This calculator helps you determine the economic feasibility of creating a Paragon in Bloons TD 6 by calculating the required number of pops (Q) or the time to reach a target profit (T), based on its high initial cost.
BTD6 Paragon Break-Even Calculator
BTD6 Paragon Break-Even Formula:
Variables Explained:
- Total Paragon Cost (F): The fixed expense required to create the Paragon, including the base tower cost and necessary sacrifices.
- Cash per Pop (P): The income generated for every single bloon popped by the Paragon. (Typically 1.0x or 1.2x with ‘More Cash’ Monkey Knowledge).
- Pops to Break Even/Target (Q): The total number of pops the Paragon needs to achieve to generate enough cash to cover its Cost (F) and the Target Profit (T).
- Target Profit (T): The desired cash amount the Paragon must generate above its initial cost (F). Set to 0 for a true Break-Even Point.
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Explore our other useful BTD6 financial and performance tools:
- Farming Efficiency Calculator
- Round Cost Analysis Tool
- T5 vs Paragon DPS Comparison
- Boss Cash per Hit Tool
What is BTD6 Paragon Break-Even?
The Break-Even Point (BEP) in the context of BTD6 Paragons is the specific number of pops a Paragon must accumulate to recover the entire cash investment made to purchase and empower it. Since Paragons are incredibly expensive, they function as long-term investments. Calculating the BEP helps players determine if a Paragon will “pay for itself” before the game ends or before its economic benefit is needed.
An economic Paragon (like the Ascended Shadow or Goliath Doomship) generates cash directly from its pops or abilities. For these Paragons, the BEP is a critical metric. For purely destructive Paragons (like the Apex Plasma Master), the ‘Income per Pop’ (P) is typically 1.0x, meaning the BEP calculation reveals the raw pop count required to match the expenditure in cash value.
How to Calculate BTD6 Paragon Break-Even (Example):
- Identify the Fixed Cost (F): Determine the final cost of the Paragon, including all sacrifices. Example: $2,500,000 Cash.
- Set Income per Pop (P): Standard income is 1.0x, but with the ‘More Cash’ Monkey Knowledge, it is 1.2x. Example: 1.2 Cash per Pop.
- Determine Target Profit (T): Set your goal. For a true break-even, T = 0.
- Apply the Formula: Divide the total required generation (F + T) by the income rate (P). $$ Q = \frac{2,500,000 + 0}{1.2} $$
- Result: $Q = 2,083,334$ Pops. This is the minimum number of pops required to recoup the investment.
Frequently Asked Questions (FAQ):
Is the Total Paragon Cost (F) the same for every game?
No. Paragon cost depends on game mode (Easy, Medium, Hard), difficulty modifiers, and whether you purchase discounts from the Monkey Village. Always use the specific cash amount spent in your current game for the most accurate calculation.
What value should I use for ‘Cash per Pop (P)’?
The base value is 1.0. If you have the ‘More Cash’ Monkey Knowledge, use 1.2. If you are using cash-generating Paragons (like Ascended Shadow), you must factor in their unique income abilities for P, which can be complex but significantly lowers the required Q.
If I solve for Pops Required (Q), is the result an exact number?
Yes, the calculated Q is the exact theoretical number of pops needed. However, in BTD6, you cannot earn fractional cash, so the true break-even pop will be slightly higher due to rounding.
Why does the calculator require at least three variables?
Because the underlying math has four variables linked by a fundamental relationship ($F+T=Q \cdot P$). To solve for one unknown, the other three must be known. If all four are entered, the calculator will perform a consistency check.