Question

At Break Even point in a business

• A. FC=VC
• B. TC=TR
• C. MC=MR
• D. MIC=MVP

Hint:

Remember the definition of "breaking even":
- No Profit, No Loss $\rightarrow$ Money coming in (TR) must exactly equal money going out (TC) $\rightarrow$ $TC = TR$.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Break-even analysis is a financial management tool used to determine the level of sales or production volume at which a business earns zero profit and suffers zero loss.
At this point, the business has generated enough revenue to cover all of its operating costs.

Step 2: Detailed Explanation:
Let us analyze the cost and revenue relationships at the break-even point:
The profit ($\pi$) equation of a business is: \[ \text{Profit } (\pi) = \text{Total Revenue (TR)} - \text{Total Cost (TC)} \] where: - Total Revenue (TR) is the total money received from sales.
- Total Cost (TC) is the sum of all fixed costs ($FC$) and variable costs ($VC$):
\[ TC = FC + VC \] At the break-even point:
- The business makes neither a profit nor a loss, meaning $\text{Profit } (\pi) = 0$.
- Substituting this into the profit equation: \[ 0 = TR - TC \implies TC = TR \] Therefore, at the break-even point, Total Cost (TC) equals Total Revenue (TR).
This matches the expression in option (B).
Let us review the other options:
- $FC = VC$ is not a requirement for breaking even; fixed and variable costs can be equal at any production volume.
- $MC = MR$ is the condition for profit maximization, not the break-even point.
- $MIC = MVP$ (Marginal Input Cost = Marginal Value Product) is the condition for optimal input use in production economics.

Step 3: Final Answer:
At the break-even point, Total Cost (TC) equals Total Revenue (TR).
Therefore, the correct option is (B).