DJI would like to launch a new drone into the industrial market. DJI would invest $$1,320,500$ to bring the drone to market. Considering a four$-$year time frame, DJI estimates sales sales, at manufacturer$$s prices, of: Year $1$: $$288,000$; Year $2$: $$320,300$; Year $3$: $381,400$; Year $4$: $396,250.$

$(1)$ If DJI uses a four$-$year, simple cash$-$flow payback evaluation method, do they introduce the new product or not? Explain why or why not.

$(2)$ If DJI uses and a $15\%$ discount rate, do they introduce the new product or not? Explain why or why not.