A revenue function is given by $R ( x ) = 6000 x - 0.4 x ^ { 3 }$ . where x is the number of units sold. Find the marginal revenue when $x = 50$ .
A)4000
B)300
C)250,000
D)5000
E)500
F)3000
G)40,000
H)Does not exist

Question

Quizplus · Accepted Answer

The marginal revenue is the derivative of the revenue function. $R'(x) = 6000 - 1.2x^2$. Evaluating at $x = 50$, $R'(50) = 6000 - 1.2(50)^2 = 6000 - 3000 = 3000$.

A Revenue Function Is Given By R(x)=6000x−0.4x3R ( x ) = 6000 x - 0.4 x ^ { 3 }R(x)=6000x−0.4x3

A Revenue Function Is Given By $R ( x ) = 6000 x - 0.4 x ^ { 3 }$