3.7 - Blackboard Learning System 4/14/09 4:44 PM Your...

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Unformatted text preview: Blackboard Learning System 4/14/09 4:44 PM Your location: Assessments › View All Submissions › View Attempt View Attempt 2 of 5 Title: Started: Submitted: Time spent: Problem Set 3.7 February 15, 2009 10:21 PM February 15, 2009 10:31 PM 00:09:24 Total score adjusted by 0.0 Maximum possible score: 10 Total score: 10/10 = 100% Done 1. Provide an appropriate response. Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions. C(x) = 0.0005x3 - 0.06x 2 + 200x + 50,000 R(x) = 400x Student Response A. C'(x) = 0.0015x2 + 0.12x + 200 R'(x) = 400 P'(x) = 0.0015x2 + 0.12x + 200 B. C'(x) = 0.0015x2 - 0.12x + 200 R'(x) = 400 P'(x) = 0.0015x2 - 0.12x - 200 C. C'(x) = 0.0015x2 - 0.12x + 200 R'(x) = 400 P'(x) = -0.0015x2 + 0.12x + 200 Score: 2. Provide an appropriate response. The revenue (in thousands of dollars) from producing x units of an item is modeled by Find the marginal revenue at x = 1000. 1/1 Feedback Student Response A. $104.00 B. $4.50 http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Feedback Page 1 of 4 Blackboard Learning System 4/14/09 4:44 PM C. $10,300.00 D. $4.00 Score: 3. Provide an appropriate response. Suppose the demand for a certain item is given by D(p) = -3p 2 + 4p + 5, where p represents the price of the item. Find D'(p), the rate of change of demand with respect to price. Student Response A. D'(p) = -3p + 4 B. D'(p) = -3p 2 + 4 C. D'(p) = -6p 2 + 4 D. D'(p) = -6p + 4 Score: 4. Provide an appropriate response. The total profit from selling x units of doorknobs is average profit function. Find the marginal 1/1 Feedback 1/1 Student Response A. B. C. D. Score: 5. Solve the problem. (x) = 54x -111 (x) = 54 (x) = 54 (x) = 54x - 56 1/1 Feedback Suppose the demand for a certain item is given by , where p represents the price of the item. Find D'(p), the rate of change of demand with respect to price. http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 2 of 4 Blackboard Learning System 4/14/09 4:44 PM Student Response A. D'(p) = -6p + 4 B. D'(p) = -3p 2 + 4 C. D'(p) = -3p + 4 D. D'(p) = -6p 2 + 4 Score: 6. Find dy. y = 2x4 + 3x3 - 2x2 + 3 Student Response A. (4x3 + 3x2 - 4x) dx B. (8x3 + 9x2 - 4x) dx C. (2x3 + 3x2 - 2x) dx D. (8x3 + 9x2 - 2x) dx Score: 7. Find dy for the given values of x and dx. y= ; x = 2, dx = 0.1 1/1 1/1 Feedback Feedback Student Response A. 0.6 B. 4 C. 6 D. 0.4 Score: 8. 1/1 Feedback Find Δy and f '(x) Δx for the given function. http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 3 of 4 Blackboard Learning System 4/14/09 4:44 PM y = f(x) = 2x - 1, x = 2, and Δx = 2 Student Response A. 3; 4 B. 6; 4 C. 5; 4 D. 4; 4 Score: 9. Use the differential to find a decimal approximation of the radical expression. Round to four decimal places. 1/1 Feedback Student Response A. 9.9000 B. 9.7500 C. 9.6500 D. 9.8500 Score: 10. Solve the problem. 1/1 Feedback The total cost, in dollars, to produce x DVD players is cost when Find the marginal Student Response A. $55 B. $125 C. $66 D. $136 Score: 1/1 Feedback Done http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 4 of 4 ...
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