The Function Given Below Gives the Cost to Manufacture X $h = 0.0001$

question 86

Short Answer

The function given below gives the cost to manufacture x items. Estimate (using $h = 0.0001$ ) the instantaneous rate of change of the total cost at the production level $x = 80$ .
​ $C ( x ) = 14,700 + 100 x + \frac { 900 } { x }$ ​
Enter your answer as a number without the units rounded to the nearest tenth.

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Definitions:

Personal Injury

Physical or psychological harm to a person resulting from someone else's negligence, intentional actions, or strict liability.

Negligence Action

A lawsuit brought against a party who is accused of failing to exercise a reasonable standard of care, leading to injury or harm to another.

Construction Project

A planned undertaking that involves the building or assembling of infrastructure.

Breach Of Duty

Breach of duty occurs when an individual fails to meet the standards of care required by law, often leading to negligence claims.