The specifications on an electronic component in a target$-$acquisition system are that its life mustbe between $5000$ and $10,000$ h$.$ The life is normally distributed with mean $7500$ h$.$ Themanufacturer realizes a price of $$10$ per unit produced; however, defective units are attributed toa fault in the raw materials, and the supplier must compensate the manufacturer by a cost of $$5$ perdefective unit. Two different manufacturing processes can be used, both of which have the samemean life. However, the standard deviation of life for process $1$ is $1000$ h$,$ whereas for process $2$ itis only $500$ h$.$ Production costs for process $2$ are twice those for process $1.$ What value ofproduction costs will determine the selection between processes $1$ and $2?$