Milwaukee Paper Manufacturing, Inc., located near downtown Milwaukee, has Iong been delaying the

expense of installing air pollution control equipment in its facility. The Environmental Protection

Agency $($EPA$)$ has recently given the manufacturer $16$ weeks to install a complex air filter system.

Milwaukee Paper has been warned that it may be forced to close the facility unless the device is

installed in the allotted time. Joni Steinberg. the plant manager, wants to make sure that installation of

the filfering system progresses smoothly and on time.

Suppose that Milwakee Paper Manufacturing has been given only $13$ weeks $($instead of $16$ weeks$)$ to

install the new pollution control equipment or face a court$-$ordered shutdown.

this $13-$week due date. Naturally, Steinberg is interested in speeding up the project by $2$ weeks, at the

least additional cost.