Solutions: Problem Solving with Systems

Solutions to Odd-Numbered Exercises

1. This means there is no realistic break-even point. By the time the company produces one unit they are already making profit.

3. They never turn a profit.

5. [latex]\left(1,250,100,000\right)[/latex]

7. The numbers are 7.5 and 20.5.

9. 24,000

11. 790 sophomores, 805 freshman

13. 56 men, 74 women

15. 10 gallons of 10% solution, 15 gallons of 60% solution

17. Swan Peak: $750,000, Riverside: $350,000

19. $12,500 in the first account, $10,500 in the second account.

21. High-tops: 45, Low-tops: 15

23. Infinitely many solutions. We need more information.

25. 70 grandparents, 140 parents, 190 children

27. Your share was $19.95, Sarah’s share was $40, and your other roommate’s share was $22.05.

29. There are infinitely many solutions; we need more information

31. 500 students, 225 children, and 450 adults

33. The BMW was $49,636, the Jeep was $42,636, and the Toyota was $47,727.

35. $400,000 in the account that pays 3% interest, $500,000 in the account that pays 4% interest, and $100,000 in the account that pays 2% interest.

37. The United States consumed 26.3%, Japan 7.1%, and China 6.4% of the world’s oil.

39. Saudi Arabia imported 16.8%, Canada imported 15.1%, and Mexico 15.0%

41. Birds were 19.3%, fish were 18.6%, and mammals were 17.1% of endangered species

43. Yes, 18, 38

45. Yes; 33, 36, 37

47. $7,000 in first account, $3,000 in second account.

49. 120 children, 1,080 adult

51. 4 gal yellow, 6 gal blue

53. 13 green tomatoes, 17 red tomatoes

55. Strawberries 18%, oranges 9%, kiwi 10%

57. 100 for movie 1, 230 for movie 2, 312 for movie 3

59. 20–29: 2,100, 30–39: 2,600, 40–49: 825

61. 300 almonds, 400 cranberries, 300 cashews