Comment why is this point significant analytically.

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter7: Production And Cost In The Firm
Section: Chapter Questions
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A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines).

        c(x) = 80000 - 2(x-200)2

        f(x) = (x-10)3 + (x+10)2

  1. Find the marginal cost analytically, and draw its graph
  2. Find the marginal revenue analytically, and draw its graph
  3. Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically.
  4. Write the profit function and draw its graph
  5. Is the profit function concave up or concave down?
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