Question

Find the consumers' surplus and producers' surplus for
p = D(x) = 71 - (1/10)x and
p = S(x) = 35 + (1/20)x
the equilibrium price is where supply equals demand.

71 - 1/10 x = 35 + 1/20 x
x = 240

Pmax (the y-intercept of D) is 710

Consumer surplus is thus

∫[240,710] D(x) dx

and just take it from there. Similarly for producer surplus.

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