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# Finite Mathematics and Applied Calculus 7th Stefan Waner Steven Costenoble-Test Bank

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Finite Mathematics and Applied Calculus 7th Stefan Waner Steven Costenoble-Test Bank

Sample Questions

1. Find the vertex of the graph of the quadratic function.

 a. b. c. d. e.

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 4/4/2016 9:30 AM

2. Find the y-intercept(s) of the graph of the quadratic function.

 a. b. ​ c. d. e.

 ANSWER: e POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 3:40 AM

3. For the following demand equation, express the total revenue R as a function of the price p per item.

 a. b. c. d. e.

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 3:42 AM

4. For the following demand equation, find the largest possible revenue.

 a. 3,200 b. 5,120,000 c. 7,680,000 d. 800 e. 2,560,000

 ANSWER: e POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 3:42 AM

5. For the following demand equation, find the largest possible revenue.

 a. 1,620,000 b. ​450 c. ​900 d. ​810,000 e. ​648,000

 ANSWER: d POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 3:44 AM

6. The following chart shows the value of trade between two countries for the period 1994 – 2004 ( represents 1994).

Which of the following models best approximates the data given? (Try to answer this without actually computing values.)

 a. b. c. d. e.

 ANSWER: e POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 5/19/2016 9:41 AM

7. The fuel efficiency (in miles per gallon) of a sport utility vehicle (SUV) depends on its weight according to the formula

where x is the weight of an SUV in pounds. According to the model, what is the weight of the least fuel-efficient SUV?

 a. 3,000 pounds b. 3,100 pounds c. 2,000 pounds d. 6,000 pounds e. 491 pounds

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 4:13 AM

8. Suppose the amount of carbon dioxide (in pounds per 15,000 miles) released by a typical sport utility vehicle (SUV) depends on its fuel efficiency according to the formula

where x is a fuel efficiency of an SUV in miles per gallon. According to the model, what is the fuel efficiency of an SUV that has the least carbon dioxide pollution?

 a. 14 miles per gallon b. 19 miles per gallon c. 18 miles per gallon d. 32 miles per gallon e. 29 miles per gallon

 ANSWER: e POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 4:14 AM

9. The market research department of the Better Baby Buggy Co. predicts that the demand equation for its buggies is given by where q is the number of buggies it can sell in a month if the price is \$x per buggy. What is the largest monthly revenue? Round your answer to the nearest dollar.

 a. \$85 b. ​\$14,450 c. ​\$170 d. ​\$7,225 e. ​\$28,900

 ANSWER: b POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 5/19/2016 10:06 AM

10. The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research department predicts that the demand equation for Turbos is given by where q is the number of buggies it can sell in one month if the price is \$x per buggy. At what price should it sell the buggies to get the largest revenue? Round the result to the nearest dollar.

 a. \$14 b. ​\$110 c. ​\$28 d. ​\$128 e. ​\$3,025

 ANSWER: c POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 5/19/2016 10:09 AM

11. Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, due to the crowding and smaller lot sizes. In fact, if the company builds 60 houses in this particular development, it can sell them for \$160,000 each, but if it builds 70 houses, it will be able to get only \$150,000 each. What is the largest possible revenue the company can get? Round your answer to the nearest dollar.

 a. \$11,000,000 b. ​\$11,856,000 c. ​\$363,000 d. ​\$12,100,000 e. ​\$12,226,000

 ANSWER: d POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 4/4/2016 9:37 AM

12. Encouraged by the popularity of your Dungeons and Dragons website, www.mudbeast.net, you have decided to charge users who log on to the site. When you charged a \$1.50 access fee, your web counter showed a demand of 270 “hits” per month. After you lowered the price to \$0.50, activity increased to 350 “hits” per month. Obtain the monthly revenue R as a function of the access fee x.

 a. b. ​ c. ​ d. ​ e. ​

 ANSWER: c POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 5/19/2016 10:10 AM

13. The two fraternities Sigma Alpha Mu and Ep Sig plan to raise money jointly to benefit homeless people on Long Island. They will sell Starship Troopers T-shirts in the Student Center, but they are not sure how much to charge. Sigma Alpha Mu treasurer Solo recalls that they once sold 100 shirts in a week at \$4 each, but Ep Sig treasurer Justino claims that, based on past experience, they can sell 400 per week if they charge \$2 each. The university administration charges the fraternities \$700 per week for use of the Student Center. What is the largest possible weekly profit, rounded to the nearest dollar?

