1. Solve the following P.L. problems by the graphical method. If there are alternate optima, give allsolutions to the problem. In each part: color or mark the feasible region, draw the direction of increase ordecrease of the objective function, and graph three level curves.MinimizeSubject toz = 6x₁ - 9x2X₁ + 5x₂ ≥ 250X₁/4 + x₂/2 ≥ 50(-2/3)x₁+ X₂ ≤ 50X1, X₂ 20

The problem is stated as follows:Objective FunctionMinimize: Z = 6X1 − 9X2Subject to:Constraint 1:…

Answered: 1. Solve the following P.L. problems by…

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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(Your 1. Using Graphing Technology, find the x AND y-intercept(s) of y = 4x²+9 4x-x³ work/justification could include commands entered into your calculator, sketch of graph, and window dimensions.)
In the feasible area on a graph the following points are the vertices: (0,0), (0,5), (4,10), (10,12), (18,5) and (20,0). Determine the values of x and y such that the objective function 4x + 3y is maximized.
The graph to the right shows a region of feasible solutions. Use this region to find maximum and minimum values of the given objective functions, and the locations of these values on the graph. a. z = 3x + 5y b. z= 4x+3y C. Z=2x+4y d. z=x+3y a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum value of z= 3x + 5y is (Type integers or decimals.) B. The maximum does not exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The minimum value of z= 3x + 5y is at (). (Type integers or decimals.) OB. The minimum does not exist. an example Get more help - X at ivacy Policy | Copyright © 20ZZ Pearson Education Inc. All Rights Reserved. N P bp fio 13- ▶|| Clear all G Check answer prt sc E
Q2. Complete the following iteration tableau of Maximization problem of LPP and comment on the nature of the optimal solution. Basic variables XI Cbi X2 $2 Solution 51 $3 2 -1 30 XI X2 20 $2 gzi 1. 1,
ii) Find the vertex for the above equation and determine if it is maximum or minimum.
Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demands and selling prices for these two cameras are as follows. Ds = demand for the Sky Eagle Ps= selling price of the Sky Eagle DH = demand for the Horizon PH = selling price of the Horizon Revenue Ds = 223 - 0.60PS + 0.35PH DH= = 265 + 0.10Ps - 0.64PH The store wishes to determine the selling price that maximizes revenue for these two products. Develop the revenue function R (in terms of P and PH only) for these two models, and find the revenue maximizing prices (in dollars). (Round your answers to two decimal places.) Price for Sky Eagle Price for Horizon Optimal revenue R = Ps (223 -0.60P+ 0.35P₁ +PH (265 +0.10P - 0.64P н' Ps = $309.24 = $ 315.75 H R = $77244.46 xxx
In this question, you will work step-by-step through an optimization problem. Many airlines restrict the size of carry on item in terms of their combined length, width and height (L+W+H). I am due to fly on an airline that states "The sum of the length, the width and height of your item must be at most 50 inches". Suppose I want to take a box (cuboid) on my trip that will allow me to carry on as much as possible, and that I also want this box to have a square base. The questions we will answer using optimization are: What dimensions should the box have, and what would be the resulting maximum volume? If the base of the box is a square whose sides have length x, and the height of the box is h (both measured in inches), enter expressions for the volume of the box, V, and the sum of the length, width and height of the box in terms of x and h. V : Sum L+W+H : Since the sum of the length, width and height must be less than or equal to 50 inches, and it is clearly best to choose this…
Consider the following optimization problem: max x1 + 2x2 -x1 + x2 >= -4 x1 + x2 <= 15 - x1 + 3x2 <= 25 x2 >= 0 Graph the polyhedron corresponding to the set of feasible solutions of (P). Is the set of feasible solutions a polytope (bounded polyhedron)?
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