


| 50,000 books | 65,000 books | 70,000 books | |
| Gross margin (Requirement 1) | 2250000 | 2475000 | 2550000 |
| Ending inventory charge (Requirement 2) | 0 | 1725000 | 2300000 |
| Adjusted gross margin (Requirement 3) | 2250000 | 2302500 | 2320000 |
| Adjusting for ending inventory Does to some degree mitigate the increase in inventory associated with excess production. Therefore, it may be Difficult to mechanically compensate for all of the increased income. In addition, it does nothing to hold the manager responsible for the poor decisions from the organization's standpoint. | |||
| Requirement 1 | |||
| 50,000 books | 65,000 books | 70,000 books | |
| Revenues (50000 x $160 per book) | $8,000,000 | $8,000,000 | $8,000,000 |
| Cost of goods sold (50,000 x ($100 + $15) | $5,750,000 | $5,750,000 | $5,750,000 |
| Production - volume variance (U/F?) | 0 | -225000 | -300000 |
| N | F | F | |
| Net Cost of Goods Sold | 5750000 | 5525000 | 5450000 |
| Gross Margin | 2250000 | 2475000 | 2550000 |
| Production Volume variance = Budgeted fixed cost – fixed overhead rate × production | |||
| Production Volume variance (50000) = $750000 - ($15 x 50,000) | 0 | N | |
| Production Volume variance (65000) = $750000 - ($15x 65,000) | -225000 | F | |
| Production Volume variance (70000) = $750000 - ($15 x 70,000) | -300000 | F | |
| Requirement 2: Calculate ending inventory in units and in dollars for each production level. | |||
| Requirement 2 | 50,000 books | 65,000 books | 70,000 books |
| Beginning Inventory | 0 | 0 | 0 |
| Production | 50000 | 65000 | 70000 |
| Sales | 50000 | 50000 | 50000 |
| Ending Inventory | 0 | 15000 | 20000 |
| Cost Per Book (100+ 15) | 115 | 115 | 115 |
| Cost of Ending Inventory | 0 | 1725000 | 2300000 |
| Requirement 3: Managers who are paid a bonus that is a function of gross margin may be inspired to produce a product in excess of demand to maximize their own bonus. There are metrics to discourage managers from producing products in excess of demand. Do you think the following metrics will accomplish this objective? Show your work. | |||
| a. Incorporate a charge of 10% of the cost of the ending inventory as an expense for evaluating the manager. | 50,000 books | 65,000 books | 70,000 books |
| Gross Margin | 2250000 | 2475000 | 2550000 |
| Ending inventory charge | 0 | -172500 | -230000 |
| Adjusted gross margin | 2250000 | 2302500 | 2320000 |
| b. Include nonfinancial measures when evaluating management and rewarding performance. | |||
| One nonfinancial measure is to compute the excess production ratio. Determine the formula, then compute the ratio at each production level. | |||
| # of books Production / Sales = Excess production ratio | Production / | Sales Units | Excess Production Ratio |
| 50,000.00 | 50000 | 1 | |
| 65,000.00 | 50000 | 1.3 | |
| 70,000.00 | 50000 | 1.4 | |
| A ratio of ending inventory to beginning inventory is Not Possible | |||
| The non-financial measures must be incorporated into the reward function of the manager to be useful. | |||
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