 a. \$700 b. \$117 c. \$817 d. \$233 e. \$1,633

 ANSWER: b POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 4:24 AM

14. You have just opened a new nightclub, Russ’s Techno Pitstop, but you are unsure how much to charge for the cover charge (entrance fee). One week you charged \$9 cover per guest and averaged 372 guests per night. The next week you charged \$20 per guest and averaged 240 guests per night. Find the linear demand equation showing the number of guests q per night as a function of the cover charge p.

 a. b. ​ c. ​ d. ​ e. ​

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 4:27 AM

15. You are the sales manager for Montevideo Productions, Inc., and you are planning to review the prices you charge clients for television advertisement development. You currently charge each client an hourly development fee of \$2,500. With this pricing structure, the demand, measured by the number of contracts Montevideo signs per month, is 35 contracts. This is down 10 contracts from the figure last year, when your company charged only \$2,000. Construct a linear demand equation giving the number of contracts q as a function of the hourly fee p Montevideo Productions, Inc., charges for development.

 a. b. ​ c. ​ d. ​ e. ​

 ANSWER: c POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 5/19/2016 10:12 AM

16. For the following demand equation, find the largest possible revenue.

\$ __________

 ANSWER: 540,000 POINTS: 1 QUESTION TYPE: Numeric Response HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 4:33 AM

17. Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, due to the crowding and smaller lot sizes. In fact, if the company builds 60 houses in this particular development, it can sell them for \$190,000 each, but if it builds 70 houses, it will be able to get only \$170,000 each. What is the largest possible revenue the company can get?

\$ __________

 ANSWER: 12,012,500 POINTS: 1 QUESTION TYPE: Numeric Response HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 3/30/2016 4:36 AM

Choose the correct letter for each question.

 a. b. ​ c. ​

 QUESTION TYPE: Matching HAS VARIABLES: True DATE CREATED: 2/10/2016 3:41 PM DATE MODIFIED: 10/17/2016 7:02 AM

18. –5

19. 2, 4

20. ​none

4_1_Systems_of_Two_Equations_in_Two_Unknowns

1. If the addition or subtraction of two linear equations results in the equation , then the graphs of those equations are perpendicular.

 a. True b. False

 ANSWER: False POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True OTHER: wcfm04.02.01.61c DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 11:05 AM

2. If the addition or subtraction of two linear equations results in the equation , then the graphs of those equations are parallel.

 a. True b. False

 ANSWER: True POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True OTHER: wcfm04.02.01.61b DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 11:06 AM

3. If adding two linear equations gives  and subtracting them gives , then the graphs of those equations are perpendicular.

 a. ​True b. ​False

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True DATE CREATED: 10/26/2016 5:07 AM DATE MODIFIED: 10/26/2016 5:13 AM

4. If the addition or subtraction of two linear equations results in the equation , then the graphs of those equations intersect in a single point.

 a. True b. False

 ANSWER: False POINTS: 1 QUESTION TYPE: True / False HAS VARIABLES: True OTHER: wcfm04.02.01.60 DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 11:11 AM

5. If the addition or subtraction of two linear equations results in the equation , then the graphs of those equations are _______.

 a. equal b. parallel c. not parallel d. perpendicular e. none of these

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.60m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 11:11 AM

6. If the addition or subtraction of two linear equations results in the equation , then the graphs of those equations are ______.

 a. equal b. not parallel c. perpendicular d. parallel e. none of the above

 ANSWER: d POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.61m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 11:12 AM

7. If adding two linear equations gives  and subtracting them gives , then the graphs of those equations are:

 a. perpendicular b. equal c. parallel d. not parallel e. none of these

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.62m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 11:13 AM

8. Find the solution to the system of equations.

 a. b. c. d. e.

 ANSWER: e POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.04m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 12:38 PM

9. Find the solution to the system of equations.

 a. b. c. d. e.

