** will give brainliest**

show work

  a.  $7142.50

Step-by-step explanation:

In my experience computation of health insurance benefits is a mysterious process known only to the insurance company (and not always consistently applied). Here's my take on this set of charges.

The total of these is ...

  $180 +300 +412.50 +4650 +1600 = $7142.50

Comments on this result

It is not clear to me that the Hospital Admission Charge is not a Hospital Charge, but it is apparently not covered by insurance (based on the answers). This computation seems to presume that all charges are non-network. Even though the bills are apparently accumulated by a single individual, the family deductible seems to be charged.

When I use the "single" annual deductible and consider the admission charge part of the hospital charges, I get a total of $5732.50 for out-of-pocket expense. I had to find ways to make the total increase to get it into the range of the offered answers.

the answer is 5636.7