Question

In: Accounting

You are a new consultant with the Boston Group and have been sent to advise the...

You are a new consultant with the Boston Group and have been sent to advise the executives of penury Company. The company recently acquired product line L from an out-of-state concern and now plans to produce it, along with its old standby K, under one roof in a newly renovated facility. Management is quite proud of the acquisition, contending that the larger size and related cost savings will make the company far more profitable. The planner results of the month’s operations, based on management’s best estimates of the maximum product demanded at today’s selling price are:

LINE K LINE L
Amount Per unit Amout Per unit Total
Sale revenue $ 120,000.00 $    1.20 $ 80,000.00 $    0.80 $ 200.00
Variable expense 60000 0.60 60000 0.60 120
Contribution margin $   60,000.00 $    0.60 $ 20,000.00 $    0.20 $   80.00
Fixed expense       50.00
Net income $   30.00

  

Required:

Based on historical operations, K alone incurred fixed expenses of $40,000, and L alone incurred fixed expenses of $20,000. Find the break-even point in sales dollars and units for each product separately.

Give reasons why the fixed cost for the two products combined are expected to be less than the sum of the fixed costs of each product line operating as a separate business.

Solutions

Expert Solution

Product K:

Income statement
Particulars Per unit Total
Units          1,00,000
Sales revenue            1.20          1,20,000
Minus:
Variable cost            0.60             60,000
Contribution            0.60             60,000
Minus:
Fixed cost             40,000
Net operating income             20,000
Contribution margin ratio
Ref Particulars Amount
a Sales revenue          1,20,000
b Contribution             60,000
c=b/a *100 Contribution margin ratio 50%
Break even point Break even point
a Contribution per unit            0.60 a Contribution margin ratio 50%
b Fixed costs        40,000 b Fixed costs      40,000
c=b/a BEP units 66,666.67 c=b/a BEP sales      80,000

Product L;

Income statement
Particulars Per unit Total
Units          1,00,000
Sales revenue                  0.80             80,000
Minus:
Variable cost                  0.60             60,000
Contribution                  0.20             20,000
Minus:
Fixed cost             20,000
Net operating income                      -  
Contribution margin ratio
Ref Particulars Amount
a Sales revenue             80,000
b Contribution             20,000
c=b/a *100 Contribution margin ratio 25%
Break even point Break even point
a Contribution per unit                  0.20 a Contribution margin ratio 25%
b Fixed costs             20,000 b Fixed costs      20,000
c=b/a BEP units       1,00,000.0 c=b/a BEP sales      80,000

When operating commonly some common costs can be eliminated such as:

Additional warehouses, additional personnel, Rents, etc..

these benefits are called synergy.

Some operations can be redundant which are eliminated on combining together. Like administration and accounting department which only one can take care of two products accounting.


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