Mathematics Homework Solutions

Operations Research

The Eastside Manufacturing Company produces four different aircraft components from fabricated sheet metal for several major aircraft companies. The manufacturing process consists of four operations – stamping, assembly, finishing, and packaging. The processing time per unit for each of the operations and total available hours ...continues

Operations Research

Infocomp Systems is a research and development laboratory firm that develops computer systems and software primarily for the medical industry. The laboratory has proposals from its own researchers for eight new projects. Each of the proposed research projects requires limited resources and it is not possible to undertake all ...continues

Formulate a linear goal programming model to determine the percentage points of compliance needed in each category that will best satisfy the company’s goals.

The Barron Textile Mill in High Point, North Carolina was checked by inspectors enforcing the Occupational Safety and Health Act (OSHA). The inspectors found violations in four categories: hazardous materials, fire protection, hand-powered tools, and machine safety guards. In each category the mill was not in 100% compliance. ...continues

Wal-Mart, a discount store chain, has completed its new store in Rock Springs

Wal-Mart, a discount store chain, has completed its new store in Rock Springs, Maryland. The 150,000 square foot store operates seven days per week and requires the following number of full-time employees working each day of the week. Number of Employees Sunday 47 Monday 22 Tuesday ...continues

Operations Reaserch & Statistics

Standard Pump Corporation recently won a $14 million contract with the U.S. Navy to supply 2000 custom-designed submersible pumps over a period of four months. The contract calls for the delivery of 200 pumps at the end of May, 600 pumps at the end of June, 600 pumps at the end of July, and 600 pumps at the end of August. Standa ...continues

Multiple choice

Multiple choice problems in linear programming applications. (See attached file for full problem descriptions)

Two-Person Zero-Sum Game Problem

Need help setting up this 3X4 Matrix problem. I have only worked 2X2 matrix game problems per recent homework, however, I can't seem to leverage that knowledge for this problem. I'm also not sure how to deal with the extra reward variable (one point for capturing each of the other army's bn). Also need help setting up the LP for ...continues

Two Person Zero Sum

Two armies are advancing on two cities. The first army has 4 regiments and the second army has 3 regiments. At each city, the army that send more regiments to the city captures both the city and the opposing army regiment. If both armies send the same number of regiments to a city, them the battle at the city is a draw. Each ...continues

Deterministic Dynamic Programming - Obtain solution by working backward from the end of a problem toward the beginning

We have 21 coins and are told that one is heavier than any of the other coins. How many weighings on a balnce will it take to find the heaviest coin? (Hint: If the heaviest coin is in a group of three coins, we can find it in one weighing. Than work backward to two weighings, and so on).

Transportation Method: Andrew-Carter case

Andrew-Carter, Inc. (A-C), is a major Canadian producer and distributor of outdoor lighting fixtures. Its fixture is distributed throughout North America and has been in high demand for several years. The company operates three plants that manufacture the fixture and distribute it to five distribution centers (warehouses). Duri ...continues

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