A total revenue function is given by R(x)= 1000(x^2-0.1x)^1/2 Where R(x) is the

Question

A total revenue function is given by R(x)= 1000(x^2-0.1x)^1/2 Where R(x) is the total revenue, in thousands of dollars, from the sale of x airplanes. Find the rate at which total revenue is changing when 20 airplanes have been sold. A total revenue function is given by R(x)= 1000(x^2-0.1x)^1/2 Where R(x) is the total revenue, in thousands of dollars, from the sale of x airplanes. Find the rate at which total revenue is changing when 20 airplanes have been sold. Where R(x) is the total revenue, in thousands of dollars, from the sale of x airplanes. Find the rate at which total revenue is changing when 20 airplanes have been sold.

Explanation / Answer

R(x)= 1000(x^2-0.1x)^1/2

R'(x)= (1000(2x-0.1))/(2(x2--0.1x)1/2)

at x=20

R'(x)= (1000(2*20-0.1))/(2(202-0.1*20)1/2)=1000

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