Question

The demand function for a particular product is given by d(x)=√−0.25x²+6x 110 dollars, where x is the number of units sold. what is the marginal revenue when 13 items are sold? round your answer to 2 decimal places.

Answer 1

To find the marginal revenue when 13 items are sold, differentiate the demand function with respect to x and evaluate it at x = 13. The marginal revenue is $0.375.

Step-by-step explanation:

To find the marginal revenue when 13 items are sold, we need to differentiate the demand function with respect to x and evaluate it at x = 13. The demand function is given by d(x) = √(-0.25x² + 6x + 110). Differentiating this function, we get d'(x) = -0.125x + 3.

Substituting x = 13 into d'(x), we have d'(13) = -0.125(13) + 3.

Calculating this expression gives us a marginal revenue of $0.375.