 ANSWER: c POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.05m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 10/26/2016 4:06 AM

10. Find the solution to the system of equations.

 a. b. c. d. e. No solution

 ANSWER: e POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.06m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 12:43 PM

11. Find the solution to the system of equations.

 a. b. c. d. An infinite number of solutions e. No solutions

 ANSWER: d POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.10m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 12:45 PM

12. Find all solutions of the given system and choose the graph of the system that shows the solutions.

 a. ​ b. ​ c. ​ d. ​ e. ​

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.01m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 10/26/2016 4:13 AM

13. Find all solutions of the given system and choose the graph of the system that shows the solutions.

 a. ​ b. ​ ​ c. ​ d. ​ e. ​

 ANSWER: d POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.03m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 12:47 PM

14. Find all solutions of the given system and check your answer graphically.

 a. b. c. d. No solutions e. An infinite number of solutions

 ANSWER: c POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.09m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 10/26/2016 4:14 AM

15. Find all solutions of the given system and choose the graph of the system that shows the solutions.

 a. ​ b. ​ c. ​ d. ​ e. ​

 ANSWER: d POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.12m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 12:33 PM

16. Find all solutions of the given system, and check your answer graphically.

 a. b. c. d. redundant e. inconsistent

 ANSWER: e POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.14m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 12:54 PM

17. Find all solutions of the given system and choose the graph of the system that shows the solutions.

 a. ​ b. ​ c. ​ d. ​ e. ​

 ANSWER: b POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.02m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 1:11 PM

18. Find all the solutions to the given system, and check your answer graphically.

If the equations of the system are redundant, or if a system is inconsistent, so indicate.

 a. b. c. d. inconsistent e. redundant

 ANSWER: e POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.11m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/6/2016 7:05 AM

19. Find the intersection of the line through  and  and the line through  and .

If the equations of the system are redundant, or if a system is inconsistent, so indicate. Round your answer to the nearest tenth.

 a. b. c. d. inconsistent e. redundant

 ANSWER: b POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.21m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 1:18 PM

20. In March 2002 Cisco (CSCO) stock rose from \$18 to \$19, and America Online-Time Warner (AOL) dropped from \$34 to \$33. If you invested a total of \$12,000 in these stocks at the beginning of March and sold them for \$11,800 at the end of March, how many shares of each stock did you buy?

 a. 200 shares of Cisco and 200 shares of America Online-Time Warner b. 159 shares of Cisco and 300 shares of America Online-Time Warner c. 100 shares of Cisco and 300 shares of America Online-Time Warner d. 300 shares of Cisco and 100 shares of America Online-Time Warner e. 80 shares of Cisco and 310 shares of America Online-Time Warner

 ANSWER: c POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.33m DATE CREATED: 2/10/2016 3:49 PM DATE MODIFIED: 5/5/2016 1:21 PM

21. In a certain month, Nortel (NT) stock started and ended the month valued at \$4.70 a share, and Altria Group (MO) increased from \$48 to \$52 a share. If you invested a total of \$5,458 in these stocks at the beginning of this month and sold them for \$5,858 at the end of this month, how many shares of each stock did you buy?

 a. 130 shares of NT and 120 shares of MO b. 140 shares of NT and 100 shares of MO c. 101 shares of NT and 254 shares of MO d. 100 shares of NT and 140 shares of MO e. 130 shares of NT and 470 shares of MO

 ANSWER: b POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.34m DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:17 AM

22. The U.S. House of Representatives has 435 members. If an appropriations bill passes the House with 51 more members voting in favor than against, how many voted for and how many voted against?

 a. 294 for and 141 against b. 141 for and 294 against c. 192 for and 243 against d. 243 for and 192 against e. 244 for and 191 against

 ANSWER: d POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.37m DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:20 AM

23. The U.S. Senate has 100 members. For a bill to pass with a super majority, at least twice as many senators must vote for the bill as against it. If 93 senators vote, how many must vote for a bill for it to pass with a super majority?

 a. 62 senators must vote for the bill b. 50 senators must vote for the bill c. 67 senators must vote for the bill d. 31 senators must vote for the bill e. 66 senators must vote for the bill

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.38m DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:20 AM

