$1.(30$ points$)$ Tiger Town Tavern is thinking about buying the business next door to expand

its business. They need to take out a $$200,000$ at year $0$ loan from Bank of America with

APR$=5\%$ compounding yearly, with uniform payment made yearly from year $1$ to $10.$

$$200,000$ is spent immediately. They are expected to get uniform $10000$ in profit per year

from year $1$ to $40$ with yearly MARR$=20\%.$

a$.(10$ points$)$ Calculate their annual payment for the loan.

b$.(10$ points$)$ Calculate the PW $($time $0)$ at MARR.

c$.(10$ points$)$ Is this project economically acceptable? If it is not acceptable, then how

much annual profit does Tiger Town Tavern need for this project to be acceptable?