In Exercises 7 through 10, 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. In each case, 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) = 2(64 − q²); q₀ = 3 units