I do not understand how to solve these. If you could write out step by step, I would really appreciate it.

The demand function for an electronics company's car stereos is D(q) = 222.4 18q and the supply function is 3(q) = 27q + 51.4, where q is measured in thousands. (a) At what price is the market for the stereos in equilibrium? is _ x Enter a number. (b) Compute the total surplus corresponding to the price from part (a). $ X (c) What is the maximum total surplus? $ X Suppose a population always grows at a rate equal to 1/100 of the population size (measured in members per year). Write a differential equation that represents this relationship. (Let P(t) represent the population t years from now.) d_P = dt If the population is currently 40,000, find a solution to the differential equation that gives the population t years from now