Question $2(15$ marlas$)$: Your compaty has a $5250,000$ loan for apprading is produstion lachiry, Ine annual pryment is $$80\mathrm{.}000,$ and the imerest mate is $6\%$ anmally for $40$ yoars. Afer reviesing your finances, your compary realizes if can increase its ansual paymest no $525,000$ starting from the $6^{**}$ yoar owward.

$($a$)$ How many botal years will is take bo pay off de loan with this new poymemt suructue?

$($b$)$ Draw a cash flow diagrm for this pugment verochure, clearly showing the arnal payments and the shith in payment arnourt afler the $5$ year.