Suppose that a person learns y items in x hours, as given by y = 50x,...

 

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Suppose that a person learns y items in x hours, as given by y = 50x, 0x4. Find the rate of learning at the end of 1 hour and at the end of 4 hours. ..... The rate of learning at the end of 1 hour is items per hour. (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.) 100- 0 4 X Find the marginal revenue function. R(x) = 3x -0.07x R'(x) = The total cost (in dollars) of producing x food processors is C(x) = 2000+ 90x -0.1x. (A) Find the exact cost of producing the 71st food processor. (B) Use the marginal cost to approximate the cost of producing the 71st food processor. (A) The exact cost of producing the 71st food processor is $ The profit (in dollars) from the sale of x lawn mowers is P(x) = 40x -0.04x - 750. (A) Find the average profit per mower if 20 mowers are produced. (B) Find the marginal average profit at a production level of 20 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 21 mowers are produced. (A) If 20 mowers are produced, the average profit per mower is $ (Round to the nearest cent as needed.) The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 5000-50p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 4100 clock radios. (D) Interpret R'(4400) = -76.00. (A) p = p(x) = Suppose that a person learns y items in x hours, as given by y = 50x, 0x4. Find the rate of learning at the end of 1 hour and at the end of 4 hours. ..... The rate of learning at the end of 1 hour is items per hour. (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.) 100- 0 4 X Find the marginal revenue function. R(x) = 3x -0.07x R'(x) = The total cost (in dollars) of producing x food processors is C(x) = 2000+ 90x -0.1x. (A) Find the exact cost of producing the 71st food processor. (B) Use the marginal cost to approximate the cost of producing the 71st food processor. (A) The exact cost of producing the 71st food processor is $ The profit (in dollars) from the sale of x lawn mowers is P(x) = 40x -0.04x - 750. (A) Find the average profit per mower if 20 mowers are produced. (B) Find the marginal average profit at a production level of 20 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 21 mowers are produced. (A) If 20 mowers are produced, the average profit per mower is $ (Round to the nearest cent as needed.) The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 5000-50p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 4100 clock radios. (D) Interpret R'(4400) = -76.00. (A) p = p(x) =