A large construction company is going to run an experiment at one of its

projects to see how cost effective it will be to record on$-$site materials with

small radio frequency identification $($RFID$)$ chips. The project manager will

instantly track any material taken from the site store and used in

construction. The project manager expects to save the cost of staffing $3$ site

storage supervisors, which amounts to $$100,000$ per year. How much can

the manager afford to spend on its RFID investment if the system has a life

of $10$ years and no residual value? The retailer's interest rate is $15\%$ per

year.