Logic Board Defective

If the Apple Store or Apple Authorized Service Provider did not see the AppleCare+ coverage, then the extended coverage may not be properly registered with Apple or Apple's systems have a glitch. You should be able to provide Apple or the AASP with the proof of purchase for the extended coverage. They will then submit the information to Apple for validation and approval. If Apple accepts your receipt for the extended coverage, then the repair should be covered under warranty (assuming no accidental damage, or at a reduced cost if there is accidental damage).

No matter what you need to discuss the issue with the Apple Store, the AASP, the retailer where you purchased the extended coverage, or with Apple support directly (click the "Contact Support" link at the top right of this page).

Are you sure the extended coverage you purchased was for AppleCare+ or may it have been an extended warranty provided by the retailer from whom you purchased the laptop? If the latter, then the extended warranty coverage would be through the retailer where you purchased the laptop (or the vendor who is under contract by the retailer to provide the extended service -- which may not be an official Apple repair).

Good luck.

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