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D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x...

D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​ item, and​ S(x) is the​ price, in dollars per​ unit, that producers are willing to accept for x units. Find

​(a​)

the equilibrium​ point,

​(b​)

the consumer surplus at the equilibrium​ point, and

​(c​)

the producer surplus at the equilibrium point.

​D(x)equals=left parenthesis x minus 9 right parenthesis squared(x−9)2​,

​S(x)equals=x squared plus 6 x plus 33

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