Mathematics Homework Solutions

Operations Research and Linear Programming

I need help finding the constraints for this problem as well as solutions to part b and c. --- Wal-Mart, a discount store chain, is planning to build a new store in Rock Springs, Maryland.. The parcel of land the company owns is large enough to accommodate a store with 140,000 square feet of floor space. Based on marketing a ...continues

Cost Minimizing Work Schedule

Each hour from 10 am to 7pm, Bank One receives checks and must process them. Its goal is to process all the checks the same day they are received. The bank has 13 check processing machines, each of which can process up to 500 checks per hour. It takes one worker to operate each machine. Bank One hires both full time and part ...continues

Laplace transforms and Taylor series

(See attached file for full problem description)

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, ...continues

Using a Linear Programming Model to Minimize Cost

Carson Metals Company produces metal alloys from six different ores it mines. The ores and the metal content of each are described in the table below. The company has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of met ...continues

Operations Research

I need help solving this problem and also I need to know exactly what the constraints are for this problem and how to figure out the constraints. --- Burnside Marketing Research conducted a study for Baker Foods on some designs for a new dry cereal. Three attributes were found to be most influential in determining which cer ...continues

Operations Research

A mathematical programming system named SilverScreener uses a 0-1 integer programming model to help theater managers decide which movies to show on a weekly basis in a multiple-screen theater (Interfaces, May/June 2001). Suppose that management of Valley Cinemas would like to investigate the potential of using a similar scheduli ...continues

Vector problem

Each square n*n region of an image yields a vector of length n^2 such that the components of the vector are the grey levels of the pixels in the square. Let u, v be the vectors obtained from two image patches, let a be the average of the entries in u, let b be the average of the entries in V and let e be the vector of length n^ ...continues

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 ...continues

Operations research

Georgia Pacific offers the following discount schedule for its 4X8 ft. sheets of quality plywood. (see chart in attached file) Ace Lumber and Building Supply regularly stocks this product from Georgia pacific and has an annual demand of 1000 sheets. The carrying cost at Ace Lumber is 20% of product cost, and a cost of $45 ...continues

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