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

question 119

Multiple Choice

The cost function for a certain model of personal digital assistant (PDA) is given by $C = 13.54 x + 45,740$ ,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) \(\bar { C } = \text { average cost } = 13.54 - \frac { 45,740 } { x }\) \(C ( 180 ) = \$ 267.65\) \(C ( 1030 ) = \$ 57.95\)
• B) \(\bar { C } = \text { average cost } = 13.54 + \frac { 45,740 } { x }\) \(\bar { C } ( 180 ) = \$ 57.95\) \(C ( 1030 ) = \$ 267.65\)
• C) \(\bar { C } = \text { average cost } = 45,740 - \frac { 13.54 } { x }\) \(C ( 180 ) = \$ 267.65\) \(C ( 1030 ) = \$ 267.65\)
• D) \(\bar { C } = \text { average cost } = 13.54 + \frac { 45,740 } { x }\) \(C ( 180 ) = \$ 267.65\) \(C ( 1030 ) = \$ 57.95\)
• E) \(\bar { C } = \text { average cost } = 45,740 + \frac { 13.54 } { x }\) \(C ( 180 ) = \$ 267.65\) \(C ( 1030 ) = \$ 267.65\)

---

Definitions:

Recommendations

Advice or suggestions given based on expertise or experience, often in a professional context.

Inductive Reasoning

A reasoning method where several assumptions, considered accurate or usually accurate, are merged to reach a particular inference.

Deductive Reasoning

A logical process where a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Research Report

A document presenting the findings of a research project, including methodology, data analysis, and conclusions.