The maximum and the minimum values of the function f(x, y, z) = x + 2y + 2z subject to the constraint g(x, y, z) f(b, 2, c) = 9 and f(-1,a,–2) = d, respectively. Which of the following is true for the constants a, b, c and d? = x? + y? +2? – 9 = 0 are (a) a = -2, b = -1, c = 2, d = -9 (b) a = -2, b = 1, c = -2, d = -9 (c) a = -2, b = 1, c = 2, d = 9 (d) a = -2, b= 1, c = 1, d = -9 (e) a = -2, b = 1, c = 2, d = -9

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