24. The best sports dorm on campus, Lombardi House, has won a total of 7 games this semester. Some of these games were soccer games, and the others were football games. According to the rules of the university, each win in a soccer gamer earns the winning house 3 points, whereas each win in a football game earns them 7 points. If the total number of points Lombardi House earned was 41, how many of each type of game did they win?

 a. 5 soccer games and 2 football games b. 3 soccer games and 4 football games c. 2 soccer games and 5 football games d. 0 soccer games and 7 football games e. 7 soccer games and 0 football games

 ANSWER: c POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.39m DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:24 AM

25. The demand and supply functions for your college newspaper are listed in order below:

Here  is the price in dollars, and  represents the quantity of papers that consumers will buy, or that the paper can produce. At what equilibrium price should the newspapers be sold so that there is neither a surplus nor a shortage of papers?

 a. 25 cents per paper b. 3 cents per paper c. 1 cents per paper d. 4 cents per paper e. 2 cents per paper

 ANSWER: a POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.44m DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:29 AM

26. If the addition or subtraction of two linear equations gives the results:

​, ​

then the graphs of those equations will have a relationship to each other that can be described as follows.

 a. intersecting b. parallel c. equal d. none of the above

 ANSWER: b POINTS: 1 QUESTION TYPE: Multiple Choice HAS VARIABLES: True OTHER: wcfm04.02.01.61 DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 10/26/2016 5:33 AM

27. A system of three equations in two unknowns corresponds to three lines in the plane. Describe how these lines might be positioned if the system has no solutions?

 a. The three lines could form a triangle. b. There could be two parallel lines, with a third crossing them. c. The three lines intersect at a single point. d. There could be two parallel lines. e. The three lines intersect at a single point, but two of the lines are the same and the third one crosses them.

 ANSWER: a, b, d POINTS: 1 QUESTION TYPE: Multiple Response HAS VARIABLES: False OTHER: wcfm04.02.01.54m DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 7:13 AM

28. The U.S. Senate has 100 members. For a bill to pass with a super majority, at least twice as many senators must vote for the bill as against it. If 96 senators vote, how many must vote for a bill for it to pass with a super majority?

__________ senators must vote for the bill.

 ANSWER: 64 POINTS: 1 QUESTION TYPE: Numeric Response HAS VARIABLES: True OTHER: wcfm04.02.01.38 DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:41 AM

29. The demand and supply functions for your college newspaper are, respectively,  and , where p is the price in dollars. At what price should the newspapers be sold so that there is neither a surplus nor a shortage of papers?

__________ cents per paper

 ANSWER: 24 POINTS: 1 QUESTION TYPE: Numeric Response HAS VARIABLES: True OTHER: wcfm04.02.01.44 DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:44 AM

30. Find all the solutions (if any) of the given system.

If the equations of the system are redundant, or if a system is inconsistent, so indicate.

 ANSWER: POINTS: 1 QUESTION TYPE: Subjective Short Answer HAS VARIABLES: True OTHER: wcfm04.02.01.05 DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:53 AM

31. Find all the solutions (if any) of the given system.

If the equations of the system are redundant, or if a system is inconsistent, so indicate.

 ANSWER: POINTS: 1 QUESTION TYPE: Subjective Short Answer HAS VARIABLES: True OTHER: wcfm04.02.01.06 DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:56 AM

32. Find all the solutions (if any) of the given system.

If the equations of the system are redundant, or if a system is inconsistent, so indicate.

 ANSWER: POINTS: 1 QUESTION TYPE: Subjective Short Answer HAS VARIABLES: True OTHER: wcfm04.02.01.09 DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 5:59 AM

33. Find the solution of the given system.

If the equations of the system are redundant, or if a system is inconsistent, so indicate.

 ANSWER: redundant POINTS: 1 QUESTION TYPE: Subjective Short Answer HAS VARIABLES: True OTHER: wcfm04.02.01.11 DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 5/6/2016 6:02 AM

34. Find the intersection of the line through   and  and the line through  and .

If the equations of the system are redundant, or if a system is inconsistent, so indicate.

 ANSWER: POINTS: 1 QUESTION TYPE: Subjective Short Answer HAS VARIABLES: True OTHER: wcfm04.02.01.21 DATE CREATED: 2/10/2016 3:50 PM DATE MODIFIED: 10/26/2016 4:34 AM

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