Appendix 4A FIFO Method 4-2 LEARNING OBJECTIVES After studying this chapter, you should be able to: 1. (Appendix 4A) Compute the equivalent units of production for a period by the FIFO method. 2. (Appendix 4A) Prepare a quantity schedule for a period by the FIFO method. 3. (Appendix 4A) Compute the costs per equivalent unit for a period by the FIFO method. 4. (Appendix 4A) Prepare a cost reconciliation for a period by the FIFO method. 5. (Appendix 4B) Compute the cost of lost units or shrinkage. © McGraw-Hill Ryerson Limited., 2001 4-3 Equivalent Units of Production – FIFO Method The FIFO method . . . !Separates work done in prior period from work done in current period. !Treats units and costs from prior period and current period independently. Let’s see how this works! © McGraw-Hill Ryerson Limited., 2001 4-4 Equivalent Units of Production Comparison: Double Diamond Weighted Average Method: Beginning WIP 5,000 units started 200 units 4,600 units started 30% complete and completed Equivalent units of production: Units completed and transferred to next department WIP, ending Equivalent units of production 400 units 25% complete © McGraw-Hill Ryerson Limited., 2001 4-5 Equivalent Units of Production Comparison: Double Diamond Weighted Average Method: Beginning WIP 5,000 units started 200 units 4,600 units started 400 units 30% complete and completed 25% complete Equivalent units of production: Units completed and transferred to next department 4,800 WIP, ending Equivalent units of production © McGraw-Hill Ryerson Limited., 2001 4-6 Equivalent Units of Production Comparison: Double Diamond Weighted Average Method: Beginning WIP 5,000 units started 200 units 4,600 units started 400 units 30% complete and completed 25% complete Equivalent units of production: Units completed and transferred to next department 4,800 WIP, ending: 400 units @25% 100 4,900 Equivalent units of production © McGraw-Hill Ryerson Limited., 2001 4-7 Equivalent Units of Production Comparison: Double Diamond FIFO: Beginning WIP 5,000 units started 200 units 4,600 units started 30% complete and completed Equivalent units of production: WIP, beginning Units started and completed WIP, ending Equivalent units of production 400 units 25% complete © McGraw-Hill Ryerson Limited., 2001 4-8 Equivalent Units of Production Comparison: Double Diamond FIFO: Beginning WIP 5,000 units started 200 units 4,600 units started 400 units 30% complete* and completed 25% complete Equivalent units of production: WIP, beginning: 200 units @70%* 140 Units started and completed WIP, ending Equivalent units of production *70% work needed to complete these units © McGraw-Hill Ryerson Limited., 2001 4-9 Equivalent Units of Production Comparison: Double Diamond FIFO: Beginning WIP 5,000 units started 200 units 4,600 units started 400 units 30% complete* and completed 25% complete Equivalent units of production: WIP, beginning: 200 units @70%* 140 Units started and completed 4,600 WIP, ending Equivalent units of production *70% work needed to complete these units © McGraw-Hill Ryerson Limited., 2001 4-10 Equivalent Units of Production Comparison: Double Diamond FIFO: Beginning WIP 5,000 units started 200 units 4,600 units started 400 units 30% complete* and completed 25% complete Equivalent units of production: WIP, beginning: 200 units @70%* 140 Units started and completed 4,600 WIP, ending: 400 units @25% 100 Equivalent units of production *70% work needed to complete these units © McGraw-Hill Ryerson Limited., 2001 4-11 Equivalent Units of Production Comparison: Double Diamond FIFO: Beginning WIP 5,000 units started 200 units 4,600 units started 400 units 30% complete* and completed 25% complete Equivalent units of production: WIP, beginning: 200 units @70%* 140 Units started and completed 4,600 WIP, ending: 400 units @25% 100 Equivalent units of production 4,840 *70% work needed to complete these units © McGraw-Hill Ryerson Limited., 2001 4-12 FIFO Example Smith Company reported the following activity in Department A for the month of June: Percent Comple ted Work in process, June 1 Units 300 Units started into production in June 6,000 Units comple ted and transferred out of Department A during June 5,400 Work in process, June 30 900 