1. For a certain commodity, the Demand function is given be 5(x) = 4 + 22:2 and the Supply function is given by D(:z:) = 20 4a: a) Determine the equilibrium point. b) Write the integral to determine the Producer Surplus at equilibrium. Do not solve 0) Write the integral to determine the Consumer Surplus at equilibrium. Do not solve 20 2. Let C(m) be the cost to produce 3: Chairs. If C(10) = 250, and C'(3:)daz = 25, evaluate C(20). 10 3. The rate of sales per month of a company is given by S'(t) = 635! a) Write the integral to find the average total sales per month for the entire year (do not solve) b) Write the integral to find the total sales for the second quarter, which is from the beginning of March to the end of August. (do not solve)