Warm-up and Preparation BSNS5230, J. Wang Part One. Algebra and Business Calculation. Suppose that X, Y, Z are variables that may take any real values (including fractional and negative values) except indicated otherwise. Real Numbers and Calculations: 1. Calculate: 2 * (5 + 10) = _______________. 2. Calculate: 1 + 2 * 3 = ________________. 3. 5% = _________. a. 5 b. 0.5 c. 0.05 d. 0.005 4. –(–2) = _______. a. 2 b. –2 c. –4 d. 4 11. 1 * Y = _______. a. Y b. –Y c. 0 d. 1 12. 0 * X = _______. a. X b. –X c. 0 d. 1 1 1 2 3 a. True b. False 6. –3 > 2 a. True b. False 7. –3 > –2 a. True b. False 8. 5 + (–3) = 5 – 3. a. True b. False 5. e. 1 2 9. X–(Y–Z) = X–Y+Z a. True b. False 10. 1 = 100%. a. True b. False 1 13. 14. 0 ____ X a. X X ____ . 0 a. X for X 0 b. –X c. 0 d. 1 e. Doesn’t make sense b. –X c. 0 d. 1 e. Doesn’t make sense 15. X > –X. a. True b. False 16. X+1 > X. a. True b. False 17. 2X > X. a. True b. False Equations and Inequalities: 18. “X must be positive” can be represented by X>0. a. True b. False 19. If 3X=12, then X must be 4. a. True b. False 20. If X=1, then –X= ______ . a. 1 b. –1 c. 0 d. –2 21. If X>=2, then –X ___ –2. a. >= b. <= c. > d. < 22. If 23. If X 3 , then _____________. Y 2 a. 3Y=2X b. 3X=2Y c. X+3=Y+2 2 5 , then _____________. Y a. Y=10 b. 2=5Y c. 5=2Y 24. If X>=4Y, then ___________. a. X+4Y>=0 b. X–4Y>=0 c. X–4Y<=0 25. If X=0.4X+0.4Y, then _____________. a. 0.4X+0.4Y=0 b. 0.6X+0.4Y=0 c. 0.6X–0.4Y=0 d. X+4Y<=0 2 26. If X >= 4X–Y, then _____________. a. 3X+Y>=0 b. –3X+Y>=0 27. If X>Y, then X+Z ____ Y+Z. a. > b. < c. –3X–Y>=0 c. Neither a nor b. 28. If 2X–Y>=1, then –6X+3Y____3. a. > b. < c. Neither a nor b. 29. If 3X 1, then X=_______. 2X 1 a. 1 b. 2 c. 3 d. 4 e. –1 30. If 2X+3=0, then X=___________. 31. If 3X 1 , then X=___________. 2X 1 Revenue, Cost and Profit: 32. For a particular week, JQK Company had $8,000 of total revenue, with fixed cost $2,500 and total variable cost $3,500. What was the total profit of that week? 33. For a particular week, JQK Company had $8,000 of total profit and $5,000 of total cost (fixed plus variable cost). What was the total revenue of that week? 3 Part Two. Tell what each of the following subjects is about by using one short sentence. (1) Probability Theory (2) Statistics (3) Marketing (4) Operations Management (5) Finance (6) Accounting (7) Managerial Decision Analysis (Management Science) 4