4:0376% ןה. lוa+ECON1003_Altern...2_ 2019-2020 - Read-onlyRead Only - You can't save changes to t..shown including formulae where applicable.Question 1(a) The cost of producing 5-gallon water bottles is given byC(q) = 0.005q² + 2q + 1000.If 2000 5-gallon water bottles are produced, find the(i) total cost(ii) average cost(iii) marginal cost(iv) marginal average costSßx²(b) Suppose that f(x) = {Bx - 3(Bх + 2ififFind 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 = 0.01q² + 2q + 1000 dollars,where q is the number of watches demanded and supplied when the price perwatch is p dollars. Based on the information provided, calculate the equilibriumquantity and the equilibrium price for watches.(d) Show that x² – 4 is a factor of x* – 5x3 + 2x? + 20x – 24.Page 2Question 2(a) For matrix A =(5 ), if g(X) = x² + 4x + 2, what is the answer to g(A)?(b) Using algebra, find the solution to the system of inequalities belowy<5- 3xу+ 192 х2 - 8х

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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