A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily...
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A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by C'(x) = 0.0006x -0.14x + 23 where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $700. (a) Find the total cost incurred by Ditton in producing the first 300 units of these toaster ovens per day. $ (b) What is the total cost incurred by Ditton in producing the 201st through 300th units/day? $ Efficiency Studies A division of a certain toy company manufactures an electronic football game. An efficiency study showed that the rate at which the games are assembled by the average worker t hr after starting work at 8 A.M. is -2+ units/hour. + 8t + 17 (0 ts 4) (a) Find the total number of games the average worker can be expected to assemble in the 4 hr morning shift. units (b) How many units can the average worker be expected to assemble in the first hour of the morning shift? units How many units can the average worker be expected to assemble in the second hour of the morning shift? units Tablet Computers Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the function f(t)= 0.18t + 0.16t+ 2.64 (0 ts 10) per year, where t is measured in years, with t = 0 corresponding to 1997. How many tablet computers will be sold over the 10 year period between the beginning of 1997 and the end of 2006? (Round your answer to two decimal places.) 3.76 x million units. Need Help? Read It Master it Cell Phone Ad Spending Cell phone advertising spending is expected to grow at the rate of R(t) = 0.8256t-0.04 (1 t 5) billion dollars/year between 2007 (t = 1) and 2011 (t = 5). The cell-phone ad spending in 2007 was $0.9 billion.t (a) Find an expression f(t) giving the cell phone ad spending in year t. f(t) = (b) If the trend continued, what was the cell-phone ad spending in 2012? (Round your answer to two decimal places.) $ billion A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by C'(x) = 0.0006x -0.14x + 23 where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $700. (a) Find the total cost incurred by Ditton in producing the first 300 units of these toaster ovens per day. $ (b) What is the total cost incurred by Ditton in producing the 201st through 300th units/day? $ Efficiency Studies A division of a certain toy company manufactures an electronic football game. An efficiency study showed that the rate at which the games are assembled by the average worker t hr after starting work at 8 A.M. is -2+ units/hour. + 8t + 17 (0 ts 4) (a) Find the total number of games the average worker can be expected to assemble in the 4 hr morning shift. units (b) How many units can the average worker be expected to assemble in the first hour of the morning shift? units How many units can the average worker be expected to assemble in the second hour of the morning shift? units Tablet Computers Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the function f(t)= 0.18t + 0.16t+ 2.64 (0 ts 10) per year, where t is measured in years, with t = 0 corresponding to 1997. How many tablet computers will be sold over the 10 year period between the beginning of 1997 and the end of 2006? (Round your answer to two decimal places.) 3.76 x million units. Need Help? Read It Master it Cell Phone Ad Spending Cell phone advertising spending is expected to grow at the rate of R(t) = 0.8256t-0.04 (1 t 5) billion dollars/year between 2007 (t = 1) and 2011 (t = 5). The cell-phone ad spending in 2007 was $0.9 billion.t (a) Find an expression f(t) giving the cell phone ad spending in year t. f(t) = (b) If the trend continued, what was the cell-phone ad spending in 2012? (Round your answer to two decimal places.) $ billion
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Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
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