💡 Show solution AI SOLUTION
Step 1 – Segregate Fixed and Variable Overheads for FY 2024-25
Let Fixed Overhead = F and Variable Overhead (for 40,000 units) = V.
Given: F + V = ₹25,000 crores.
For FY 2025-26, the fixed component decreases by ₹500 crores and total overhead (fixed + variable for 50,000 units) = ₹28,500 crores. Since variable overhead is assumed to vary proportionately with units:
New Fixed OH = (F − 500)
New Variable OH = V × (50,000 ÷ 40,000) = 1.25V
So: (F − 500) + 1.25V = 28,500 → F + 1.25V = 29,000
Subtracting F + V = 25,000: 0.25V = 4,000 → V = ₹16,000 crores; F = ₹9,000 crores
Step 2 – Per Unit Cost Structure for FY 2024-25
All figures in ₹ crores per unit (dividing by 40,000 units):
- Selling Price per unit = ₹2.50
- Raw Material per unit = ₹1.25
- Direct Wages per unit = ₹0.375
- Variable Overhead per unit = 16,000 ÷ 40,000 = ₹0.40
- Fixed Overhead (total) = ₹9,000 crores
- Profit per unit = 10,000 ÷ 40,000 = ₹0.25 crores ← target to sustain
Step 3 – Revised Cost Structure for FY 2025-26
- Selling Price per unit = ₹2.50 (no change stated)
- Raw Material per unit = ₹1.25 (no change stated)
- Direct Wages per unit = ₹0.375 × 1.20 = ₹0.45 (20% increase)
- Variable Overhead per unit = ₹0.40 (unchanged per unit)
- Fixed Overhead = 9,000 − 500 = ₹8,500 crores
Step 4 – Contribution per Unit (FY 2025-26)
Contribution = SP − Variable Cost per unit
= 2.50 − (1.25 + 0.45 + 0.40)
= 2.50 − 2.10 = ₹0.40 crores per unit
Step 5 – Minimum Units for Same Per Unit Profit
Let N = minimum units to be sold.
Required: Profit ÷ N = ₹0.25 crores → Total Profit = 0.25N
Using P/V relationship:
Total Contribution − Fixed Costs = Total Profit
0.40N − 8,500 = 0.25N
0.15N = 8,500
N = 8,500 ÷ 0.15 = 56,667 units (rounded up)
The minimum number of units Axion Industries must sell in FY 2025-26 to sustain a per unit profit of ₹0.25 crores is 56,667 units.