Use graphical methods to solve the linear programming problem.Minimize z = 0.18x + 0.12y  subject to: 2x + 6y ? 30 4x + 2y ? 20 x ? 0 y ? 0

A. Minimum of 1.02 when x = 3 and y = 4
B. Minimum of 1.86 when x = 9 and y = 2
C. Minimum of 1.08 when x = 4 and y = 3
D. Minimum of 1.2 when x = 4 and y = 4


Answer: A

Mathematics

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Solve the problem.Evaluate  at (x, y, z) = (5, 3, 3) for the function u = p2 - q2 - r; p = xy, q = y2, r = xz.

A. 93 B. 27 C. 33 D. 87

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Consider a function . If the graph of  is above the horizontal axis, what can be said about the graph of  f? ?

A. The graph of f is above the horizontal axis. B. The graph of f is below the horizontal axis. C. The graph of f is increasing. D. The graph of f is a straight line.

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Evaluate using Table 1 or CAS.

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Solve the system of inequalities.3x + 3y ? 182x + 4y ? 24 x + y ? 2 x ? 0 y ? 0 

A.

B.

C.

D.

Mathematics