A-18 ANSWERS 37. x y 2 22 2 4 22 24 4 (1, 1) x $ 1 y # 1 38. x y 2 4 6 22 22 24 26 2 4 6 24 26 x # 0 y # 0 (0, 0) 47. a) x y 2 4 6 8 6 8 1, (3, 4) 2 (1, 8) 16 3 10 b) Maximum is 15.4 at (1, 8); minimum is 11 at ⎛ ⎝⎜ ⎞ ⎠⎟ 1, 16 3 . 48. a) x y 2 4 6 8 12 14 4 6 (2, 6) (10, 2) (10, 1) 2, 7– 2 24 , 7 –– 1 8 2 b) Maximum is 170 at (10, 2); minimum is approximately 61.22 at ⎛ ⎝⎜ ⎞ ⎠⎟ 24 7 , 1 . 49. b) 100 x y Chicken (calories) Rice (calories) 200 300 400 500 500 400 300 200 100 (0, 500) (150, 150) (500, 0) 50. b) A S 10 20 60 50 40 30 Samsung Tablets 10 30 (30, 15) (10, 5) (0, 0) 40 20 Apple Tablets (36 , 5) 2 3 51. c) 8 x y 2 4 8 4 6 10 12 (6, 14) (3, 17) (3, 2) (6, 2) 16 14 18 2 43. a) 2 6 2 4 6 8 x y (4, 0) (0, 0) (3, 2) (0, 5) b) Maximum is 18 at (3, 2); minimum is 0 at (0, 0). 44. a) 2 8 2 4 6 8 x y (4, 0) (0, 0) (0, 3) (3 , ) 3 2 b) Maximum is 18 at (0, 3); minimum is 0 at (0, 0). 45. a) 2 6 4 6 x y (4, 0) (0, 0) (3, 1) (0, 2) b) Maximum is 28 at (4, 0); minimum is 0 at (0, 0). 46. a) 40 x y (0, 0) 20 40 80 (50, 0) (30, 20) (0, 30) b) Maximum is 1400 at (30, 20); minimum is 0 at (0, 0).
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