Use the simplex method to solve the linear programming problem.Maximizez = x1 + 2x2 + 4x3 + 6x4subject to:x1 + 2x2 + 3x3 + x4 ? 100 3x1 + x2 + 2x3 + x4 ? 75withx1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0
A. Maximum is 300 when x1 = 0, x2 = 0, x3 = 75, x4 = 0
B. Maximum is 150 when x1 = 0, x2 = 75, x3 = 0, x4 = 0
C. Maximum is 600 when x1 = 0, x2 = 0, x3 = 0, x4 = 100
D. Maximum is 450 when x1 = 0, x2 = 0, x3 = 0, x4 = 75
Answer: D
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Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = x2 + 2x - 3
A. vertex: (-1, 4)
axis of symmetry: x = -1
x-intercepts: 1 and - 3; y-intercept: 3
domain: (-?, ?); range: (-?, 4]
B. vertex: (-1, -4)
axis of symmetry: x = -1
x-intercepts: 1 and - 3; y-intercept: -3
domain: (-?, ?); range: [-4, ?]
C. vertex: (1, -4)
axis of symmetry: x = 1
x-intercepts: -1 and 3; y-intercept: -3
domain: (-?, ?); range: [-4, ?]
D. vertex: (1, 4)
axis of symmetry: x = 1
x-intercepts: -1 and 3; y-intercept: 3
domain: (-?, ?); range: (-?, 4]
Indicate whether the inequality is true or false.-5 ? -6
A. True B. False
Solve the problem.In a complete graph with 16 vertices (A through P), the total number of Hamilton circuits (including mirror-image circuits) that start at vertex A is
A. 16!. B. 14!. C. 15!. D. 17!. E. none of these
Provide an appropriate response.Determine the point elasticity ? of the demand equation (p + 1)
= 1000, when p = 24.
What will be an ideal response?