Longwei is $33$ years old and single. He is looking to take out some health insurance coverage.

Longwei earns $$112000$ per year and has not had health insurance coverage in the past. He has

entered his personal details and preferences into the iselect.com.au website and has been given a

quote of $$178$ per month before any loadings or rebates are applied.

$($a$)$ Given that Longwei is over $30$ years of age how will premium loading be applied?

$($b$)$ How much health rebate will Longwei be entitled to$?$

$($c$)$ What will be the net annual cost of the insurance after allowing for $($a$)$ and $($b$)$ above?

$($d$)$ If Longwei decides not to take out health insurance how much Medicare levy surcharge will he

have to pay?