$1.$ You are the head of the project selection team at Anthem Systems. Your team is considering a single project that is being pushed by the CEO. You are suspicious because no assessment has been completed. Anthem expects a high rate of $20\%.$ The project will require an initial investment of $$500,000.$ It is also expected that there will be cash inflows of $$50,000$ in year $1,$ $$250,000$ in year $2,$ and $$350,000$ in year $3.(3$ Marks$)$

a$)$ Calculate the NPV $($Net Present Value$)$ based on the information you have above.

b$)$ Based on your calculation, would you recommend this project?

c$)$ Because of the CEO$$s obsession with this project and the corresponding pressure from her, what does the textbook call this type of project?