Same chapter3 marksDifficulty: Medium
Define the break-even point and the elasticity of demand.
Application of Calculus in Commerce and Economics
3 marksDifficulty: Medium
The total cost of producing x units is C(x) = 2x2 + 10x + 50 and the revenue is R(x) = 40x. Find the level of output at which the profit is greatest.
Original Khojo Papers practice question — not from a past board paper.
Answer
7.5 units, giving a profit of ₹62.50
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Profit P = R − C = −2x2 + 30x − 50, so dP/dx = −4x + 30 vanishes at x = 7.5 and the second derivative is negative.
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