1 The weekly profit, in dollars, from the production and sale of x bicycles is given by P(x) = 40.00x - 0.005x2 Currently, the company produces and sells 800 bicycles per week. Use the marginal profit to estimate the change in profit if the company produces and sells one more bicycle per week. A. 40.00 dollars B. 32.00 dollars C. 48.00 dollars D. 20.00 dollars QUESTION 2 Suppose that the weekly profit, in dollars, of producing and selling x cars is P(x) = 0.006x3 - 0.3x2 + 960x - 900 and currently 60 cars are produced and sold weekly. Use P( 60) and the marginal profit when to estimate the weekly profit of producing and selling 61 cars. Round to the nearest dollar. A. $56,083 B. $57,905 C. $55,182 D. $55,269 QUESTION 3 For the total-cost function C(x) = 0.01x2 + 0.8x + 50 find C and C'(x) when x = 50 and x = 1 A. C = $1.81; C'(50) = $1.00 B. C = $1.00; C'(50) = $1.00 C. C = $1.81; C'(50) = $1.30 D. C = $1.81; C'(50) = $1.80 QUESTION 4 The total cost, in dollars, to produce x DVD players is C(x) = 70 + 7x - x2 + 2x3 Find the marginal cost when x = 3 A. $136 B. $55 C. $125 D. $66 QUESTION 5 A company estimates that the daily cost (in dollars) of producing x chocolate bars is given by C(x) = 1635 + 0.02x + 0.0004x2 Currently, the company produces 600 chocolate bars per day. Use marginal cost to estimate the increase in the daily cost if one additional chocolate bar is produced per day. A. $0.62 B. $0.50 C. $62.00 D. $50.00 QUESTION 6 Suppose that the daily cost, in dollars, of producing x televisions is C(x) = 0.003x3 + 0.1x2 + 62x + 620 and currently 60 televisions are produced daily. Use C(60) and the marginal cost to estimate the daily cost of increasing production to 63 televisions daily. Round to the nearest dollar. A. $5667 B. $5635 C. $5481 D. $5673 QUESTION 7 A company estimates that the daily revenue (in dollars) from the sale of x cookies is given by: R(x) = 885 + 0.02x + 0.0003x2 Currently, the company sells 900 cookies per day. Use marginal revenue to estimate the increase in revenue if the company increases sales by one cookie per day. A. $0.92 B. $0.56 C. $56.00 D. $92.00 QUESTION 8 The profit, in dollars, from the sale of x compact disc players is P(x) = x3 -8x2 + 9x + 7 Find the marginal profit when x = 10. A. $156 B. $149 C. $290 D. $297 QUESTION 9 A company finds that when it spends x million dollars on advertising, its profit P, in thousands of dollars, is given by P(x) = 970 + 15x - 4x2 Currently the company spends 17 million dollars on advertising. Use the marginal profit to estimate the change in profit if the company increases its advertising expenditure by one million dollars. A. -121 thousand dollars B. 119 thousand dollars C. 970 thousand dollars D. 255 thousand dollars QUESTION 10 A grocery store estimates that the weekly profit (in dollars) from the production and sale of x cases of soup is given by P(x) = -5600 + 9.5x - 0.0017x2 and currently 1300 cases are produced and sold per week. Use the marginal profit to estimate the increase in profit if the store prodcues and sells one additional case of soup per week. A. $7.29 B. $5.52 C. $3877.00 D. $5.08