weighted aggregate price index for the two items using the Laspeyres method using 2009 as the base period. 12011 = ! (d) Compute a weighted aggregate price index for the two items using the Paasche method using 2009 as the base period. 2011 = Unit Price ($) Product Ending Inventory Beginning Ending 500 0.15 0.19 B 1.40 1.80 50 100 60 4.50 4.20 D 12.00 13.60 Use the beginning-of-the-year price per unit as the base-period price and develop a weighted aggregate index for the total inventory value at the end of the year. I = What type of weighted aggregate price index must be developed for the LIFO inventory valuation? Laspeyres Index O Paasche index A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products. Mean Shipping Cost per Unit ($) Products Base-Period Quantities (Year 1) Year 1 Year 5 2,500 10.50 15.90 5,000 16.25 32.00 7,000 12.20 18.40 2,500 20.00 35.50 Use the price data to compute a Paasche index for the shipping cost if year 5 quantities are 3,500, 3,000, 7,000, and 3,000 for products A, B, C, and D, respectively. (