PR 7-3A Periodic inventory by three methods

Bulldog Appliances uses the periodic inventory system. Details regarding the inventory
of appliances at September 1, 2011, purchases invoices during the next 12 months, and
the inventory count at August 31, 2012, are summarized as follows:

                                                          Purchases Invoices
Model    Inventory,September 1            1st            2nd            3rd       Inventory Count, August 31
AZ09                 __                             4 at $ 32   4 at $ 35     4 at $ 38                     5
GA85          8 at $ 88                         4 at $ 79    3 at $ 85    6 at $ 92                      7
HI71            3 at 75                            3 at 65       15 at 68    9 at 70                          5
KS32           7 at 242                           6 at 250    5 at 260    10 at 259                      9
MS17          12 at 80                          10 at 82     16 at 89     16 at 90                       13
ND52          2 at 108                            2 at 110     3 at 128   3 at 130                       5
WV63         5 at 160                           4 at 170     4 at 175     7 at 180                      8

Instructions
1. Determine the cost of the inventory on August 31, 2012, by the first-in, first-out method.
Present data in columnar form, using the following headings:

Model                     Quantity                  Unit Cost                   Total Cost

If the inventory of a particular model comprises one entire purchase plus a portion
of another purchase acquired at a different unit cost, use a separate line for each
purchase.
2. Determine the cost of the inventory on August 31, 2012, by the last-in, first-out method,
following the procedures indicated in (1).
3. Determine the cost of the inventory on August 31, 2012, by the average cost method,
using the columnar headings indicated in (1).
4. Discuss which method (FIFO or LIFO) would be preferred for income tax
purposes in periods of (a) rising prices and (b) declining prices.

Answer:

1. First-In, First-Out Method  
 Model Quantity Unit Cost Total Cost   AZ09 4 $  38 $ 152   1 35 35  GA85 6 92 552   1 85  85  HI71 5 70  350  KS32 9 259 2,331  MS17 13 90 1,170  ND52 3 130 390   2 128 256  WV63 7 180 1,260   1 175  175  Total............................................................... $6,756  
2. Last-In, First-Out Method  
 Model Quantity Unit Cost Total Cost   AZ09 4 $  32 $ 128   1 35 35  GA85 7 88 616  HI71 3 75 225   2 65 130  KS32 7 242 1,694   2 250 500  MS17 12 80 960   1 82 82  ND52 2 108 216   2 110 220   1 128 128  WV63 5 160 800   3 170  510  Total............................................................... $6,244  
3. Average Cost Method  
 Model Quantity Unit Cost* Total Cost   AZ09 5 $  35 $ 175  GA85 7 87 609  HI71 5 69  345  KS32 9 253 2,277  MS17 13 86 1,118  ND52 5 121 605  WV63 8 172  1,376  Total............................................................... $6,505 
 *Computations of unit costs: 
 AZ09: $35 = [(4 × $32) + (4 × $35) + (4 × $38)] ÷ (4 + 4 + 4)  GA85: $87 = [(8 × $88) + (4 × $79) + (3 × $85) + (6 × $92)] ÷ (8 + 4 + 3 + 6) HI71: $69 = [(3 × $75) + (3 × $65) + (15 × $68) + (9 × $70)] ÷ (3 + 3 + 15 + 9) KS32: $253 = [(7 × $242) + (6 × $250) + (5 × $260) + (10 × $259)] ÷ (7 + 6 + 5 + 10) MS17: $86 = [(12 × $80) + (10 × $82) + (16 × $89) + (16 × $90)] ÷ (12 + 10 + 16 + 16) ND52: $121 = [(2 × $108) + (2 × $110) + (3 × $128) + (3 × $130)] ÷ (2 + 2 + 3 + 3) WV63: $172 = [(5 × $160) + (4 × $170) + (4 × $175) + (7 × $180)] ÷ (5 + 4 + 4 + 7) 

4. a. During periods of rising prices, the LIFO method will result in a lower cost of inventory, a greater amount of cost of merchandise sold, and a lesser amount of net income than the other two methods. For Bulldog Appliances, the LIFO method would be preferred for the current year, since it would result in a lesser amount of income tax.
 b. During periods of declining prices, the FIFO method will result in a lesser amount of net income and would be preferred for income tax purposes.

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