Question

The total revenue in Rupees received from the sale of \( x \) units of a product is given by \( R(x) = 3x^2 + 36x + 5 \). The marginal revenue, when \( x = 15 \), is _____

• A. \( 116 \)
• B. \( 90 \)
• C. \( 96 \)
• D. \( 126 \)

Hint:

Marginal value = derivative evaluated at given point.

Answer 1

The Correct Option is D

Concept: Marginal revenue = derivative of revenue function.
Step 1: Differentiate. \[ R'(x) = 6x + 36 \]
Step 2: \[ R'(15) = 6(15) + 36 = 90 + 36 = 126 \]