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Mathematics - Calculus - Consumer's Surplus

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Consumers' Surplus

p = D(q) is the price (dollars per unit) at which q units of a particular commodity will be demanded by the market (that is, all q units will be sold at this price), and q0 is a specified level of production. Find the price p0 = D(q0) at which q0 units will be demanded and compute the corresponding consumers' surplus CS. Sketch the demand curve y = D(q) and shade the region whose area represents the consumers' surplus.

D(q) = 150 - 2q - 3q^2; q0 = 6 units

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Consumers' Surplus

p = D(q) is the price (dollars per unit) at which q units of a particular commodity will be demanded by the market (that is, all q units will be sold at this price), and q0 is a specified level of ...

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