Q30PGA

Question

Using variable and absorption costing, making decisions 

The 2018 data that follow pertain to Mike’s Magnificent Eyewear, a manufacturer of swimming goggles. (Mike’s Magnificent Eyewear had no beginning Finished Goods Inventory in January 2018.) 

Number of goggles produced                                              245,000                      

Number of goggles sold                                                       230,000                                   

Sales price per unit                                                                 \( 28                                   

Variable manufacturing cost per unit                                      10                                    

Sales commission cost per unit                                                 2                                 

Fixed manufacturing overhead                                         1,960,000                                    

Fixed selling and administrative costs                              260,000                     

Requirements:

  1. Prepare both conventional (absorption costing) and contribution margin (variable costing) income statements for Mike’s Magnificent Eyewear for the year ended December 31, 2018.
  2. Which statement shows the higher operating income? Why?
  3. Mike’s Magnificent Eyewear’s marketing vice president believes a new sales promotion that costs \)40,000 would increase sales to 235,000 goggles. Should the company go ahead with the promotion? Give your reasoning.

 

Step-by-Step Solution

Verified
Answer
  1. Operating profit as per absorption and variable costing is $1,580,000 and $1,460,000 respectively.
  2. Income statements as absorption costing has higher operating income because proportionate allocation of fixed cost.
  3. Yes, companies should go ahead as it increases operating income.

 

1Step 1: Calculation of unit product cost using variable and absorption costing (1) :

Particulars

Absorption costing

Variable Costing

Variable manufacturing overhead

$10

$10

Fixed manufacturing overhead ($1,960,000/245,000)

$8

-

Total unit product cost

$18

$10

2Step 2: Income statement absorption costing format

Particulars

Absorption Costing

Net sales revenue ($28x230,000)

$6,440,000

Less: Cost of goods sold ($18x230,000)

$4,140,000

Gross profit

$2,300,000

Variable selling and administrative cost ($2x230,000)

$460,000

Fixed selling and administrative cost

$260,000

Operating Income

$1,580,000

3Step 3: Income statement variable costing format

Particulars

Variable Costing

Net sales revenue ($28x230,000)

$6,440,000

Less: Cost of goods sold 

 

Variable cost of goods sold ($10x230,000)

$2,300,000

Variable selling and administrative cost ($2x230,000)

$460,000

Contribution margin

$3,680,000

Less: Fixed costs

 

Fixed costs of goods sold

$1,960,000

Fixed selling and administrative cost

$260,000

Operating Income

$1,460,000

 

4Step 4: Profitability Analysis (2):

Operating income is higher under absorption costing because proportionate fixed cost allocated to while calculating operating income because units sold are less than the units produced. 

5Step 5: Operating income if the company goes ahead with the promotion (3):

Particulars

Variable Costing

Net sales revenue ($28x235,000)

$6,580,000

Less: Cost of goods sold 

 

Variable cost of goods sold ($10x235,000)

$2,350,000

Variable selling and administrative cost ($2x235,000)

$470,000

Contribution margin

$3,760,000

Less: Fixed costs

 

Fixed costs of goods sold

$1,960,000

Fixed selling and administrative cost($260,000 + $40,000)

$300,000

Operating Income

$1,500,000

 

Yes, the company should go ahead with the promotion because it will increase the operating profit.