Commodity Copper is considering the installation of a $$1,782,000$ production conveyor system that would generate the following labor cost savings over its $10-$year life:

Years Annual Labor Cost Savings

$12$ $$280,000$

$35340,000$

$68288,800$

$910260,000$

a$.$ The system will have no salvage at the end of its $10-$year life, and the company uses a discount rate of $12$ percent. What is the pre$-$tax net present value of this potential investment?