Question Part
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Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by
C(x) = 50 + 0.10x + 0.001x2 dollars.
(a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.]

Question

Question Part
Points
Submissions Used
Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by
C(x) = 50 + 0.10x + 0.001x2 dollars.
(a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.]

anonymous · Answer

90¢ per copy
R(x)=o.90x
cost C(x) = 50 + 0.10x + 0.001x^2 dollars.
C'(x)=0.1+0.002x
C'(1)=0.1+0.002(1)
C'(1)=$0.102 marginal cost to produce one unit
Profit P(x):
 P(x)=R(x)-C(x)
  P(x)=0.90x-[50 + 0.10x + 0.001x^2]
 P(x) =-50+0.80x-0.001x^2
Marginal profit P'(x)
 P'(x)=0.80-0.002x
 P'(x)=0.80-0.002x0.80-0.002(1)
 P'(x)=$0.798 Marginal profit for the sale of one unit  ..ans
marginal revenue R'(x)=$0.90 ans