Question

Limits at Ifinity and Limits of Sequences 787 57. Business The cost function for a certain model of a personal digital assistant (PDA) is given by C I 3.50x + 45,750, where C is the cost (in dollars) and x is the number of PDAs produced. (a) Write a model for the average cost per unit produced (b) Find the average costs per unit when 100 and x 1000. (c) Determine the limit of the average cost function as x approaches infinity. Explain the meaning of the limit in the context of the problem. OLLOW THE FORMULAR E PICTURES IF NEEDED Chapter Ih It Limits and n Introdaction to bele evaluate limits at Limits of Sequences nfinity for Rational Functions Section imits at at Infinity real number, then cesider the rational function Dx) without bound. ด' terms of thi imi to conser " Ό(L Using linii natation, you can write if x' is defined when a m, then the limit daes not exist ir lo, is u sequence sach that Pigure $1.29 Definition o Limits at finity is a functins and and L ure real nambens, then the statemen far every positive integer a, then mple3 Finding the Average Cost lu are manufacturing greeting cards that ost Su 50 per cd roce.Yor inia bsinent is $5000, which implies that the total cost C of proda:ingr canls is and A sequence thse does noe converge is said to diverge. For instance, the seu denote the linits at ¡¡¡ก็เǐty. The first statrment is read "the linur nrns> on C- 050+5000. diverges because it does not appeoach a unique number

Answer 1

hen o uni Koduced $4m fer unit nC (looo 3.5t L-(45950 0cD =1000 verage cost pu onit iohun loo0 unit FpA 45 S0 lim 7 As the number et un PDA Poduced hcreand t.htrig “ dan the podudeo 4 PO. Fuaches imitiy o maninam then the average cot pe Pmitot PDA u 申13-5