(a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q? + 2q + 1000. If 2000 5-gallon water bottles are produced, find the (i) total cost (ii) average cost (iii) marginal cost (iv) marginal average cost SBx² – 3 (Вх + 2 x< 2 x> 2 if (b) Suppose that f(x) if Find the value of ß so that f(x) is continuous everywhere along the real line. (c) The demand for watches is given by p = 7000 2q dollars, and the supply of watches is given by p 0.01q? + 2q + 1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches. (d) Show that x? – 4 is a factor of x* – 5x³ + 2x? + 20x – 24. -

(a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q? + 2q + 1000. If 2000 5-gallon water bottles are produced, find the (i) total cost (ii) average cost (iii) marginal cost (iv) marginal average cost SBx² – 3 (Вх + 2 x< 2 x> 2 if (b) Suppose that f(x) if Find the value of ß so that f(x) is continuous everywhere along the real line. (c) The demand for watches is given by p = 7000 2q dollars, and the supply of watches is given by p 0.01q? + 2q + 1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches. (d) Show that x? – 4 is a factor of x* – 5x³ + 2x? + 20x – 24. -

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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