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Diego Company manufactures one product that is sold for $71 per unit in two geographic regions—the East and West regions. The following information pertains to the company’s first year of operations in which it produced 54,000 units and sold 49,000 units. Variable costs per unit: Manufacturing: Direct materials $ 22 Direct labor $ 12 Variable manufacturing overhead $ 3 Variable selling and administrative $ 5 Fixed costs per year: Fixed manufacturing overhead $ 864,000 Fixed selling and administrative expenses $ 586,000 The company sold 36,000 units in the East region and 13,000 units in the West region. It determined that $280,000 of its fixed selling and administrative expenses is traceable to the West region, $230,000 is traceable to the East region, and the remaining $76,000 is a common fixed cost. The company will continue to incur the total amount of its fixed manufacturing overhead costs as long as it continues to produce any amount of its only product.
5. What is the company’s total gross margin under absorption costing?
6 What is the company’s break-even point in unit sales?
7. What would have been the company’s variable costing net operating income (loss) if it had produced and sold 49,000 units? What would have been the company’s absorption costing net operating income (loss) if it had produced and sold 49,000 units? Prepare a contribution format segmented income statement that includes a Total column and columns for the East and West regions.


Sagot :

Answer:

Diego Company

1. The company's total gross margin under absorption costing is:

= $802,000

2. The company's break-even point in unit sales is:

= 50,000 units

3. The company’s variable costing net operating income (loss) if it had produced and sold 49,000 units is:

= ($29,000).

4. The company's absorption costing net operating income (loss) if it had produced and sold 49,000 units is:

= ($29,000).

5. Contribution Format Segmented Income Statement

                                       East               West              Total

Sales units                  36,000           13,000            49,000

Sales revenue    $2,556,000     $923,000     $3,479,000

Variable cost of goods sold:

Production costs   1,332,000         481,000        1,813,000 ($37 * 49,000)

Selling and admin.   180,000          65,000         245,000

Total variables    $1,512,000      $546,000    $2,058,000

Contribution      $1,044,000       $377,000      $1,421,000

Fixed costs:

Manufacturing      280,000         230,000          510,000

Common costs                                                       76,000

Total fixed costs $280,000      $230,000       $586,000

Net income        $764,000       $146,000       $835,000

Explanation:

a) Data and Calculations:

Selling price = $71 per unit

                                East         West

Sales units             36,000     13,000

Production units = 54,000

Sales unit = 49,000

Variable costs per unit:

Manufacturing:

Direct materials $ 22

Direct labor $ 12

Variable manufacturing overhead $ 3

Total variable manufacturing costs = $37 per unit

Variable selling and administrative $ 5

Fixed costs per year:

Fixed manufacturing overhead $ 864,000

Fixed selling and administrative expenses $ 586,000 (West $280,000 East $230,000, and $76,000 common)

Total fixed costs = $1,450,000

Total gross margin under absorption costing:

Sales revenue                    $3,479,000 ($71 * 49,000)

Cost of production:

Variable costs  $1,813,000

Fixed costs          864,000  2,677,000

Gross profit                          $802,000

Break-even point in unit sales:

Sales price = $71

Variable manufacturing cost per unit = $37

Variable selling cost per unit = $5

Total variable cost per unit = $42

Contribution margin per unit = $29

Break-even point in unit sales = FC/contribution margin

= $1,450,000/$29 = 50,000 units

Sales revenue                        $3,479,000 ($71 * 49,000)

Variable production costs         1,813,000 ($37 * 49,000)

Variable selling costs                 245,000 ($5 * 49,000)

Total variable costs               $2,058,000

Contribution margin               $1,421,000

Fixed costs

Manufacturing        864,000

Selling and admin. 586,000 $1,450,000

Net operating income (loss)    ($29,000)

Sales revenue                                 $3,479,000 ($71 * 49,000)

Production costs:

Variable costs                1,813,000 ($37 * 49000)

Manufacturing                 864,000

Total production costs 2,677,000

Cost of goods sold                         $2,677,000

Gross profit                                        $802,000

Period costs:

Selling and administrative                   831,000

Net operating income (loss)             ($29,000)

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