In: Accounting
Lehighton Chalk Company manufactures sidewalk chalk, which it sells online by the box at $26 per unit. Lehighton uses an actual costing system, which means that the actual costs of direct material, direct labor, and manufacturing overhead are entered into work-in-process inventory. The actual application rate for manufacturing overhead is computed each year; actual manufacturing overhead is divided by actual production (in units) to compute the application rate. Information for Lehighton’s first two years of operation is as follows:
| Year 1 | Year 2 | ||||||
| Sales (in units) | 2,800 | 2,800 | |||||
| Production (in units) | 3,400 | 2,200 | |||||
| Production costs: | |||||||
| Variable manufacturing costs | $ | 17,680 | $ | 11,440 | |||
| Fixed manufacturing overhead | 21,080 | 21,080 | |||||
| Selling and administrative costs: | |||||||
| Variable | 11,200 | 11,200 | |||||
| Fixed | 10,200 | 10,200 | |||||
Selected information from Lehighton’s year-end balance sheets for its first two years of operation is as follows:
| LEHIGHTON CHALK COMPANY | |||||||||||||||||||||||||||||||
| Selected Balance Sheet Information | |||||||||||||||||||||||||||||||
| Based on absorption costing | End of Year 1 | End of Year 2 | |||||||||||||||||||||||||||||
| Finished-goods inventory | $ | 6,840 | $ | 0 | |||||||||||||||||||||||||||
| Retained earnings | 13,980 | 23,320 | |||||||||||||||||||||||||||||
| Based on variable costing | End of Year 1 | End of Year 2 | |||||||||||||||||||||||||||||
| Finished-goods inventory | $ | 3,120 | $ | 0 | |||||||||||||||||||||||||||
| Retained earnings | 10,260 | 23,320 | |||||||||||||||||||||||||||||
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 Required: Lehighton Chalk Company had no beginning or ending work-in-process inventories for either year. Prepare operating income statements for both years based on absorption costing. Prepare operating income statements for both years based on variable costing. Prepare a numerical reconciliation of the difference in income reported under the two costing methods used in requirements (1) and (2). QUESTION: Prepare a numerical reconciliation of the difference in income reported under the two costing methods used in requirements (1) and (2). 
 
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| Variable Costing | Year 1 | Year 2 | ||
| Sales Revenue | 2800*26 | 72800 | 72800 | |
| Variable Cost | ||||
| Beginning Inventory | Given | 0 | 3120 | |
| Variable Manufacturing cost | 17680 | 11440 | ||
| Cost of Goods available for Sale | Beginning+Variable | 17680 | 14560 | |
| Ending Inventory | 600*5.2 | 3120 | 0 | |
| Variable Cost of goods Sold | 14560 | 14560 | ||
| Variable Selling Cost | 11200 | 11200 | ||
| Total Variable Cost | 25760 | 25760 | ||
| Contributiofn Margin | 47040 | 47040 | ||
| Fixed Cost: | ||||
| Fixed Manuf | GIven | 21080 | 21080 | |
| Fixed Selling | GIven | 10200 | 10200 | |
| Net Operating Income | 15760 | 15760 | ||
| Absorption Costing | Year 1 | Year 2 | ||
| Sales Revenue | 2800*26 | 72800 | 72800 | Fixed Cost/Prod*Sale unit | 
| Variable Cost | ||||
| Beginning Inventory | Given | 0 | 6840 | |
| Variable Manufacturing cost | 17680 | 11440 | ||
| Allocated Fixed Manu Cost | 2800*per unit cost 6.2 and 9.58 | 17360 | 17360 | |
| Cost of Goods available for Sale | Beginning+Variable+Fixed | 35040 | 35640 | |
| Ending Inventory | 600*11.4 | 6840 | 0 | |
| Adjustment for prod vol variance | 3720 | 3720 | ||
| Cost of goods Sold | 31920 | 39360 | ||
| Gross Margin | 40880 | 33440 | ||
| Operating Cost: | ||||
| Variable Selling | 11200 | 11200 | ||
| Fixed Selling | 10200 | 10200 | ||
| Net Operating Income | 19480 | 12040 | ||
| Net Operating Income | ||||
| Year 1 | Year 2 | |||
| Absorption | 19480 | 12040 | ||
| Variable | 15760 | 15760 | ||
| Difference | 3720 | -3720 | ||
| Less: Fixed Manu cost in Ending inventory | 3720 | 0 | ||
| (600*5.2) | ||||
| Add: Fixed Manu cost in beginning inventory | 3720 | |||
| (600*5.2) | ||||
| Reco | 0 | 0 | 
Working
| Variable Manufacturing cost | 17680 | 11440 | ||||
| Fixed Manufacturing cost | 21080 | 21080 | ||||
| Production Units | 3400 | 2200 | ||||
| Variable Manufacturing cost Per Unit | 5.2 | 5.2 | ||||
| Fixed Manufacturing cost Per unit | 6.2 | 6.20 | it will be same as fixed cost same for both years and budgeted prouction to be taken 3400 of first year | |||
| Total Cost Per unit | 11.4 | 11.40 | ||||
| Variable | Year 1 | Year 2 | Absorption | Year 1 | Year 2 | |
| Beginning | 0 | 600 | 0 | 600 | ||
| Production | 3400 | 2200 | 3400 | 2200 | ||
| Sale | 2800 | 2800 | 2800 | 2800 | ||
| Closing | 600 | 0 | 600 | 0 |