(a) The demand and supply functions of a particular good in a competitive market are defined respectively as p = 200q q1 and p = 30+2q. If p and q denote the price and quantity respectively, determine the equilibrium price and quantity. (b) Let the price and quantity functions of a product be given by p = 2x + k and q = x + 2 respectively, where x is a variable and k is a constant. Find the value(s) of k for which the total revenue function is always positive.

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