Anne Dietz lives in Singapore, but is making her first business trip to

Sydney, Australia. Standing in Singapore's new terminal #$3$ at Changi

Airport, she looks at the foreign exchange quotes posted over the FX

trader's booth. She wishes to exchange $3,000$ Singapore dollars $($S$ or

SGD$)$ for Australian dollars $($A $ or AUD$).$ What Anne sees:

Spot rate $(SGD=1\mathrm{.}00$USD$),1\mathrm{.}3404$

Spot rate AUD$),0\mathrm{.}7598$

a$.$ What is the Singapore dollar to Australian dollar cross rate?

b$.$ How many Australian dollars will Anne get for her Singapore dollars?