The total revenue received from the sale of \( x \) units of a product is given by \( R(x)=542+\displaystyle\frac{x^{2}+3}{4} \). What will be the marginal revenue when \( x=24 \) ?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 12
The marginal revenue is the rate of change of the total revenue with respect to x.
\( \displaystyle MR=\frac{dR}{dx} \)
\( \displaystyle =\frac{2x}{4} \)
\( \displaystyle =\frac{x}{2} \)
At x = 24,
\( \displaystyle MR=\frac{24}{2} \)
\( \displaystyle =12 \)