How does the construction of a sector demand curve for a exclusive good differ from that for a public good?

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The market demand curve for a personal good is determined by including up the quantities demanded by each customer at each price yet the sector demand curve for a public excellent is established by adding up the price each customer is willing to pay for each quantity of the excellent.
The social benefit of a offered level of a public great is the vertical amount of all personal benefits for that level.
For particular public tasks such as building a dam on a river or a bridge to an island also, what procedure is a federal government likely to usage to determine what amount of a public excellent need to be supplied?
With a personal good, each consumer chooses the quantity she desires to consume however through a public excellent, everyone consumes the exact same quantity.
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