Fin-Tastic Publishers seeks to determine the optimal price for a new children’s book. The analysis requires calculating the breakeven price at $6.00, then using demand curve data to identify that $9.00 maximizes profit at $720M by selling 240M copies with a $3.00 contribution margin per unit.
Key Insights:
- Breakeven price ($6.00) is not the optimal price; it only recovers costs but generates no profit
- Contribution margin (price - variable cost) is the key driver of profitability after breakeven
- Price sensitivity analysis reveals demand drops below target (200M copies) at $10, making $9.00 the sweet spot
- At $9.00 price point: 240M units × $3.00 contribution margin = $720M profit (vs $500M at $8.00 or $280M at $7.00)
- Candidates should recognize that higher prices reduce volume but the margin expansion more than compensates until demand becomes too constrained