Problem Set A 1. Given that K = {(q,p)| q = R, p = R, p = . q}. Determine the Domain and Range of K. [2 marks] 2. Samsung's total revenue curve is R(q) = 126q + 40q² and its average cost is A(q) = q² + 12q - 1233 - 6930 q a. State the name of the function derived when the average cost, A(q), and Samsung's quantity, q, are multiplied. [1 mark] b. Decompose the revenue function into its individual functions. [2 marks] c. Derive a function for the firm's total profit, II(q). [4 marks] d. Determine the firm's quantity produced and sold when its profit is zero. [6 marks]

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