Question $1$

the HBNA plant require an investment of $$200$ million. Delays beyond the anticipated implementation year of $2027$ will require additional money to construct the plant. Assuming that the cost of money is $10\%$ per year compound interest, determine the following for the board of directors of the Italian company that plans to develop the plant.

$($a$)$ The equivalent investment needed in $2030$ if the plant is delayed for $3$ years.

$($b$)$ The equivalent investment needed in $2023$ if the plant is constructed much sooner than originally planned, due to favorable changes in income tax laws in the United States.