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The Cost Function for a Certain Model of Personal Digital C=13.54x+45,740C = 13.54 x + 45,740

Question 119

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The cost function for a certain model of personal digital assistant (PDA) is given by C=13.54x+45,740C = 13.54 x + 45,740 ,where C is measured in dollars and x is the number of PDAs produced.Write a model for the average cost per unit produced and also find the average costs per unit when x = 180 and x = 1030.(Round your answer to two decimal places. )


A) Cˉ= average cost =13.5445,740x\bar { C } = \text { average cost } = 13.54 - \frac { 45,740 } { x } C(180) =$267.65C ( 180 ) = \$ 267.65 C(1030) =$57.95C ( 1030 ) = \$ 57.95
B) Cˉ= average cost =13.54+45,740x\bar { C } = \text { average cost } = 13.54 + \frac { 45,740 } { x } Cˉ(180) =$57.95\bar { C } ( 180 ) = \$ 57.95 C(1030) =$267.65C ( 1030 ) = \$ 267.65
C) Cˉ= average cost =45,74013.54x\bar { C } = \text { average cost } = 45,740 - \frac { 13.54 } { x } C(180) =$267.65C ( 180 ) = \$ 267.65 C(1030) =$267.65C ( 1030 ) = \$ 267.65
D) Cˉ= average cost =13.54+45,740x\bar { C } = \text { average cost } = 13.54 + \frac { 45,740 } { x } C(180) =$267.65C ( 180 ) = \$ 267.65 C(1030) =$57.95C ( 1030 ) = \$ 57.95
E) Cˉ= average cost =45,740+13.54x\bar { C } = \text { average cost } = 45,740 + \frac { 13.54 } { x } C(180) =$267.65C ( 180 ) = \$ 267.65 C(1030) =$267.65C ( 1030 ) = \$ 267.65

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