If x represents the number of items produced, (a) write a cost function, (b) find a revenue function if each item sells for the price given, (c) state the profit function, (d) determine analytically how many items must be produced before a profit is realized (assume whole numbers of items), and (e) support the results of part (d) graphically. The fixed cost is $600, the cost to produce an item is $25, and the selling price of the item is $50. (a) The cost function is C(x) = (Simplify your answer. Do not factor.) (b) The revenue function is R(x) = (Simplify your answer. Do not factor.) (c) The profit function is P(x) = - (Simplify your answer. Do not factor.)

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