During a shopping spree in China, C$.$ Dundee has bought a Sony CD boom

box $($with woofers and tweeters$)$ for $CY2,000,$ jade jewelry for $CY4,000,$ and

four custom$-$made suits for $CY25,000.$ The spot exchange rate is CY : AUD$=5.$

$($a$)$ If PPP held, what should the same boom box, jewelry, and suits cost in

Australia?

$($b$)$ Suppose Mr Dundee is $($unexpectedly$)$ stopped at customs as he arrives in

Melbourne, and must pay import duties of $20$ percent. If the same boom box,

jewelry, and suits cost AUD $450,$ AUD $1,500,$ and AUD $8,000$ in Australia,

respectively, was his shopping spree worth at least the HKD $10,000$ paid for

airfare and hotels during his trip?