Use the simplex method to solve the linear programming problem.Maximizez = x1 + 3x2 + x3 + 2x4subject to:2x1 + x2 + 5x3 + 6x4 ? 25 5x1 + 3x2 + 4x3 + x4 ? 60withx1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0
A. Maximum is 50 when x1 = 0, x2 = 0, x3 = 0, x4 = 25
B. Maximum is 60 when x1 = 0, x2 = 20, x3 = 0, x4 = 0
C. Maximum is 75 when x1 = 0, x2 = 25, x3 = 0, x4 = 0
D. Maximum is 36 when x1 = 0, x2 = 10, x3 = 0, x4 = 3
Answer: B
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Perform the indicated operation.
A. -9 B. 9 C. 7 D. -7
Factor completely. If a polynomial cannot be factored, say it is prime.x2 - 3x - 28
A. (x + 7)(x + 4) B. (x + 7)(x + 1) C. prime D. (x - 7)(x + 4)
Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1. Zeros: -1, 1, - 3; degree 3
A. f(x) = x3 + 3x2 + x + 3 B. f(x) = x3 - 3x2 - x + 3 C. f(x) = x3 + 3x2 - x - 3 D. f(x) = x3 - 3x2 + x - 3
For f(x) = -x2 + 3x + 1 compute f(x + 1).
A. -x2 + 3x + 5 B. -x2 + 5x + 5 C. -x2 + 3x + 3 D. -x2 + x + 3 E. none of these