Suppose your newspaper is trying to decide between two competing desktop publishing software packages: Macro Publish and Turbo Publish. You estimate that if you purchase $\backslash ($ x $\backslash )$ copies of Macro Publish and $\backslash ($ y $\backslash )$ copies of Turbo Publish, your company's daily productivity will be

$\backslash [$

U$($x$,$ y$)=5$ x$^\{0\mathrm{.}8\}$ y$^\{0\mathrm{.}4\}+$x$,$

$\backslash ]$

where $\backslash ($ U$($x$,$ y$)\backslash )$ is measured in pages per day $(\backslash ($ U $\backslash )$ is called a utility function$).$ If $\backslash ($ x$=$y$=10\backslash ),$ calculate the effect of increasing $\backslash ($ x $\backslash )$ by $1$ unit. $($Round your answers to two decimal places.$)$

$*$ pages per day

Interpret the result.

This means that, if your company now has

copies of Macro Publish andcopies of Turbo Publish, then the purchase of one additional copy of Macro

Publish will result in a productivity increase of approximately pages per day.