Applied Optimization for a trapezoid
A trough with trapezoidal cross sections is formed by turning up the edges of a 30 inch wide sheet of aluminum. Find the cross section of maximum area. (See Attachment for details)
Using Minimax Principle (Intermediate Eigenvalue)
Use the minimax principle to show that the intermediate eigenvalue {see attachment} is not positive. *Please see attachment for eigenvalue and hint on how to complete the question. Thanks for your help.
Use Laplace transforms to find solution of: y'' + 9y' + 18y = 36exp((-2)t) with y(0)=0 and y'(0)=1
The problem is in the attachment file. Thank you. Optimization The Sentry Lock Corporation manufactures a popular commercial security lock at plans in Macon, Louisville, Detroit, and Phoenix. The per unit cost of production at each plant is $35.5, $37.5, $39, and $36.25, respectively, while the annual production capaci ...continues
Optimize Test Sequence (Graduate Level)
An item is subjected to a series of n tests (example: hardness, weight, length, etc.). Two known constants are associated with carrying out the ith test in the series. The constants are Ki (the cost per item of carrying out the ith test) and Ri (the probability of rejecting the item based on the ith test). The tests are indepe ...continues
Research Works for Satellite Route Optimization.
I have researched on monotonic algorithm and genetic algorithm. I would like to know what other algorithms are used in the past for this problem. And what are the pros and cons of them? Why do we still need to find or develop new or hybrid algorithm for this problem? (See attachment for full background)
Nonlinear Programming (Excel Solver)
Please use EXCEL solver to set up and solve for the following problems. "Solver" can be found from "Tool" on the menu list. 1. Linear programming model Let x1,x2,...,x5 represent the numbers of PROD1, PROD2, ..., PROD5 Maximize profit function (see attachment) Subject to (see attachment) 2. Integer programming model Le ...continues
Given the following simplex tableau, complete the tableau and answer the following questions: X1 X2 X3 S1 S2 Basis Cb | 3 4 5 0 0 | ___________|___________________________|______ | 1/2 1 0 1/2 -1/2 | 6 ...continues
Linear programming using simplex method in tableau form
The following problem is something that needs to be put into tableau iterations, but I'm not understanding what to do next. Here is the problem: ______________________________________________________ Solve the following linear program by hand using the simplex method: Minimize 3 X1 + 4 X2 + 8 X3 Subject To: 4 X1 ...continues
Linear programming using simplex method in tableau form: Maximize 14 X1 + 14.5 X2 + 18 X3
Solve the following linear program by hand using the simplex method: Maximize 14 X1 + 14.5 X2 + 18 X3 Subject To: X1 + 2 X2 + 2.5 X3 <= 50 X1+ X2 + 1.5 X3 <=30 X1, X2, X3 >= 0 Show all tableau iterations a. What is the optimal solution? b. What ...continues
