ANSWER KEY: PRACTICE TEST on LINEAR PROGRAMMING 1. R, S 2. B, D 3. y < 2, y – 2x > -4 4. (a) y > x + 2, y > -x + 6, y < 6 (b) (i) (5, 7) (ii) (-1, 7) (c) -3 5.

6. (a) (b)

7. (a) x + y < 25, 50x + 80y < 1600 à 5x + 8y < 160,

x > 9, y > 9 (b)

(c) TOTAL PROFIT = 50x + 60y (d) 14 brown, 11 black 8. (a) (i) x + y > 20 (ii) y < 3x (iii) y > 2x (iv) 6x + 4y < 100 à 3x + 2y < 50 (c) (i) 22 youghurts (ii) $78.50

x x

x

x x

(b)

x x

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x