Suppose that the marginal revenue for a retailer is 6 $x ^ { 2 }$

Question

Suppose that the marginal revenue for a retailer is 6 $x ^ { 2 }$ - $\sqrt { x }$ + x dollars at sales level x. If 4 units are currently being sold, what is the extra revenue received from the sale of 5 additional units?
A) $152
B) 1304 + $\frac { 259 } { 6 }$ ≈ $1347.17
C) 568 + $\frac { 42 } { 17 }$ ≈ $570.47
D) $\frac { 11 } { 6 }$ ≈ $1.83
E) none of these

Quizplus · Accepted Answer

To find the extra revenue from the sale of 5 additional units, we integrate the marginal revenue function from the current sales level (4 units) to the new sales level (9 units). The marginal revenue function is $6x^2 - \sqrt{x} + x$. The integral of this function will give us the total revenue function, and evaluating this integral from 4 to 9 will give us the extra revenue. The choices provided do not match the result of this calculation, indicating that the correct answer is not listed among the options.

Suppose That the Marginal Revenue for a Retailer Is 6 x2x ^ { 2 }x2