Mathematics – Calculus – Consumer’s Surplus
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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