Practicing Success

Target Exam

CUET

Subject

Entrepreneurship

Chapter

Business Arithmetic

Question:

Toy craft produces toy alligators and toy dolphins. Fixed costs are  Rs1,290,000 per year. Sales revenue and variable costs per unit are as follow:

Particulars Alligators (in Rs) Dolphins (in Rs)
Sales price 20 25
Variable Price 8 10

Suppose the company currently sells 140,000 alligators per year and 60,000 dolphins per year (Sales Mix Percentage 14:6). Assuming the sales mix stays constant, answer the following question.

How many alligators and Dolphins must the company sell to break even?

Options:

70,000 Units of Alligators and 30,000 units of dolphin

30,000 Units of Alligators and 70,000 units of dolphin

36,000 Units of Alligators and 15,000 units of dolphin

1,40,000 Units of Alligators and 60,000 units of dolphin

Correct Answer:

70,000 Units of Alligators and 30,000 units of dolphin

Explanation:

 

Particulars Alligators (in Rs) Dolphins (in Rs) Total 
Total Units 1,40,000 60,000 2,00,000
Sales price 20 25  
Variable Price 8 10  
Sales  28,00,000 15,00,000 43,00,000
Variable Cost 11,20,000 6,00,000 17,20,000
Contribution Margin (Sales-Variable Cost) 16,80,000 9,00,000 25,80,000
Less Fixed Cost     12,90,000
Net Income     12,90,000

 Weighted Average Contribution Margin= Total Contribution/ Total Units

25,80,000/2,00,000=Rs 12.90 

Break Even Point= Fixed Cost/Weighted Average Contribution =12,90,000/12.90=1,00,000 Units

Allocating total units to each products based on Expected Units Proportion=14:6

Alligators to be produced for breakeven= 1,00,000*14/20=70,000 Units

Dolphins to be produced for breakeven=1,00,000*6/20=30,000 Units

So toy crafts has to produce 70,000 toy alligators and 30,000 toy dolphins for breakeven.