Howard Co$.$ is thinking about launching a $3-$year project that will require an initial investment of $$44,000.$ If market demand is strong, Howard Co$.$ thinks that the project will generate cash flows of $$28,000$ per year. However, if market demand is weak, the company believes that the project will generate cash flows of only $$1,750$ per year. Howard Co$.$ thinks that there is a $50\%$ chance that demand will be strong and a $50\%$ chance that demand will be weak.

If the company uses a project cost of capital of $10\%,$ what will be the expected net present value $($NPV$)$ of this project if the company is ignoring the timing option?

A$.-$$$5,957$

B$.-$$$7,008$

C$.$ $$5,606$

D$.$ $$6,307$