PR 7-3B Periodic inventory by three methods

Artic Appliances uses the periodic inventory system. Details regarding the inventory of
appliances at January 1, 2012, purchases invoices during the year, and the inventory count
at December 31, 2012, are summarized as follows:


Purchases Invoices
Model
Inventory,
January 1 1st 2nd 3rd
Inventory Count,
December 31
AK82 3 at $520 3 at $527 3 at $530 3 at $535 5
CO62 9 at 213 7 at 215 6 at 222 6 at 225 12
DE03 5 at 60 3 at 65 1 at 65 1 at 70 2
FL12 6 at 305 3 at 310 3 at 316 4 at 317 4
ME09 6 at 520 8 at 531 4 at 549 6 at 542 7
NM57 — 4 at 222 4 at 232 — 2
TN33 4 at 35 6 at 36 8 at 37 7 at 39 5
Instructions
1. Determine the cost of the inventory on December 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 December 31, 2012, by the last-in, first-out
method, following the procedures indicated in (1).
3. Determine the cost of the inventory on December 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   AK82 3 $535 $ 1,605   2 530  1,060  CO62 6 225  1,350   6  222  1,332  DE03 1  70  70   1 65 65  FL12 4 317 1,268  ME09 6 542 3,252   1 549 549  NM57 2 232  464  TN33 5 39  195  Total................................................................. $11,210  
2. Last-In, First-Out Method  
 Model Quantity Unit Cost Total Cost   AK82 3 $520 $ 1,560   2 527 1,054  CO62 9 213  1,917   3  215  645  DE03 2  60  120  FL12 4 305 1,220  ME09 6 520 3,120   1 531 531  NM57 2 222  444  TN33 4 35  140   1 36  36  Total................................................................. $10,787 
3. Average Cost Method  
 Model Quantity Unit Cost* Total Cost   AK82 5  $528 $ 2,640  CO62 12  218  2,616  DE03 2  63  126  FL12 4 311 1,244  ME09 7 534 3,738  NM57 2 227  454  TN33 5 37  185  Total................................................................. $11,003 
 *Computations of unit costs:  AK82: $528 = [(3 × $520) + (3 × $527) + (3 × $530) + (3 × $535)] ÷ (3 + 3 + 3 + 3)  CO62 $218 = [(9 × $213) + (7 × $215) + (6 × $222) + (6 × $225)] ÷  (9 + 7 + 6 + 6) DE03: $63 = [(5 × $60) + (3 × $65) + (1 × $65) + (1 × $70)] ÷ (5 + 3 + 1 + 1) L100: $311 = [(6 × $305) + (3 × $310) + (3 × $316) + (4 × $317)] ÷ (6 + 3 + 3 + 4) ME09: $534 = [(6 × $520) + (8 × $531) + (4 × $549) + (6 × $542)] ÷ (6 + 8 + 4 + 6) NM57: $227 = [(4 × $222) + (4 × $232)] ÷ (4 + 4) TN33: $37 = [(4 × $35) + (6 × $36) + (8 × $37) + (7 × $39)] ÷ (4 + 6 + 8 + 7) 

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