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$\mathrm{D}(\mathrm{x})$ is the price, in dollars per unit, that consumers are willing to pay for $\mathrm{x}$ units of an item, and $\mathrm{S}(\mathrm{x})$ is the price, in dollars per unit, that producers are willing to accept for $\mathrm{x}$ units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point.$\newline$$$D(x)=-\frac{5}{6} x+13, S(x)=\frac{1}{2} x+5$$