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Optimization

Shortest Path and Maximal Flow Problem

Please see the attached file for the fully formatted problems. 1. Shortest Path and Maximal Flow Problem (30%): You are given the following directed network. [NETWORK] a. (Shortest Path Problem 15%) Let the numbers on the arcs represent distances and find the shortest path from node 1 to node 9. b. (Maximal Flow

Linear Programming: Optimization

See the attache file. A furniture manufacturer makes chairs and sofas. Each chair can be sold for a profit of £15 and each sofa for a profit of £5. It takes four hours to make a chair and five hours to make a sofa. The manufacturer has enough workers to provide 200 hours per week producing the furniture. Customer demand requi

Operatios Research: Linear Programming and Optimization

Please see the attached file for the fully formatted problem(s). Show all work, define all terms, and label all answers. Please do not simply writing down an answer without an explanation. 1. (20%) A company is planning its aggregate production schedule for the next three months. Units may be produced on regular time

Operations Research: Linear Programming for Optimization

2. Blending Problem (20%): Determine the optimal amounts of three ingredients to include in an animal feed mix. The final product must satisfy several nutrient requirements. The possible ingredients, the nutrient contents (as proportion of the ingredient), and the unit costs are shown in the table. The mixture must meet the foll

Profit Maximization - Transportation

Forbelt Corporation has a one-year contract to supply motors for all refrigerators produced by the IAC. ICA manufacures he refrigerators at 4 locations around the country: Boston, Dallas, Los Angeles and St. Paul. Plans call for the following number ( in thousands) of refrigerators to be produced at each location: Boston--50 D

Integer Programming

1. Integer Programming Problem Consider the following integer linear programming problem Max Z=3x1+2x2 Subject to: 3x1+5x2<=30 5X1+2x2<=28 x1<=8 x1,x2>=0 and integer The solution to the Linear programming relaxation is: x1 = 5.714, x2= 2.571. What is the Z value for the optimal solution under integer

Forecasting

Mathematics, topic: FORECASTING; from book Quantitative Methods. I need help for problem number 8. Please look at the attachment; I will need help for problem 8; in Chapter 15. (you will see the problem on two different file, file 1 and file 2, I also add some example on file 3). The second problem is on page 706, and I need he

Optimization - The Department of the Navy has been downsizing and is looking for cost savings opportunities to meet mandated congressional budget cuts. One suggestion under consideration is to change the make up of content of Navy sea rations, the canned food supplies containing certain minimum quantities of Vitamin A, Vitamin D, iron, and other nutrients, which combat troops carry into battle. ...

The Department of the Navy has been downsizing and is looking for cost savings opportunities to meet mandated congressional budget cuts. One suggestion under consideration is to change the make up of content of Navy sea rations, the canned food supplies containing certain minimum quantities of Vitamin A, Vitamin D, iron, and

Quantitative Methods - We manufacture refrigerators in Nashville, TN.

This is one problem. I need to know if the question is an accounting, break-even analysis, or simulation problem and why or why not. Please answer all the questions. We manufacture refrigerators in Nashville, TN. The petroleum crisis has raised the price of gasoline to $3.75 for regular and diesel to $4.35 per gallon. I

QUANTITATIVE METHODS: Forecasting

Show all work, where appropriate in using Excel (no version higher than 2003), PLEASE INCLUDE ALL FORMULARS IN CELLS WHERE CALCULATIONS ARE MADE. Recent past demand for product ZXT is given in the following table: Month Actual Demand February 20 March 22 April 33 May 35

Practice on Maximum and Minimum, Profit maximization

10 practice questions on Maximum and Minimum values (2) Find the absolute maximum value and the absolute minimum value, if any, of the following function. (If an absolute maximum/minimum does not exist, enter NONE in that blank.) g(x) = -x^2 + 2x + 10 (6) Lynbrook West, an apartment complex, has 100 two-bedroom units. The mo

Find the optimal order quantity

The Super Discount store (open 24 hours a day, every day) sells 8-packs of paper towels, at the rate of approximately 420 packs per week. Because the towels are so bulky, the annual cost to carry them in inventory is estimated at $.50 per pack. The cost to place an order for more is $20 and it takes four days for an order to arr

The nuclear plant currently has 350 fully trained workers. They need to know how many worker are need to be trained for the remainder if the year. 1. Formulate this staffing problem using LP. 2. Solve the problem. How many trainees must begin each month? 3. Submit the problem in Excel Solver.

Dear OTA, Please provide me a solution with detailed explanation. Thanks The nuclear plant currently has 350 fully trained workers. They need to know how many worker are need to be trained for the remainder if the year. Month Personnel Hours Needed August 40,000 September 45,000 October 35,000 November 50,000 D

Find dimensions of maximum volume of suitcase

An international airline has a regulation that each passenger can carry a suitcase having the sum of its width, length and height less than or equal to 135 cm. Find the dimensions of the suitcase of maximum volume that a passenger may carry under this regulation.

Optimal Call Box Locations

Cumberland University is siting emergency callboxes on the campus to increase the safety for their students. The have determined that there are 7 areas that need coverage and 7 potential locations for the call boxes. (see below) Note that any call box location actually covers more than one area. Find the minimum numbe

Maximum Volume of a Right Circular Cylinder

What is the maximum possible volume of a right circular cylinder with a total surface area (including the top and the bottom)? 600 pi in^2 Find the exact coordinates of the inflection points and critical points of the function (Figure 15.1) on the interval (-10, 10) f(x)= 2x^3+ 3x^2- 180x+ 150 Find dx/dt given

Quantitative Methods : Moving Averages, Exponential Smoothing and Forecasting

1. The Snyder company percentages of all shipments that were received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84 and 83... A. Compare a 3-month moving-averages forecast with an exponential smoothing forecast for a = 0.2 Which provides a better forecast? Part B. What is the forec

Dynamic Programming : Reliability of Components

An electronic device consists of 3 main components arranged in series so that the failure of one component causes the failure of the whole device. The reliability of the device can be improved by having up to, 2 standby units in parallel for each component. The total capital available for the design is £10,000. The reliability

Maximum Revenue

Please see attached file for full problem description. The revenue derived from the production of x units of a particular commodity is million dollars. What level of production results in maximum revenue? What is the maximum revenue? a. a. Maximum at x = 8 and maximum revenue is R(8) = 32 (million dollars) b. b. Maxi

Description of Maxima and Minima

1. For the function sketched in the left figure, find (a) absolute maxima, (b) absolute minima, (c) the absolute maximum value, (d) the absolute minimum value. 2. For the function sketched in the left figure, find (a) value for which, (b) values for which does not exist, (c) values at which is not continuous, (d

Modeling and Optimization : Staffing Levels

Scheduling staff. You are the director of the Computer Center for Gaillard College and rewponsible for scheduling the staffing of the center, which is open from *a.m. until midnight. You have monitored the usage of the center at various times of the day and determined that the following number of computer consultants are req

Non linear Optimization

Ordering fuel. Three liquid fuels are stored in tanks for use in a blending process. Each fuel is characterized by a demand rate, a fixed replenishment cost, and a unit cost. Inventory carrying costs are assessed at the rate of 12 percent per year. In order to save money on insurance rates, the operating policy is to limit