Product cost under variable costing problem


Problem 1: Kray Inc., which produces a single product, has provided the following data for its most recent month of operations:

Number of units produced

2,700

Variable costs per unit:

 

Direct materials

$84

Direct labor

$10

Variable manufacturing overhead

$7

Variable selling and administrative expense

$5

Fixed costs:

 

Fixed manufacturing overhead

$225,000

Fixed selling and administrative expense

$156,000

There were no beginning or ending inventories. The unit product cost under variable costing was:

    (a)    $94
    (b)    $114
    (c)    $101
    (d)    $119

Problem 2: Blake Corporation, which produces a single product, has provided the following absorption costing income statement for the month of June:

Blake Corporation
Income Statement
For the month ended June 30

Sales (9,700 units)

 

$349,200

Cost of goods sold:

 

 

    Beginning inventory

$ 8,500

 

    Add cost of goods manufactured

101,700

 

    Goods available for sale

110,200

 

    Less ending Inventory

20,100

 

Cost of goods sold

 

  90,100

Gross margin

 

259,100

Selling and administrative expenses:

 

 

    Fixed

$ 80,000

 

    Variable

19,400

99,400

Net operating income

 

$ 159,700


During June, the company's variable production costs were $10 per unit and its fixed manufacturing overhead totaled $70,000. A total of 8,000 units were produced during June and the company had 850 units in the beginning inventory. The company uses the LIFO method to value inventories.

The break-even point in units for the month under variable costing would be (rounded):

    (a)    6,250 units
    (b)    6,402 units
    (c)    6,100 units
    (d)    7,255 units

Problem 3: During its first year of operations, Carlos Manufacturing Company incurred the following costs to produce 9,400 units of its product:

Direct materials

$6 per unit

Direct labor

$3 per unit

Variable manufacturing overhead

$12 per unit

Fixed manufacturing overhead

$483,630 in total

The company also incurred the following costs in the sale of 6,900 units of product during its first year:

Variable selling and administrative

$3 per unit

Fixed selling and administrative

$59,000 in total


Assume that direct labor is a variable cost.

If Carlos' absorption costing net operating income for this first year is $117,425, what would its variable costing net operating income be for this first year?

    (a)    $86,000
    (b)    $-11,200
    (c)    $146,250
    (d)    $104,125

Problem 4: Dearne Company, which has only one product, has provided the following data concerning its most recent month of operations:

Selling price

$60

 

 

Units in beginning inventory

0

Units produced

6,000

Units sold

4,600

Units in ending inventory

1,400

 

 

Variable costs per unit:

 

Direct materials

$21

Direct labor

$14

Variable manufacturing overhead

$3

Variable selling and administrative

$6

 

 

Fixed costs:

 

Fixed manufacturing overhead

$41,000

Fixed selling and administrative

$74,200


What is the total period cost for the month under the absorption costing approach?

    (a)    $101,800
    (b)    $114,300
    (c)    $100,300
    (d)    $110,000

Problem 5: Decaprio Inc. produces and sells a single product. The company has provided its contribution format income statement for June.


Sales (8,800 units)     $528,000
Variable expenses       290,400
Contribution margin     237,600
Fixed expenses            211,700
Net operating income    $25,900

If the company sells 9,200 units, its net operating income should be closest to:

    (a)    $25,900
    (b)    $36,700
    (c)    $27,077
    (d)    $49,900

Problem 6: The margin of safety in the Flaherty Company is $24,000. If the company's sales are $120,000 and its variable expenses are $80,000, its fixed expenses must be:

    (a)    $8,000
    (b)    $32,000
    (c)    $24,000
    (d)    $16,000

The following data are available for the Phelps Company for a recent month:

                                 Product A    Product B    Product C   Total
Sales                          $150,000     $130,000     $90,000   $370,000
Variable expenses           91,000       104,000      27,000      222,000
Contribution margin       $59,000       $26,000     $63,000     148,000
Fixed expenses                                                                   55,000
Net operating income                                                         $93,000

The break-even sales for the month for the company are:

    (a)    $203,000
    (b)    $137,500
    (c)    $148,000
    (d)    $91,667

Problem 7: Newham Corporation produces and sells two products. In the most recent month, Product R10L had sales of $28,000 and variable expenses of $6,440. Product X96N had sales of $22,000 and variable expenses of $7,560. And the fixed expenses of the entire company were $32,710. The break-even point for the entire company is closest to:

    (a)    $32,710
    (b)    $46,710
    (c)    $17,290
    (d)    $45,431

Problem 8: Taylor, Inc. produces only two products, Acdom and Belnom. These account for 60% and 40% of the total sales dollars of Taylor, respectively. The unit variable expense as a percentage of the selling price is 60% for Acdom and 85% for Belnom. Total fixed expenses are $150,000. There are no other costs.

Assuming that the total fixed expenses of Taylor increase by 30% and the sales mix remains constant, what amount of sales dollars would be necessary to generate a net operating income of $9,000?

    (a)    $204,000
    (b)    $464,000
    (c)    $659,000
    (d)    $680,000

Problem 9: Taylor, Inc. produces only two products, Acdom and Belnom. These account for 60% and 40% of the total sales dollars of Taylor, respectively. The unit variable expense as a percentage of the selling price is 60% for Acdom and 85% for Belnom. Total fixed expenses are $150,000. There are no other costs.

What is Taylor's break-even point in sales dollars?

    (a)    $214,286
    (b)    $300,000
    (c)    $150,000
    (d)    $500,000

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Accounting Basics: Product cost under variable costing problem
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