A-20 ANSWERS 33. x y 22 (0, 2) (0, 21) (3, 0) (4, 0) 22 x 2 3y # 3 x 1 2y $ 4 35. x y 2 4 6 x 1 2y $ 4 3x 2 y $ 26 22 24 26 2 24 (0, 6) (0, 2) (4, 0) (22, 0) 22 37. x y 2 22 2 4 22 24 4 (1, 1) x $ 1 y # 1 39. Maximum is 30 at (5, 0), minimum is 0 at (0, 0). 41. Maximum is 190 at (50, 30), minimum is 70 at (20, 10). 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). 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). 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 49. a) + < ≥ ≥ x y x y 500, 150, 150 b) 100 x y Chicken (calories) Rice (calories) 200 300 400 500 500 400 300 200 100 (0, 500) (150, 150) (500, 0) c) One example is (220, 220); approximately 3.7 oz of chicken, 8.8 oz of rice. 51. a) + ≤ ≥ ≤ ≥ x y x x y 20, 3, 6, 2 b) = + P x y 25 20 c) 8 x y 2 4 8 4 6 10 12 (6, 14) (3, 17) (3, 2) (6, 2) 16 14 18 2 d) (3, 17), (6, 14), (6, 2), (3, 2) e) Six skateboards and 14 pairs of in-line skates f) $430 53. a) + ≥ + ≥ ≥ ≥ x y x y x y 3 4 60, 10 5 100, 0, 0 b) = + C x y 28 33 c) 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 18 x y 20 (20, 0) (4, 12) (0, 20) d) (0, 20), (4, 12), (20, 0) e) 4 hours for Machine I and 12 hours for Machine II f) $508
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