Use the simplex method to solve the linear programming problem.Maximizez = 4x1 + 2x2subject to:2x1 + 3x2 ? 6 x1 + 3x2 ? 4 2x1 + 2x2 ? 8withx1 ? 0, x2 ? 0

A. Maximum is 8 when x1 = 0, x2 = 2
B. Maximum is 12 when x1 = 3, x2 = 0
C. Maximum is 16 when x1 = 4, x2 = 0
D. Maximum is 6 when x1 = 0, x2 = 3


Answer: B

Mathematics

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Sketch the surface z = f(x,y).f(x, y) = 4x2 + 4y2 + 2

A.

B.

C.

D.

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Answer each question appropriately.Suppose the area of the region between the graph of a positive continuous function f and the x-axis from x = a to x = b is 7 square units. Find the area between the curves y = f(x) and y = 5f(x).

A. -28 square units B. 35 square units C. 42 square units D. 28 square units

Mathematics

Determine if the type of relation is linear, nonlinear, or none.

A. nonlinear B. none C. linear

Mathematics

If a triangle has vertices of   and  then the area of the triangle is given by    Find the area of the triangle with vertices at the given points.(1, -3) (1, 1) (4, 3)

A. 6 B. 2.5 C. 12 D. 5

Mathematics