Max, age $28,$ is insured under an individual medical expense policy that is part of a preferred provider organization $($PPO$)$ network. The policy has a calendar$-$year deductible of $$1,000,\frac{75}{25}$ percent coinsurance, and an annual out$-$of$-$pockef limit of $$2,000.$ Max recently had outpatient arthroscopic surgery on his knee, which he injured in a skiing accident. The surgery was performed in an outpatient surgical center. Max incurred the following medical expenses. $($Assume that the charges shown are the charges approved by Max's insurer and that all providers are in the PPO network.$)$

Outpatient $x-$rays and diagnostic tests $$800$

Covered charges in the surgical center $$12,000$

Surgeon's fee

$$3,000$

Outpatient prescription drugs

$$400$

Physical therapy expenses

$$1,200$

In addition, Max could not work for two weeks and lost $$2,000$ in earnings.

a$.$ Based on the given information, how much of the expenses will be paid by the insurance company?

b$.$ How much of the expenses will Max have to pay? Explain your answer.

c$.$ Assume that a surgeon who is not in the PPO network actually performed the surgery. Will Mark's policy cover this fee? Explain your answer.