Determining the total revenue function

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Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function is given by R(x) = 48x and that the total cost function is given by C(x) = 50 + 29x + 1/10x^2 (a) Find P(100). P(100) = (b) Find the marginal profit function MP. MP = (c) Find MP at x = 100. MP(100) = Explain what it predicts. A-Cost will decrease by |MP(100)| dollars. B-Profit will decrease by |MP(100)| dollars. C-Profit will increase by |MP(100)| dollars. D-Cost will increase by |MP(100)| dollars. (d) Find P(101) - P(100). $ Explain what this value represents. A-The sale of the 101st unit will increase profit by |P(101) - P(100)| dollars. B-The sale of the 101st unit will decrease profit by |P(101) - P(100)| dollars. C-The sale of the 100th unit will increase profit by |P(101) - P(100)| dollars. D-The sale of the 100th unit will decrease profit by |P(101) - P(100)| dollars.

Reference no: EM132080217

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