(1) If the total cost of a firm is C(x)=1.5x' – 5x² + 20x+5. Find the marginal cost (in dollars) when 25 units are produced and sold.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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(1) If the total cost of a firm is C(x)=1.5x – 5x² +20x+5. Find the marginal cost (in dollars)
when 25 units are produced and sold.
(2) The number q of roller blades a firm is willing to sell per week at a price of Sp is given by
q = 60 p+25 +300 for 20<ps100.
dq
(i) Find
dp
(ii) Find the amount supplied when the price is $56.
(ii) Find the instantaneous rate of change of supply with respect to price when the price is $56.
Transcribed Image Text:(1) If the total cost of a firm is C(x)=1.5x – 5x² +20x+5. Find the marginal cost (in dollars) when 25 units are produced and sold. (2) The number q of roller blades a firm is willing to sell per week at a price of Sp is given by q = 60 p+25 +300 for 20<ps100. dq (i) Find dp (ii) Find the amount supplied when the price is $56. (ii) Find the instantaneous rate of change of supply with respect to price when the price is $56.
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