MiTech Foundry plans to purchase a new tester for use in its manufacturing processes for very

large$-$scale integrated circuits. Three possible testers are under consideration: the $0$R$9000,$ the

J$941,$ and the Sentry $50.$ There are four evaluation measures: cost in hundreds of thousands of

dollars, accuracy in picoseconds, delivery time in months, and uptime in percentage.

For the following analysis, assume a range of one to three hundred thousand dollars for cost,

$500$ to $1000$ picoseconds for accuracy, three to six months for delivery time, and $95$ to $99$

percent for uptime. Preferences are monotonically increasing $("$more is better"$)$ for uptime, and

monotonically decreasing $("$more is worse"$)$ for cost, accuracy, and delivery time. The single

dimensional value function over cost is linear $($that is$,$ this function is piecewise linear with

only one straight$-$line segment$).$ The single dimensional value function over accuracy is

exponential as follows