Shan Co$.$ is considering a four$-$year project that will require an initial investment of $$7,000.$ The base$-$case cash flows for this project are projected to be $$12,000$ per year. The best$-$case cash flows are projected to be $$19,000$ per year, and the worst$-$case cash flows are projected to be $-$$$3,000$ per year. The company's analysts have estimated that there is a $50\%$ probability that the project will generate the base$-$case cash flows. The analysts also think that there is a $25\%$ probability of the project generating the best$-$case cash flows and a $25\%$ probability of the project generating the worst$-$case cash flows.What would be the expected net present value $($NPV$)$ of this project if the project's cost of capital is $14\%?$ $$23,245.$ $$17,710$$$22,138$$$24,352$Shan now wants to take into account its ability to abandon the project at the end of year $2$ if the project ends up generating the worst$-$case scenario cash flows. If it decides to abandon the project at the end of year $2,$ the company will receive a one$-$time net cash inflow of $$3,000($at the end of year$2).$ The $$3,000$ the company receives at the end of year $2$ is the difference between the cash the company receives from selling off the project's assets and the company's $-$$$3,000$ cash outflow from operations. Additionally, if it abandons the project, the company will have no cash flows in years $3$ and $4$ of the project.