Ma terials Conversion 40% 20% 60% 30% © McGraw-Hill Ryerson Limited., 2001 4-13 FIFO Example Equivalent Equivalent units units of of production production is is based based on: on: Beginning WIP Inventory Units started and completed Total Units available Units started into production Ending WIP Inventory © McGraw-Hill Ryerson Limited., 2001 4-14 FIFO Example For For Smith Smith Company: Company: Beginning WIP Inventory (300 units) Units started into production (6,000 units) Total Units available (6,300 units) Units started and completed (5,400 units) Ending WIP Inventory (900 units) © McGraw-Hill Ryerson Limited., 2001 4-15 FIFO Example For For Smith Smith Company: Company: Beginning WIP Inventory (300 units) Total Units available Made up of: (6,300 units) Units started Beginning WIP of 300 units intoand 5,100 (6,000-900) units production that were started and (6,000 units) completed Units started and completed (5,400 units) Ending WIP Inventory (900 units) © McGraw-Hill Ryerson Limited., 2001 4-16 FIFO Example Equivalent units are calculated as follows: Materials Work in process, June 1: 300 units @60% to complete Conversion 180 Units started and completed Work in process, June 30: Equivalent units of Production in Department A during June © McGraw-Hill Ryerson Limited., 2001 4-17 FIFO Example Equivalent units are calculated as follows: Materials Work in process, June 1: 300 units @60% to complete 300 units @80% to complete Conversion 180 240 Units started and completed Work in process, June 30: Equivalent units of Production in Department A during June © McGraw-Hill Ryerson Limited., 2001 4-18 FIFO Example Equivalent units are calculated as follows: Materials Work in process, June 1: 300 units @60% to complete 300 units @80% to complete 180 Units started and completed 5,100 Conversion 240 5,100 Work in process, June 30: Equivalent units of Production in Department A during June © McGraw-Hill Ryerson Limited., 2001 4-19 FIFO Example Equivalent units are calculated as follows: Materials Work in process, June 1: 300 units @60% to complete 300 units @80% to complete 180 Units started and completed 5,100 Work in process, June 30: 900 units @ 60% complete Conversion 240 5,100 540 Equivalent units of Production in Department A during June © McGraw-Hill Ryerson Limited., 2001 4-20 FIFO Example Equivalent units are calculated as follows: Materials Work in process, June 1: 300 units @60% to complete 300 units @80% to complete 180 Units started and completed 5,100 Work in process, June 30: 900 units @ 60% complete 900 units @ 30% complete Conversion 240 5,100 540 270 Equivalent units of Production in Department A during June © McGraw-Hill Ryerson Limited., 2001 4-21 FIFO Example Equivalent units are calculated as follows: Materials Work in process, June 1: 300 units @60% to complete 300 units @80% to complete 180 Units started and completed 5,100 Work in process, June 30: 900 units @ 60% complete 900 units @ 30% complete Equivalent units of Production in Department A during June Conversion 240 5,100 540 270 5,820 5,610 © McGraw-Hill Ryerson Limited., 2001 4-22 FIFO Example Materials Materials Beginning Work in Process 300 Units 40% Complete 6,000 Units Started 5,100 Units Started and Completed Ending Work in Process 900 Units 60% Complete 300 x 60% 180 Equivalent Units 5,100 Units Started and Completed 900 × 60% 540 Equivalent Units 5,820 Equivalent units of production © McGraw-Hill Ryerson Limited., 2001 4-23 FIFO Example Conversion Conversion Beginning Work in Process 300 Units 20% Complete 6,000 Units Started 5,100 Units Started and Completed Ending Work in Process 900 Units 30% Complete 300 x 80% 240 Equivalent Units 5,100 Units Started and Completed 900 × 30% 270 Equivalent Units 5,610 Equivalent units of production © McGraw-Hill Ryerson Limited., 2001 4-24 Production Report Example " Double Diamond Skis uses process costing to determine unit costs in its Shaping and Milling Department. " Double Diamond uses the FIFO cost procedure. " Using the following information for the month of May, let’s prepare a production report for Shaping and Milling. © McGraw-Hill Ryerson Limited., 2001 4-25 Production Report Example Work in process, May 1: 200 units Materials: 50% complete. Conversion: 