Easy2Siksha.com
o Sales = 6,400 × 140 = Rs. 896,000
o Total VC = 6,400 × 95 = Rs. 608,000
o Total contribution = 6,400 × 45 = Rs. 288,000
o Total fixed overhead allocated (per unit FO × units) = 9 × 6,400 = Rs. 57,600
• B (3,200 units):
o Sales = 3,200 × 120 = Rs. 384,000
o Total VC = 3,200 × 85 = Rs. 272,000
o Total contribution = 3,200 × 35 = Rs. 112,000
o Total fixed overhead = 22 × 3,200 = Rs. 70,400
• C (2,400 units):
o Sales = 2,400 × 90 = Rs. 216,000
o Total VC = 2,400 × 50 = Rs. 120,000
o Total contribution = 2,400 × 40 = Rs. 96,000
o Total fixed overhead = 18 × 2,400 = Rs. 43,200
Step 3 — aggregate and compute budgeted profit
Sum across products:
• Total Sales = 896,000 + 384,000 + 216,000 = Rs. 1,496,000
• Total Variable Cost = 608,000 + 272,000 + 120,000 = Rs. 1,000,000
• Total Contribution = 288,000 + 112,000 + 96,000 = Rs. 496,000
• Total Fixed Overhead = 57,600 + 70,400 + 43,200 = Rs. 171,200
Budgeted Profit = Total Contribution − Total Fixed Overhead = 496,000 − 171,200 = Rs.
324,800.
So the planned production schedule yields a profit of Rs. 324,800.
(ii) Optimal product-mix when raw material is limited to 18,400 kg
Now the plot thickens: suppose the raw-material store has only 18,400 kg. We must
reassign what to produce (up to budgeted maxima) to maximize profit. This is a classic
constrained optimisation: the constraint is raw material (kg). The right approach is to
compute contribution per kg of raw material for each product, and produce in descending
order of this ratio (up to their budgeted quantities).
Step 1 — raw material usage per unit
Since raw material price is Rs. 20 per kg:
• A uses 80/20 = 4 kg per unit
• B uses 40/20 = 2 kg per unit
• C uses 20/20 = 1 kg per unit
Step 2 — contribution per kg