ProblemFind the initial solution for the following transportation problem, by using1- North-west corner method Vogel method.2- Least cost method.3- Vogel method.4- Find the best method among them.SDS₁S₂S3S4S5Demand10134143D₁6020915712D₂60512715D32079019D410Supply102030405034

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Answered: Problem Find the initial solution for…

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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// + MI * 00 44 A Company produces three models of VCRS Model 1, Model 2, and Model 3, at two facilities, A and B. The company has orders for at least 6000 of Model 1, at least 1800 of Model 2, and at least 2400 of Model 3. The weekly production capacity of each model at each facility and the cost per week to operate each facility are given in the table below. For how many weeks should each facility operate to minimize the cost of filling the orders? A Model 1 Model 2 Model 3 Cost Per Week($) 009 009 000 000 The minimum possible cost of filling the orders is $ king Guide r Contents or Success Enter your answer in the answer box and then click Check Answer. for Success 2. 1 part remaining imedia Library Clear All Check Answer Ehase Options OK Type here to search 近 F8 PrtSc F11 F12 sup B. Alt Ctrl
F.26. Optimization. Consider the function z=x 2 +0.5 xy+ y 2 . Find the optimum value of z (that is maximum or minimum), subject to the constraint y=90−2 x. First do this by direct substitution, and then by setting the slope of the iso-z section equal to the slope of the constraint. Attempt to assess informally the shapes of the two surfaces, and discuss whether the optimum is a maximum or minimum of z.
Let us consider the case of LaRosa Machine Shop (LMS). LMS is studying where to locate its tool bin facility on the shop floor. The locations of the five production stations appear in the figure below. Y 5 3 Min 2 Fabrication 1 Station Paint Paint Subassembly 1 Fabrication (x, y) = Subassembly 1 Subassembly 2 Assembly Subassembly 2 2 1 4 1 3 X Y Demand 3 2.5 2 4 2 Assembly 5 4 4 11 25 12 6 16 X = horizontal location of the tool bin Y = vertical location of the tool bin 5 In an attempt to be fair to the workers in each of the production stations, management has decided to try to find the position of the tool bin that would minimize the sum of the distances from the tool bin to the five production stations. We define the following decision variables. 6 e We may measure the straight line distance from a station to the tool bin located at (X, Y) by using Euclidean (straight-line) distance. For example, the distance from fabrication located at the coordinates (1, 4) to the tool bin located…
Q2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours. the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution. Shaft(24 h) 1st 2ad 3rd 4th work time Min number of workers 7-11 AM 4. 11 АМ -1 PМ 1 PM -7 PM 7 PM- 11 PM 11 PM-3 AM 3 AM 7 AM 8. 3 22 10 6th
The oil company has three refineries located throughout the country with production capacity (120, 70 and 50) tons. Each day the company must supply its four customers with high purity gasoline with at least (60, 40, 30 and 110) tons. The transportation costs (in $) are given below. Obtain an initial basic feasible solution using Vogel's approximation model. Origin Destination A В 1 20 22 17 4 2 24 37 9. 7 3 32 37 20 15
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x, у) 3D 4x + 8y; х? + у2 = 20 maximum value minimum value
Topic: Differentiation of Functions of a Single Variable Solve the following COMPLETELY. 6. In Genshin Impact, the optimal crit rate x to crit damage y ratio can be obtained by maximizing the product xy under the constraint x + = c. Find the optimal crit rate and crit damage if 2 c = 100%.
PROBLEM No 21INTERPRET ALL THE RESULTS!!! A factory produces two types of products A and B. Their Cost of Production is given by the function: f ( x, y ) = f(x, y) =24*x2--10 x y + 20y2-1008* x -700* y + 30000 where x and y represent the quantities from each product. Find out the optimal plan for company!
Use a graphing calculator or a computer program for the simplex method to solve this linear programming problem. S1 $2 X4 .625 1 0 .5 .375 0 1 0 0 0 0 X1 0 0 1 X2 X3 0 .375 .75 .25 125 0 -105-80 -75 - 65 S3 = 0 530 0 630 1 280 0 0 The optimal solution X₁ = ‚ X₂ = ₁ ×3 = (Do not round until the final answer. Then round to the nearest integer as needed.) and X4 = produces the maximum value

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