MATH 106 Finite Mathematics 2178-OL1-6380-V1 MATH 106 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Collaboration or consultation with others is NOT allowed. Use of instructors' solutions manuals and/or online problem solving services is NOT allowed. Record your answers and work on the separate answer sheet provided. There are 25 problems. Problems #1-12 are Multiple Choice. Problems #13-15 are Short Answer. (Work not required to be shown) Problems #16-25 are Short Answer with work required to be shown. MULTIPLE CHOICE 1. The Polk family purchases a home for $225,000, make a down payment of 20%, and finances the rest with a 30-year fixed-rate mortgage at an annual interest rate of 3.9% compounded monthly. What is the amount of their monthly mortgage payment? 1. _______ A. $1085.00 C. $848.97 B. $1061.25 D. $849.00 2. Customers shopping at a particular supermarket spend a mean time shopping of 33 minutes, with a standard deviation of 9 minutes. Assuming a normal distribution, what is the probability that a randomly chosen customer will spend between 15 and 51 minutes shopping in the supermarket? 2. ______ A. 0.3413 C. 0.6826 B. 0.9544 D. 0.7580 3. The Tralfaz appliance company manufactures small electric grills. The company has production costs defined as () = 9.15 + 27200 where x is the number of grills made each month. Revenue is defined as () = 21.95 where x is the number of grills sold each month. How many grills must be sold each month for this manufacturing process to break even? 3. ________ A. 875 B. 1240 C. 2125 D. 2973 Page 1 of 9 MATH 106 Finite Mathematics 2178-OL1-6380-V1 4. Find the values of x and y that maximize the objective function P = 9x + 5y for the feasible region shown below. A. ( 3 , 0 ) 4. _______ B. ( 1 , 2 ) C. ( 2 , 0 ) D. ( 0 , 3 ) 5. In the dice game \"Yahtzee\