What is the gross profit earned if the total cost of the unit sold is in the first days and the marginal revenue is at the rate of ?

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AP Calculus AB

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Use accumulation functions and definite integrals in applied contexts

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1 Sep 2020

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Find the gross profit earned if the total cost of the unit sold is in the first and the marginal revenue is at the rate of .

8. (5 points) If marginal cost is less than marginal revenue, then increasing the quan- tity sold by one unit will increase profit. True False

3. In all of this question let q> 0 represent quantity (i.e. number of units) and p > 0 represent unit price (i.e. price per unit). Assume a demand function p = and an average cost 1 100 function cq) = + (a) Given that "profit = revenue - cost" find the profit function, F(q). [4 points) (b) Find the value of q that maximizes total profit and state the maximum profit. Sufficiently justify that your value actually maximizes the total profit function. [9 points) (c) Verify that "marginal revenue" = "marginal cost" at the value of q that maximizes total profit. [3 points)

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