Mathematics · Optimization and Profit Maximization
A firm has a Total Cost function given by TC = 50,000 + 10Q and an inverse Demand function expressed as P = 100 - 0.02Q, where P represents the unit market price and Q denotes the output quantity. What is the optimal production quantity (Q) that maximizes the firm's total profit?
- 14,500 units
- 22,500 units✓
- 32,250 units
- 42,000 units
Correct answer
2,500 units
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