The cost of goods sold computations for Alpha Company and Omega Company are shown below. Alpha Company Omega Company Beginning inventory $ 49,500 $ 71,000 Cost of goods purchased 200,000 299,000 Cost of goods available for sale 249,500 370,000 Ending inventory 57,000 73,000 Cost of goods sold $192,500 $297,000

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Answer:

Alpha Company:

  • inventory turnover ratio = 3.62
  • days in inventory = 101 days

Omega Company

  • inventory turnover ratio = 4.13
  • days in inventory = 89 days

Explanation:

                                         Alpha Company       Omega Company

Beginning inventory                $49,500                       $71,000

Cost of goods purchased     $200,000                   $299,000

Cost of goods available

for sale                                   $249,500                    $370,000

Ending inventory                     $57,000                      $73,000

Cost of goods sold                 $192,500                   $297,000

inventory turnover rate = cost of goods sold / the average inventory

average inventory = (beginning inventory + ending inventory) / 2

days in inventory = 365 days / inventory turnover ratio

                                          Alpha Company             Omega Company

average inventory                  $53,250                         $72,000

inventory turnover         $192,500 / $53,250      $297,000 / $72,000

                                           = 3.62                              = 4.13

days in inventory             365 / 3.62                        365 / 4.13

                                        = 100.83 ≈ 101 days          = 88.38 ≈ 89 days

Omega's inventory turnover is 3.62 and Omega's days of inventory on hand is 101 days.

Alpha's inventory turnover is 4.125 and Alpha's  days of inventory on hand is 88.48.

What is the inventory turnover and the days of inventory?

Inventory turnover and days of inventory on hand are examples of activity ratio. It measures the efficiency of performing daily task of a firm.

Inventory turnover = cost of goods sold / average inventory

Average inventory = (beginning inventory + ending inventory) / 2

Days of inventory on hand  = number of days in period / inventory turnover

Omega's inventory turnover = $192,500 / [(49,500 + 57,000)/2] = 3.62

Omega's days of inventory on hand = 365 / 3.62 = 101 days

Alpha's inventory turnover = $297,000 / [(71,000 + 73,000) / 2] = 4.125

Alpha's  days of inventory on hand = 365 / 4.125 = 88.48

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