A particular commodity has a price$-$demand equation given by p$=$sqrt$(13,411-415$ x$),$ where x is the amount in pounds of the commodity demanded when the price is p dollars per pound.

$($a$)$ Find consumers' surplus if the equilibrium quantity is $30$ pounds. $($Round your answer to the nearest cent if necessary.$)$

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$($b$)$ Find consumers' surplus if the equilibrium price is $14$ dollars. $($Round your answer to the nearest cent if necessary.$)$

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Enter a number.