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Calculate a business's producer surplus if they sell an item at $15, given a demand equation p = 0.1q + 5 for a price p.

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Calculate a business's producer surplus if they sell an item at $15, given a demand equation p = 0.1q + 5 for a price p. The demand and supply curves for a brand of ukuleles are given by D(q) = 800 - 60q - q2 and S(q) = 80 + 2q respectively. a) Find both the Equilibrium quantity and price. b) Determine the Consumers Surplus at equilibrium. Determine the Producers Surplus at equilibrium

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