For each of the following problems, perform these steps:• Write the dual problem for the problem as written.Rewrite the problem in standard form.• Write the dual of the problem in standard form.• Explain why the two dual formulations are equivalent.Minimize z = 5x, + 2x2 + 6x3subject to4x1 +2x2 +xz 2 123x, + 2x2 + 3x, s6x, 2 0, x2 2 0.

Dual Problem for the given LPP: min z=5x1+2x2+5x34x1+2x2+x3≥12-3x1-2x2-3x3≥-6x1≥0,x2≥0max…

Answered: For each of the following problems,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The United States Postal Service ships a package under large-package rates if the sum of the Tength and the girth of the package is greater than 84 inches and less than or equal to 108 inches. The "length" of the package is considered to be the length of its longest side, and the "girth" of the package is the distance around the package perpendicular to its length. Fran wants to ship packages under the USPS large-package rates. Her package is a rectangular solid (see picture) whose length is 40 inches. What is the largest volume that her package can have?
Please answer as much as you can urgently!!!
Since all of the Ninjas are on the northern side of the park, Pawabawa will only use horizontal translations (moving left and right on the x- axis). Note the number next to each Ninja and complete the chart below. In some cases you may think there is more than one equation, but make sure you DON'T ZAP ANY KIDS! That'd be bad. (Use the cut out of his quadratic power to help) Ninja # 1 MISSION 2: HORIZONTAL TRANSLATIONS While he was shooting some hoops, Pawabawa hustled to see four Evil Ninjas in the park. From where he stands (he calls it the vertex) he zaps kinetic rays that follow a path of f(x) = x². 2 3 st Describe the shift in words 1 2 Where does he need to stand? (Ordered Pair) 61 3 otherwis & Equation to Program 4 Write a general equation to describe any horizontal translation of the quadratic function f(x) = x²: But wait! What's that?!? A gang of Angry Bandits have invaded the university's bioscience lab! Answer in 30min Clark Creative Education
A rectangle 20 m long and 2 m tall is to be cut twice perpendicularly to the base. The result will be three smaller rectangles R1, R2, and R3. If the dimensions of R1 and R3 must be the same, what dimension of Rj will maximise the product of the areas of R1 and R2?
The correct answer is C, but I don't understand how to do the work for this problem. Can you help me solve it?
Please help.

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