30% complete. Units started into production in May: Units completed and transferred out in May: Costs added to production in May Materials cost Conversion cost $ Cost 3,000 1,000 5,000 4,800 $ 74,000 70,000 Work in process, May 31: 400 units Materials 40% complete. Conversion 25% complete. © McGraw-Hill Ryerson Limited., 2001 4-26 Production Report Example Section 1: Quantity Schedule with Equivalent Units Units to be accounted for: Work in process, May 1 Started into production Total units 200 5,000 5,200 Equivalent units Materials Conversion Units accounted for as follows: Beginning WIP (to complete) 200 units @50% 200 units @70% Completed and transferred Ending WIP, May 31 400 units @40% 400 units @25% 200 100 4,600 400 4,600 140 4,600 160 5,200 4,860 100 4,840 © McGraw-Hill Ryerson Limited., 2001 4-27 Production Report Example` Section 2: Compute cost per equivalent unit Total Cost Cost to be accounted for: Work in process, May 1 Costs added in the Shipping and Milling Department Total cost Equivalent units $ Materials Conversion $ $ 4,000 144,000 74,000 70,000 $ 148,000 4,860 4,840 © McGraw-Hill Ryerson Limited., 2001 4-28 Production Report Example` Section cost per equivalent unit Only 2: theCompute cost associated with current production isTotal allocated to materials Cost and conversion Cost to be accounted for: Work in process, May 1 Costs added in the Shipping and Milling Department $ Total cost $ 148,000 Equivalent units Materials Conversion $ $ 4,000 144,000 74,000 4,860 70,000 4,840 © McGraw-Hill Ryerson Limited., 2001 4-29 Production Report Example` Section 2: Compute cost per equivalent unit Total Cost Cost to be accounted for: Work in process, May 1 Costs added in the Shipping and Milling Department Total cost Equivalent units Cost per equivalent unit $ Materials Conversion $ $ 4,000 144,000 74,000 70,000 $ 148,000 4,860 4,840 15.226 $74,000 ÷ 4,860 units = $15.226 (rounded) © McGraw-Hill Ryerson Limited., 2001 4-30 Production Report Example Section 2: Compute cost per equivalent unit Total Cost Cost to be accounted for: Work in process, May 1 Costs added in the Shipping and Milling Department Total cost Equivalent units $ Materials Conversion 4,000 144,000 74,000 70,000 4,860 4,840 $ 148,000 Cost per equivalent unit $ 15.226 Total cost per equivalent unit = $15.226 + $14.463 = $29.689 $ 14.463 $70,000 ÷ 4,840 units = $14.463 (rounded) © McGraw-Hill Ryerson Limited., 2001 4-31 Production Report Example Section 3: Cost Reconciliation Start with cost of WIP from last month Cost accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-32 Production Report Example Section 3: Cost Reconciliation 100 units x $15.226 Cost accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-33 Production Report Example Section 3: Cost Reconciliation 140 units x $14.463 Cost accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-34 Production Report Example Section 3: Cost Reconciliation 4,600 units x $29.689 Cost accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-35 Production Report Example Section 3: Cost Reconciliation This represents all of the total costs out Costtransferred accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-36 Production Report Example Section 3: Cost Reconciliation 160 units x $15.226 Cost accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-37 Production Report Example Section 3: Cost Reconciliation 100 units x $14.463 Cost accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-38 Production Report Example Section 3: Cost Reconciliation Total cost of ending work in process Cost accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-39 Production Report Example Section 3: Cost Reconciliation Must agree to section called “Cost to be for” Costaccounted accounted for as follow s: W ork in process, May 1: Cost in beg. W IP Materials Conversion Transferred out during May Total cost transferred Work in process, May 31: Materials Conversion Total w ork in process, May 31 Total cost accounted for Total Cost 4,000 1,523 2,025 136,570 144,118 2,436 1,446 Equivalent Units Materials Conversion 100 4,600 140 4,600 160 100 3,882 148,000 © McGraw-Hill Ryerson Limited., 2001 4-40 End of Chapter 4 - Appendix © McGraw-Hill Ryerson Limited., 2001