Solve the linear programming problem in Problems 45-48 by applying the simplex method to the dual problem. Minimize C = 6 x 1 + 8 x 2 + 12 x 3 subject to x 1 + 3 x 2 + 3 x 3 ≥ 6 x 1 + 5 x 2 + 5 x 3 ≥ 4 2 x 1 + 2 x 2 + 3 x 3 ≥ 8 x 1 , x 2 , x 3 ≥ 0
Solve the linear programming problem in Problems 45-48 by applying the simplex method to the dual problem. Minimize C = 6 x 1 + 8 x 2 + 12 x 3 subject to x 1 + 3 x 2 + 3 x 3 ≥ 6 x 1 + 5 x 2 + 5 x 3 ≥ 4 2 x 1 + 2 x 2 + 3 x 3 ≥ 8 x 1 , x 2 , x 3 ≥ 0
Solution Summary: The author explains how to calculate the solution of the minimization problem by first determining the dual form.
3. Construct a triangle in the Poincare plane with all sides equal to ln(2). (Hint: Use the fact that, the circle with center (0,a) and radius ln(r), r>1 in the Poincaré plane is equal to the point set { (x,y) : x^2+(y-1/2(r+1/r)a)^2=1/4(r-1/r)^2a^2 }
n. g. = neutral geometry
<ABC = angle ABC
\leq = less or equal than
sqrt{x} = square root of x
cLr = the line in the Poincaré plane defined by the equation (x-c)^2+y^2=r^2
1. Find the bisector of the angle <ABC in the Poincaré plane, where A=(0,5), B=(0,3) and C=(2,\sqrt{21})
Task:
2 Multivariable Calculus: Divergence Theorem
Refer to Question 42 in the provided document.
Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing
Elementary Statistics: Picturing the World (7th Edition)
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