IV. Solve the given transportation problem by using the following method below.ToFromHSupplyPI1013200P21018135P3181315225Demand146163123128560a. Minimum Entry Method ( 10 Points)ToFromEGSupplyHPI13200P21018135P3181315225Demand146163123128S60Cost =b. Vogel's Approximation Method ( 15 Points)ToFromPIRowDřferenceGHSupply1013200P29.1018135P3181315225Demand146163123128560ColumnDifferenceCost=

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Answered: IV. Solve the given transportation…

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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Given the estimated linear modelŷ = 10 + 3x1 + 2x2 + 4x3a. Compute ŷ when x1 = 20, x2 = 11, and x3 = 10.b. Compute ŷ when x1 = 15, x2 = 14, and x3 = 20.c. Compute ŷ when x1 = 35, x2 = 19, and x3 = 25.d. Compute ŷ when x1 = 10, x2 = 17, and x3 = 30.
a. A company’s cost function for producing two components is given byC(x, y) = x2 + 2y2 − xyThe company wishes to minimize its cost given that2x + y ≥ 22 i. Calculate the minimized cost ii. How would the minimized cost change if the constraint was decreased to 20?
Consider a fuel distribution center located at the origin of the rectangular coordinate system (units in miles; see figures). The center supplies three factories with coordinates (4, 1), (5, 6), and (10, 3). A trunk line will run from the distribution center along the line y = mx, and feeder lines will run to the three factories. The objective is to find m such that the lengths of the feeder lines are minimized. Minimize the sum of the lengths of the perpendicular feeder lines from the trunk line to the factories given by as attached. Find the equation of the trunk line by this method and then determine the sum of the lengths of the feeder lines.
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs seven times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and z be the dimensions of the aquarium. Enter your answers in terms of V.) (x, y, z) = ()
The Sail-Sea is a boat manufacturer. The assembly location is available for production of 60 boats for 240 minutes per day. Given the information in the table, 1) Assign the tasks to workstations using the most follower method 2) What is the maximum theoretical capacity this line can achieve in 240 minutes
2. In submarine location problems, it is often important to find a submarine's closest point of approach to a sonobuoy (a sound detector). Suppose that a submarine travels along a parabolic path y = x² and the sonobuoy is at position (2, -0.5). It has been known that the value of a needed to minimize the distance between the submarine and the buoy must satisfy the following equation 1 1+x² 1 x= Use Newton's Method to find a solution to the equation x = 9 decimal places. 1 1+x² correct up to
I need the answer as soon as possible
Given a vector y e Rd and a scalar A > 0, consider the following optimization problem: min x-yll + 세제1. XER Please derive the optimal solution of x expressed in terms of y and A (you need to show detailed steps of derivation). Hint: consider each coordinate separately, and consider separately whem the optimal value is less than zero or larger than zero, and then derive a solution that covers both cases.
The table below shows the cost of transporting a unit item in the given routes; FROM/TO 1 2 3 4 SUPPLY 10 8 12 0 100 6 7 4 0 150 10 9 6 0 250 DEMAND 12080 200 100 A B a) A basic feasible solution is obtained using LCM as a11, x12, X23, 231, X33 , X34. Obtain the basic variables. T11= * 12 = 223 = 231 = T33 = 234 = b) A basic feasible solution is obtained using VAM as 11, *12, T23, X31, T 33 , X34. Obtain the basic variables. I14= 221 = 223 = T32 = 233 = c) Between the two solutions, which one has the least cost?

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