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Linear Programming : Optimization and Maximization

Joe has $250,000 to invest. He is considering four options" Bonds Fund Exxon MicroSoft Real Estate Fund Price per share $50 $100 $80 $40 Annual Rate of Return 0.06 0.12 0.08 0.09 Risk measure per $ invested 0.05 0.10 0.08 0.11 Joe wants at least a 9% annual rate of return No one stock can be mor

Constrained Optimization Problems

Solve the following constrained optimization problems: a) max x1,x2 x1^2 +x2^2 subject to.... b)..... Please see the attached file for the fully formatted problems.

Finding Maximum Profit

Let P(x) = 28x -x^2 be the profit from the manufacture and sale of x toys. What production level maximizes profit?

Optimization problem

Here is the word problem: A mass of clay of volume 432in^3 is formed into two cubes. What is the minimum possible total surface area of the two cubes? What is the maximum? I have determined the following: Surface Area (SA) = 6a^2 Volume of a cube (V) = a^3 I am not sure how to setup the formula to determine the asked fo

Optimization for Genetic Algorithms

This is reserve for a Specific OTA you can solve the problem using genetic algorithm(GA),but do you think you can get near the solution in the the "Result_2_Xugang" PDF file i sent.please describe why this algorithm good fro my case. I NEED THE WHOLE CODES PLEASEEEEEEEEEEEEEE. some test data is needed to see the benefi

Optimization Algorithm : Prony Series

1 Definition of a Prony Series Let GR(t) be the shear stress relaxation modulus. Define G1 and G0 by the following limits: ... From the shear relaxation modulus we can define a dimensionless relaxation modulus from: .... The normalized shear stress relaxation modulus is often represented by a series expansion in exponential

Optimization algorithm

Could you solve the following approach "in the 2nd page of the PDF file" using matlab. Let me know if you are interesting to solve this problem.i can pay anything you want.there is an Optimization involve in step #5 "you can use any Optimization method you know to solve it.I prefer the two-phase global optimization algorithm. i

If he uses the maximax criterion, which size bus will he purchase? If he uses the maximin criteria, which size bus would he purchase? If he uses Bayes' decision rule, which size bus would he purchase? What is the expected annual profit for the bus that he will decide to purchase using Bayes' decision rule?

The operations manager for a community bus company wants to decide whether he should purchase a small, medium, or large new bus for his company. He estimates that the annual profits (in $000) will vary depending upon whether passenger demand is low, medium, or high as follows: Bus Low Medium High Small

Recursive definitions

(See attached file for full problem description) --- Give a recursive definition of a) of the functions max and min so that mx{a1,a2,..an and min {a1,a2,...an} are the maximum and minimum of the n numbers a1,a2,...an respectively b) prove that f12+f22+..fn2 = fnfn+1 whenever n is a positive integer fn is the Fibonacci sequ

Quantitative Methods: Forecasting, Trends and Mean Square Error

Month 1993 January 1.45 February 1.80 March 2.03 April 1.99 May 2.32 June 2.20 July 2.13 August 2.43 September 1.90 October 2.13 November 2.56 December 4.16 Using the chart above I need to: a. Forecast the month of December using a moving average of 3. b. Calculate the Mean-Square Error (MSE).

Operations research

Photo-Max, a large photographic outlet, receives 5,000 collapsible tripods annually from Quality Photographic Suppliers to meet annual demand. The ordering cost is $15 per order, and the carrying cost is $0.50 per unit per year. Quality Photographic, building on its established reputation for on-time delivery, is interested in s

Forecasting with seasonal component

Quarterly billing for water usage is shown below. Yr. 1 Yr. 2 Yr. 3 Yr.4 Winter 64 66 68 73 Spring 103 103 104 120 Summer 152 160 162 176 Fall 73 72 78 88 Use the information abov


Explain what makes quantitative forecasting methods appropriate.

Linear Programming : Optimal Solutions

Ace Lumber and Building Supply in Andover, Maryland, has received the following order for standard 1x12 boards to be cut in three lengths Order for 1x12 Boards Length Quantity 7 ft 700 9 ft 1200 10 ft 300 The company maintains 1x12 boards in 25-foot standard-length in stock. Therefore,

Wave Equation: Finite String and Maximum Displacement

Q Ut4iOE) 3 A finite string of length L that is fixed at both ends and is released from rest with an initial displacement will have the following mathamatical description by the wave equation U =a^2 Uxx Given a = 30 m/s and the initial velocity of 300sin(4 pi x) from Its equilibrium position and L = 4m. find the solution for

Trends and Forecasting : Writing and Using Difference Equations

1. Consider a savings account started with an initial deposit of y(0) dollars. The interest rate is r percent per annum and the interest is compounded every month. The depositor is allowed to make additional deposits every month, say, u(1), u(2), u(3), and so on. Write a difference equation that will model the balance at the end

Complex : Maximum and Minimum Moduli

Find the maximum and the minimum moduli of the function on the set . (Upper half of the closed unit disc around the origin). Find all points where these maximum and minimum are attained. Please see the attached file for the fully formatted problems.

Maximum and Minimum theorem

Prove: A continuous mapping T of a compact subset M of a metric space X into assumes a maximum and a minimum at some points of M.


If a company has m hours of machine time and w hours of labor, it can produce 3m^(1/3)w^(2/3) units of a product. Currently, the company has 216 hours of machine time and 1,000 hours of labor. An extra hour of machine time costs $100, and an extra hour of labor costs $50. If the company has $100 to invest in purchasing addition

Fire department staffing schedule optimization

A fire dept. says that they must have full time firemen work on different days of the week. they must have 10 on mon, 11 on tues, 12 on wed, 13 on thurs, 14 on fri, 15 on sat and 16 on sun . each fireman must work 5 (any 5) consecutive days and then have two days off. but sometimes they can work one day a week OT. each fireman i

Transportation, Transshipment, and Assignment Problem

I need help trying to find the answer. I have tried about 20 different constraints and all of them are wrong. I don't know what I am doing wrong. Some of the constraints that I have tried are x4 + x6 = 175 and x6 + 0 = 175 just to give you an idea of the way that I am thinking. Evidently it is wrong. Please guide me in the

Determining Maximum Profit

Sue and Joan are making cloth pins for a craft show. They have enough fabric to make at most 40 giraffe pins and 80 frogs. They know they will be able to sell at least 20 giraffes and 60 frogs. However, they have time to make only a total of 110 pins. If their is $4.90 for each giraffe and $1.25 for each frog, what is their maxi