Operations Research & 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 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
Game Theory : Two Person Zero Sum Game
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
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. Then 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
Your firm is located in a 10-story building. Each floor has its own Xerox machine in a copy room. The firm owns these machines but must pay for paper, toner, and occasional maintenance. Each employee has a key that opens the copy room door on his or her floor only and does not have access to Xerox machines on other floors. B ...continues
Linear programming : Simplex Method
1. Use simplex method to find the answer Maximize z =3x1+4x2 Subject to x1+x2<=50 X1+x2 >=25 2x1+x2<=60 x1>=0 and x2>=0 2. Use simplex method to find the answer Minimize w =4y1 + 2y2 Subject to 3y1+y2>=22 y1+4y2 >=26 y1>=0 and y2>=0
Probability that a given patient is a smoker given that the patient has a serious illness
I'm trying to set up an excel spreadsheet to solve a statistical probability. Patients 23% (smokers) -18% have a chance of contracting a serious illness 77% (non smoker) - 6% have a chance of contracting a serious illness I'm trying to figure out the probability that a given patient is a smoker if the patient has a ser ...continues
The senate consist of 100 senators, 34 republicans and 66 democrats. thirty-five percent of democrats and 70 percent republicans favor a bill. the bill requires a simple majority. using a probability tree, determine the probability that the bill will pass.
