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MTH101_Final_PracticeFallS008_3

# MTH101_Final_PracticeFallS008_3 - Department of Mathematics...

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Department of Mathematics and Statistics American University of Sharjah Final Exam - Fall 2007 MTH 101 – Mathematics for Business I Date: December 27, 2007 Time: 5:00-7:00 pm Instructor Names: Dr. Ayman Badawi ± Dr. Elias Zikkos ± Dr. Guillaume Leduc ± Dr. Pany Senevirante ± Dr. Yusuf Abumuhanna ± Student Name: ______________________ Student ID Number: __________ Time of the Lecture: ______ 1. Do not open this exam until you are told to begin. 2. No Questions are allowed during the examination. 3. This exam has 18 questions. 4. Do not separate the pages of the exam. 5. Scientific calculator are allowed but cannot be shared. Graphing Calculators are not allowed. 6. Turn off all cell phones and remove all headphones. 7. Take off your cap. 8. No communication of any kind. Student signature: _________________________________

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Part I 1 . (5 points) A small company manufactures portable home computers. Its cost and revenue functions are: Cost C x 5000 1,500 x Revenue R x 2,000 x where x is the total number of computers produced and sold each month, and the monthly costs and revenue are in dollars. Find the Break Even Point(s). 2 . (5 points) A larger company also manufactures portable home computers. Its cost and revenue functions are: Cost C x 10,000 500 x Revenue R x x 2000 50 x where x is in thousands of computers, and the costs and revenue are in thousands of dollars. Find the interval on the x -axis corresponding to a profit.
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