Question

A company's marginal revenue function is MR=150−8x1/3, where x is the number of units. Find the revenue function. (Evaluate C so that revenue is zero when nothing is produced.)

Answer 1

Answer:

R(x) = 150x - 6$x^{4/3}$

Explanation:

Marginal Revenue function = 150 - 12$x^{1/3}$

Revenue function = $\int\limits^a_b {150 - 8x^1/3} \, dx$

R(x) = 150x - 8*(x^1/3+1) / (1/3 + 1) + c

R(x) = 150x - 8*3/4x^4/3 + c

R(x) = 150x - 6x^4/3 + c

Given R(o) = 0

R(o) = 0 = O + C --- C = O

R(x) = 150x - 6$x^{4/3}$