Donovan company incurred the following costs while producing 2000 units: Direct Materials, $15 per unit; direct labor, $5 per unit; variable manufacturing overhead, $12 per unit; variable selling and administrative costs, $14, per unit; total fixed overhead costs, $20,000; total fixed selling and administrative costs, $10,000. There are no beginning inventories.

What is the unit productive cost using absorption costing?

a. $32 per unit

b. $42 per unit

c. $52 per unit

d. $61 per unit

What is the unit product cost using variable costing?

a. $32 per unit

b. $44 per unit

c. $46 per unit

d. $61 per unit

What is the operating income using absorption costing if 1800 units are sold for $100 each?

a. $104,400

b. $96,000

c. $79,200

d. $69,200

What is the operating income using variable costing if 1900 units are sold for $100 each?

a. $57,400

b. $72,600

c. $80,200

d. $102,600

*Formulas or explanations with each part of the problem.

1. b. $42 per unit

2. a. $32 per unit

3. d. $69,200

4. b $72,600

Explanation:

1 and 2 The computation of unit productive cost using absorption costing and unit product cost using variable costing is shown below:-

                                     Absorption        Variable

Direct material                   $15                   $15

Direct labor                         $5                    $5

Variable manufacturing

overhead                             $12                  $12

Fixed manufacturing

overhead                              $10        

($20,000 ÷ 2000)  

Product cost                        $42                $32

Therefore for computing the product cost of absorption and variable cost we simply added direct material, direct labor, variable manufacturing overhead and fixed overhead rate

3. The computation of the unit product cost using variable costing is shown below:-

Sales                                          $180,000

Cost of goods manufactured   ($756,00)

(1800 × $42)

Difference                                   $104,400

Variable and selling

administrative                             ($25,200)

(1800 × $14)

Gross profit                                  $79,200

Fixed selling and administrative

expenses                                     ($10,000)

Net operating income                $69,200

So, for computing the net operating income we simply deduct the Fixed selling and administrative expenses from gross profit.

4. The computation of operating income using variable costing is shown below:-

Sales                                               $190,000

(1,900 × $100)

Variable cost of goods

manufactured                                   $60,800

(1,900 × $32)

Gross contribution margin                $129,200

Variable and selling administrative   ($26,600)

(1900 × $14)

Net contribution margin                     $102,600

Fixed cost                                           ($30,000)

Operating income                              $72,600

Therefore for computing the operating income using variable costing we simply deduct the fixed cost from net contribution margin.

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