The total investment amount of a biomass conversion facility established in the Marmara region is $3\mathrm{.}125\mathrm{.}000,00$ TL$.$ The capital cost of the company is $25\%.$ It has been calculated that the expense item for the personnel working at the facility will be $60,000$ TL for the first year and will increase by $15,000$ TL each year. It is thought that the economic life of the facility will be $20$ years. Energy expenses are $100,000$ TL in the first year and it is predicted to increase by $\%7\mathrm{.}5$ each year. $200$ tons $/$ year of product is obtained in the conversion facility. Since the sales price of the product is $5000$ TL $/$ ton;

a$)$ Calculate the present value $($BD$)$ and the future value of the investment value

b$)$ Calculate the NPV value of this project.

c$)$ Find the payback period $($GOS$-2)$ of the facility by preparing a table.

d$)$ Find the time the facility operates profitably and the time risk of the investment.