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A company determined that the total cost (in $) of producing units for one of its products can be described using the function C(x) =

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A company determined that the total cost (in $) of producing units for one of its products can be described using the function C(x) = 3x + 22000. They also determined that the price-demand function of this product is given by p(x) = -0.01x + 60, where p is the product unit price ($) given the demand of a units. (A) Determine the revenue function R(a) and its domain. Answer: R(x) Domain: Write your answer in interval form. B) Sketch the graph of the revenue function in your work document, identifying all important points. C) When will the company reach maximum revenue? What is the maximum revenue? Answer: Maximum revenue is $ and it will be reached when units are sold. (D) Determine the profit function P(x). Answer: P(x) = (E) Determine the number of units to be sold in order to break even. Round answers to the nearest unit. Remember that the rounding for break- even should never result in a loss. Answer: To break even, they should sell units of the product

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