Donald has just finished high school and is thinking about two career paths. Regardless

of the path chosen, he will retire $40$ years after leaving high school.

$-$ Plan A: Start to work right away. Assume Donald makes $$25,000$ per year $($paid

out monthly$)$ for the first $10$ years, then receives a $30\%$ raise every $10$ years $(1-10,$

$11-20,21-30,31-40).$

$-$ Plan B : Go to university. Assume Donald incurs loans of $$20,000$ to cover the

costs of living plus tuition each year $($for four years$).$ Donald takes these loans out

at the beginning of each year. These loans incur no interest while he is a student

but re$-$payment is expected to begin one month after the graduation. His starting

salary after graduation is expected to be $$40,000/$year $($paid out monthly$)$ with

a $25\%$ raise every six years $(5-10,11-16,17-22,23-28,29-34,35-40).$ His student

loans will be repaid over $10$ years with monthly payments $($paying interests at the

rate quoted below$).$Over the entire $40-$year period, the interest rate at which Donald can borrow or invest

is quoted $($stated$)$ at $8\%,$ monthly compounded. Which plan should Donald choose?