You are planning a $30-$day vacation on Langkawi Island, Malaysia, one year from now. The present charge for a luxury suite plus meals in Malaysian ringgit $($RM$)$ is RM$1,050/$day$.$ The Malaysian ringgit presently trades at RM $3\mathrm{.}75/$S$.$ Hence, today's dollar cost for a $30-$day stay would be $$8,400.$ The hotel has informed you that any increase in its room charges will be limited to any increase in the Malaysian cost of living. Malaysian inflation is expected to be $4\%$ per annum, while US inflation is expected to be only $1\%$

a$.$ How many dollars might you expect to need one year hence to pay for your $30-$day vacation?

b$.$ By what percent has the dollar gone up$?$

c$.$ When you planned the vacation $($a year ago$),$ your budget was made considering the exchange rate at the time $($Hence a cost of $$8,400).$ There was no money for anything extra. Now that you face a new exchange rate, if you wanted to buy a gift for your significant other for $$200,$ would you be able to afford it$?$ Assume that all other expenses are covered. Provide relevant calculations to show if you can afford the gift.