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Optimization

Optimization Word Problems

1. A rectangular field is going to be enclosed and divided into two separate rectangular areas. (The areas do not have to be equal.) Find the minimum fencing that is required if the total area of the field is 1200 m2. 2. A closed cylindrical container needs to have a volume of 128pie dm3. Find the dimensions if the total are

Asymptotes and Maximum and Minimum Values

1.Determine the vertical asymptotes for the following function. Draw a sketch to show from which side the function approaches. y=__x2-49 x2+9x+20 2.Determine the horizontal asymptote for the following function. Draw a sketch to show whether the function is above or below the asymptote as x→∞. y=__8x2

Forecasting problem using Excel modules addin

11-19 Sales of Cool-Man air conditioners have grown steadily during the past five years, as shown in the following table. Year Sales 1 450 2 495 3 518 4 563 5 584 a) using exponential smoothing constants of 0.3, 0.6, and 0.9, develop forecasts for years 2 through 6. The sales manager had predicted, before the business

Forecasting model using Excel Modules addin

11-13 Data collected on the yearly demand for 50-pound bags of fertilizer at Wallace Garden Supply are shown in the following table: Year Bags (in thousands) Year Bags (in thousands) 1 4 7 7 2 6 8 9 3 4 9 12 4 5 10 14 5 10 11 15 6 8 a) develop two-year, three-year, and four-year moving averages to forecast demand

Forecasting problem using Excel Modules add in

Uses Excel Modules Addin to solve. Add in is attached 12-16 Barbara Bright is the purchasing agent for West Valve Company. West Valve sells industrial valves and fluid control devices. One of the most popular valves is the Western, which has an annual demand of 4,000 units. The cost of each valve is $90, and the inventory car

Dividend valuation model and wealth maximization

Eastern Telecom is trying to decide whether to increase its cash dividend immediately or use the funds to increase its future growth rate. It will use the dividend valuation model originally presented in Chapter 10 for purposes of The model was shown as Formula 10-9 and is reproduced below (with a slight addition in definition o

Dynamic Programming Problem

A company is planning its advertising strategy for next year for its three major products. Since the three products are quite different, each advertising effort will focus on a single product. In units of millions of dollars, a total of 6 is available for advertising next year, where the advertising expenditure for each product

Quantitative Methods

39. Max Z = $0.30x + $0.90y Subject to : 2x + 3.2y 160 4x + 2y 240 y 40 x, y Solve for the quantities of x and y which will maximize Z. What is the value of the slack variable associated with constraint 2? 40. The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Tw

Optimization and Minimizing Cost

A factory wants the power company to run a special line to the plant. The power company is located 1000 meters down a river on the opposite bank. Ground lines cost $20 per meter. The river is 500 meters wide and underwater line will cost M (M> 1) times as much per meter as the above ground line. Since the factory owns the riverf

What is the project's duration if only normal times are used?

Information concerning a project is given below. Indirect project costs amount to $250 per day. The company will incur a $100 per day penalty for each day the project lasts beyond day 14. a) What is the project's duration if only normal times are used? b) What is the minimum-cost schedule? c) What is the critical path for the

Finance : Income, Cash Flow, Balance Sheets, Forecasting and Sustainable Growth

2. During 1998, the Senbet Discount Tire Company had gross sales of $1 million. The frim's cost of googs sold and selling expenses were $300,000 and $200,000, respectively. These figures do not include depreciation. Senbelt also had notes payable of $1 million. These notes carried an interest rate of 10 percent. Depreciation was

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 algorithm

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

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

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.