Marginal Costing - Alternative course of Action– Problems and Solutions

In this article, we will see the alternative course of action in marginal costing that can be taken giving the right kind of product to attain the maximum profit margin with analysing the given costing details- direct materials, labor, expenses- variable and fixed, total cost, selling price, units, contribution, margin cost etc.

Marginal Costing - Alternative Cource of Action

Problem 1:

 

The cost per unit of the three products A, B and C of a concern is as follows:

 

A B C

$ $ $

 

Direct Materials 10 8 9

Direct Labor  6 7 6

Variable Expenses  4 5 3

Fixed Expenses  3 3 2

Total Cost        23        23        20

Profit  9       _7        _6

Selling Price        32       30        26

 

Number of Units produced  10,000       5,000   8,000

 

Production arrangements are such that if one product is given up, the production of the others can be raised by 50%. The directors propose that C should be given up because the contribution in that case is lowest. Do you agree?

 

Solution

 

Fixed expenses under the present arrangement are:

       $

Product A - 10,000 units @ $  3 per unit = 30,000

Product B - 5,000 units @ $  3 per unit = 15,000

Product C - 8,000 units @ $  2 per unit = 16,000

      --------------

Total Fixed Cost 61,000

      --------------

Fixed expenses will remain same even though production arrangement may be changed.

Contribution per unit=Selling Price  -  Marginal Cost

A B C

$ $ $

Selling Price 32 30 26

 

Variable Cost:

Direct Materials 10  8  9

Direct Labor  6  7  6

Variable Expenses  4  5  3

Total – Variable Cost 20 20 18

 

Contribution per unit 12 10  8

There can be three production arrangements as follows:

 

Case 1:

1) If product A is given up, the production of B and C will be increased by 50%.

  B    C Total

Existing output 5,000 8,000

To be increased by 50% of existing output 2,500 4,000

----------      -------------

Increased output 7,500       12,000

----------      -------------

 

       $     $     $

Contribution per unit       10      8

Contribution in value     75,000      96,000         171,000

Less: Fixed Expenses              61,000

      -----------------

Total Profit         110,000

      -----------------

 


Case 2:

 

2) If product B is given up, the production of A and C will be increased by 50%.

 

  A    C Total

Existing output     10,000  8,000

To be increased by 50% of existing output       5,000  4,000

---------------- ------------

Increased output 15,000 12,000

--------------- ------------

 

    $     $      $

Contribution per unit     12      8

Contribution in value 180,000        96,000  276,000

Less: Fixed Expenses              61,000

--------------

Total Profit         215,000

-----------

 

Case 3:

 

3) If product C is given up, the production of A and B will be increased by 50%.

 

  A    B Total

Existing output     10,000  5,000

To be increased by 50% of existing output       5,000  2,500

    ----------- -----------

Increased output     15,000    7,500

    ---------         ---------

 

   $     $         $

Contribution per unit     12    10

Contribution in value 180,000       75,000       55,000

Less: Fixed Expenses        61,000

    ----------------

Total Profit      194,000

    ------------

From the above analysis it is clear that the profit is the maximum when product B is given up. Therefore, we do not agree with the directors that C should be given up and recommend that product B should be given up in order to have the maximum profit.


 

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Marginal Costing - Alternative course of Action– Problems and Solutions

In this article, we will see the alternative course of action in marginal costing that can be taken giving the right kind of product to attain the maximum profit margin with analysing the given costing details- direct materials, labor, expenses- variable and fixed, total cost, selling price, units, contribution, margin cost etc.

Marginal Costing - Alternative Cource of Action

Problem 1:

 

The cost per unit of the three products A, B and C of a concern is as follows:

 

A B C

$ $ $

 

Direct Materials 10 8 9

Direct Labor  6 7 6

Variable Expenses  4 5 3

Fixed Expenses  3 3 2

Total Cost        23        23        20

Profit  9       _7        _6

Selling Price        32       30        26

 

Number of Units produced  10,000       5,000   8,000

 

Production arrangements are such that if one product is given up, the production of the others can be raised by 50%. The directors propose that C should be given up because the contribution in that case is lowest. Do you agree?

 

Solution

 

Fixed expenses under the present arrangement are:

       $

Product A - 10,000 units @ $  3 per unit = 30,000

Product B - 5,000 units @ $  3 per unit = 15,000

Product C - 8,000 units @ $  2 per unit = 16,000

      --------------

Total Fixed Cost 61,000

      --------------

Fixed expenses will remain same even though production arrangement may be changed.

Contribution per unit=Selling Price  -  Marginal Cost

A B C

$ $ $

Selling Price 32 30 26

 

Variable Cost:

Direct Materials 10  8  9

Direct Labor  6  7  6

Variable Expenses  4  5  3

Total – Variable Cost 20 20 18

 

Contribution per unit 12 10  8

There can be three production arrangements as follows:

 

Case 1:

1) If product A is given up, the production of B and C will be increased by 50%.

  B    C Total

Existing output 5,000 8,000

To be increased by 50% of existing output 2,500 4,000

----------      -------------

Increased output 7,500       12,000

----------      -------------

 

       $     $     $

Contribution per unit       10      8

Contribution in value     75,000      96,000         171,000

Less: Fixed Expenses              61,000

      -----------------

Total Profit         110,000

      -----------------

 


Case 2:

 

2) If product B is given up, the production of A and C will be increased by 50%.

 

  A    C Total

Existing output     10,000  8,000

To be increased by 50% of existing output       5,000  4,000

---------------- ------------

Increased output 15,000 12,000

--------------- ------------

 

    $     $      $

Contribution per unit     12      8

Contribution in value 180,000        96,000  276,000

Less: Fixed Expenses              61,000

--------------

Total Profit         215,000

-----------

 

Case 3:

 

3) If product C is given up, the production of A and B will be increased by 50%.

 

  A    B Total

Existing output     10,000  5,000

To be increased by 50% of existing output       5,000  2,500

    ----------- -----------

Increased output     15,000    7,500

    ---------         ---------

 

   $     $         $

Contribution per unit     12    10

Contribution in value 180,000       75,000       55,000

Less: Fixed Expenses        61,000

    ----------------

Total Profit      194,000

    ------------

From the above analysis it is clear that the profit is the maximum when product B is given up. Therefore, we do not agree with the directors that C should be given up and recommend that product B should be given up in order to have the maximum profit.


 

Use the links below to see other articles in the same category.
This article is part of a book. Use the below links to navigate through the book.

Comments

this is very useful and

this is very useful and understanding

This is awesome

This is awesome

Post new comment

  • You can enable syntax highlighting of source code with the following tags: <code>. Beside the tag style "<foo>" it is also possible to use "[foo]".
  • Web page addresses and e-mail addresses turn into links automatically.
  • Lines and paragraphs break automatically.
  • Search Engines will index and follow ONLY links to allowed domains.

More information about formatting options