We draw the long-run aggregate supply curve as a vertical line to reflect the fact that changes in the price level do not alter the level of potential real output.
The long-run aggregate supply curve is vertical when a country is at full employment, and the wages here are flexible. The long-run aggregate supply curve is vertical because, in the long run, resource prices adjust to changes at the price level. Thus, this leaves no incentive for firms to alter their level of potential real output.
When a market supply curve is vertical, the quantity of that good is fixed no matter what the price of the good is.
Hence, a vertical curve illustrates a good that has zero elasticity.
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