Break-Even Point Determination

Understanding the break-even point is crucial for any organization. The break-even point is the level of production or sales where the total revenue equals the total cost, meaning there is no net loss or gain. At this point, the organization has covered all its expenses.

Key Cost Components

To calculate the break-even point, we need to identify the different cost components:

• Fixed Cost (FC): These are costs that do not change regardless of the level of production within a relevant range. For this organization, the fixed cost per month is Rs. 12000. Examples include rent, salaries of administrative staff, and depreciation of machinery.
• Variable Cost (VC): These costs vary directly with the number of products produced. For this product, the variable cost per unit is Rs. 24. This includes costs like raw materials, direct labor, and production utilities.
• Unit Selling Price (SP): This is the price at which each unit of the product is sold. The unit selling price for this product is Rs. 48.

Break-Even Formula

The fundamental principle for achieving break-even is when the total revenue generated from sales equals the total costs incurred. This can be expressed as:

Total Revenue = Total Cost

We can expand this formula using the cost components:

\(\text{Unit Selling Price} \times \text{Quantity Produced} = \text{Fixed Cost} + (\text{Variable Cost per Unit} \times \text{Quantity Produced})\)

Step-by-Step Calculation

Let's denote the minimum production per month needed to achieve break-even as \(Q\). We can substitute the given values into our break-even formula:

• Fixed Cost (FC) = Rs. 12000
• Variable Cost per product = Rs. 24
• Unit Selling Price (SP) = Rs. 48

So, the equation becomes:

\(48Q = 12000 + 24Q\)

Now, we need to solve for \(Q\):

1. Subtract \(24Q\) from both sides of the equation to group the terms involving \(Q\):

   \(48Q - 24Q = 12000\)

2. Simplify the left side:

   \(24Q = 12000\)

3. Divide both sides by 24 to find the value of \(Q\):

   \(Q = \frac{12000}{24}\)

4. Perform the division:

   \(Q = 500\)

Conclusion on Production

Therefore, to achieve the break-even point, the organization must produce and sell a minimum of 500 products per month. At this production level, the total revenue generated will exactly cover the fixed costs and the total variable costs of production.