The given marginal function has x measured in years and MR(x) in hundreds of dollars per year. Use numerical integration on a graphing calculator to find the total revenue over the given period.
-$\operatorname{MR}(\mathrm{x})=0.03 \mathrm{x}^{3}-0.4 \mathrm{x}^{2}+2 \mathrm{x} \quad(0 \leq \mathrm{x} \leq 10)$
A) $\$ 41.67$
B) $\$ 107.72$
C) $\$ 4166.67$
D) $-\$ 5833.33$

Question

Quizplus · Accepted Answer

The total revenue is the integral of the marginal revenue function over the given period. Using numerical integration on a graphing calculator for the function $MR(x) = 0.03x^3 - 0.4x^2 + 2x$ from $x = 0$ to $x = 10$, the result is approximately 4166.67 (in hundreds of dollars), which corresponds to $4166.67.

The Given Marginal Function Has X Measured in Years and MR(x)