$1.$Legends Limited wishes to purchase $4500$ shares of Countdown Computing, Inc. The company's board of directors has declared a cash dividend of AED $0\mathrm{.}75$ to be paid to holders of Cum$-$Dividend onTuesday, March $15,2024.$a$.$ Identify the last day that Legends Limited can purchase the stock and still receive the dividend? Also give reasons.

b$.$ Legends Limited does not want to retain the stock, once she become eligible to get the dividend. Identify the day she can sell the stock and still receive the dividend?Also give reasons.

c$.$ Solve how much dividend will Legends Limited receive from

Countdown Computing?