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The Average Time Before Breakdown of a Machine Is Normally

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The average time before breakdown of a machine is normally distributed and has a mean of 7 weeks and a standard deviation of 1.5 weeks.If breakdown cost averages $2,500 and preventive maintenance costs $500, what is the optimal preventive maintenance interval?


Definitions:

Solve

To solve an equation means to find all possible values of the variable that make the equation true.

Expression

A combination of symbols that represent a quantity or formula, which can include numbers, variables, and operation symbols.

Solve

To find the value(s) of variable(s) that satisfy an equation, inequality, system of equations, or other mathematical conditions.

Expression

A combination of symbols and operators in mathematics that represents a value.

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