A company’s marginal revenue function is given as MR(x) = 5000 – 100x. Find the total revenue function and the total revenue maximizing output. About the author Margaret
Given : A company’s marginal revenue function is given as MR(x) = 5000 – 100x To Find : the total revenue function and the total revenue maximizing output. Solution: The marginal revenue is the derivative of the revenue function MR(x) = 5000 – 100x integrating R(x) = 5000x – 100x²/2 + C => R(x) = 5000x – 50x² + C C is constant at x = 0 Revenue is 0 Hence R(0) = 0 – 0 + C = 0 => C = 0 Hence R(x) = 5000x – 50x² Hence total revenue maximizing output is when 5000x -50x² is max R'(x) = 5000 – 100x R'(x) = 0 => 5000 – 100x = 0 => x = 50 R”(x) = – 100 < 0 Hence maximum when x = 50 total revenue maximizing output. is 50 Learn More: The revenue function for a product is r =600q 0.5q2 and the cost … brainly.in/question/10321657 Q. By considering the Particulous as mentioned:-fixed cost-1.5 Lakh … brainly.in/question/13282320 Reply
Given : A company’s marginal revenue function is given as MR(x) = 5000 – 100x
To Find : the total revenue function and the total revenue maximizing output.
Solution:
The marginal revenue is the derivative of the revenue function
MR(x) = 5000 – 100x
integrating
R(x) = 5000x – 100x²/2 + C
=> R(x) = 5000x – 50x² + C
C is constant
at x = 0 Revenue is 0
Hence R(0) = 0 – 0 + C = 0
=> C = 0
Hence R(x) = 5000x – 50x²
Hence total revenue maximizing output is when 5000x -50x² is max
R'(x) = 5000 – 100x
R'(x) = 0
=> 5000 – 100x = 0
=> x = 50
R”(x) = – 100 < 0
Hence maximum when x = 50
total revenue maximizing output. is 50
Learn More:
The revenue function for a product is r =600q 0.5q2 and the cost …
brainly.in/question/10321657
Q. By considering the Particulous as mentioned:-fixed cost-1.5 Lakh …
brainly.in/question/13282320