Suppose that the revenue R, in dollars, from selling x clocks is R ( x )  = 30x. The cost C, in dollars, of selling x clocks is C ( x ) = 0.1x2 + 7x + 400. Show all your work and explain in sentences. Find the profit function, P ( x ) = R ( x ) – C ( x ). Find the profit if x =  30 clocks are sold. Interpret P (30).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Suppose that the revenue R, in dollars, from selling x clocks is R ( x )  = 30x. The cost C, in dollars, of selling clocks is C ( x ) = 0.1x2 + 7x + 400. Show all your work and explain in sentences.

  1. Find the profit function, P ( x ) = R ( x ) – C ( x ).
  2. Find the profit if =  30 clocks are sold.
  3. Interpret P (30)
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