The specifications on an electronic component in atarget$-$acquisition system are that its life must bebetween $5,000$ and $10,000$ h$.$ The life is normallydistributed with mean $7\mathrm{.}500$ h$.$ The manufacturerrealizes a price of $$10$ per unit produced; however,defective units must be replaced at a cost of $$5$ tothe manufacturer. Two different manufacturingprocesses can be used, both of which have the samemean life. However, the standard deviation of lifefor process $1$ is $1000$ h$,$ whereas for process $2$ it isonly $500$ h$.$ Production costs for process $2$ are twicethose for process $1.$ What value of production costswill determine the selection between processesand $2?$