Commodity Copper is considering the installation of a $$1,656,000$ production conveyor system that would generate the following labor cost savings over its $10-$year life:Years Annual Labor Cost Savings$1-2$$$280\mathrm{.}000,3-5340,0006-8288,8009-10260,000$a$.$ 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?Note: Round your final answer to the nearest whole dollar; use a negative sign to indicate a negative net present value.$b$.$ Should the company make this investment based on the results of part $($a$)?$