Find the maximum value of the objective function and where it occurs, subject to the constraints:
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Objective function:
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z = 12x + 24y
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Constraints:
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x ? 0
y ? 0
x + 4y ? 20
x + y ? 18
?2x + 2y ? 21
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A. Maximum at (0, 5): 120
B. Maximum at : 164
C. No maximum
D. Maximum at : 126
E. Maximum at (0, 0): 0
Answer: B
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Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y, z) = xy - ln(z), P0(1, -2, 2)
A. (-4i - 2j + k)
B. (-4i + 2j - k)
C. (-4i + 2j - k)
D. (-4i + 2j - k)
Find the coordinates of the labeled points.
A. A(-5, 0); B(-1, -5) B. A(-5, 0); B(1, -5) C. A(-5, 5); B(1, -5) D. A(5, 0); B(1, -5)
Let A = {1, 3, 5, 7}, B = {5, 6, 7, 8}, C = {5, 8}, D = {2, 5, 8}, and U = {1, 2, 3, 4, 5, 6, 7, 8}. Decide if the set relationship is true or false.C ? A
A. True B. False
Answer the following questions about the given prism.
(a) Name the bases of the prism.
(b) Name the lateral faces of the prism.
(c) Name the faces that are hidden from view.
(d) Name the edges of the prism.
(e) Name the prism by type. Be as specific as possible.