In Exercises 11 through 14, p = S(q) is the price (dollars per unit) at which q units of a particular commodity will be supplied to the market by producers, and q₀ is a specified level of production. In each case, find the price p₀ = S(q₀) at which q₀ units will be supplied and compute the corresponding producers’ surplus PS. Sketch the supply curve y = S(q) and shade the region whose area represents the producers’ surplus.

S(q) = 0.3q² + 30; q₀ = 4 units