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For each problem, your responsibility is to formulate the decision environment as a mathematical model. You are not required to solve the problems! Simply write up the appropriate models. This, you should recall, will include complete descriptions of the decision variables, a statement of the objective function, and all relevant constraints. (Note that constraints are not to contain “IF” statements or multiplication or division of variables.) Your models should be written in a form that I can interpret, not one that is meant for Excel.
The town of Lytle must determine how to best deploy four new emergency medical services vehicles among five existing EMS locations. The new vehicles differ in their hardware, and thus differ in their ability to respond to emergencies. The table below gives a “coverage rating: for each pair of vehicle and EMS location. The “coverage rating” is a function of the capability of each vehicle and an estimate of the number of emergencies in the immediate area around each EMS location.
EMS Location
Vehicle A B C D E
1 12 8 10 6 2
2 6 6 4 8 9
3 10 10 8 4 1
4 12 10 12 10 14
It has been determined that no EMS location would get more than one of the new vehicles. Further, for space considerations, Vehicle 4 cannot be assigned to Location E. Also, Locations C and D cannot both get a new vehicle. Formulate this problem as a mathematical model with the goal of maximizing the “coverage” provided by the four new vehicles.
What were the most compelling topics learned in this course?What approaches could have yielded additional valuable information?
An analyst has timed a metal-cutting operation for 50 cycles. The average time per cycle was 10.7 minutes, and the standard deviation was 1.20 minutes for a worker with a performance rating of 133 percent. Assume an allowance of 15 percent of job tim..
How to develop the aggregate plan using your company forecast. What strategy should you decide to apply?
Under what conditions would a sample be preferable to a census? A census preferable to a sample?
Guthrie absconds with the funds. Frankie soon learns of Harbor Bay's identity. Can Frankie enforce the contract against Harbor Bay? against Guthrie?
use business process engineering tools such as total quality management (TQM) and Sigma Six quality programs to reduce defects?
A large clothing store offers a ‘no quibble’ return policy under which shoppers can return unwanted goods to the store and receive their money back. They have to take their unwanted goods to a returns desk where there is one server. What is the traff..
If at the beginning of the year we started with an empty warehouse what is the average annual setup cost for the dinnerware?
1. all forecasting methods using exponential smoothing adaptive smoothing and exponential smoothing including trend
Develop a historical analogy, time series and regression (seasonality and trend) forecasting models for mower unit sales data.
Several years ago, the Major League Baseball players' association went on strike in September, just before the World Series started. The players' contracts expired at the beginning of the season (May), but they held off the strike until September ..
In this scenario, what kind of gap could cause unsuccessful service delivery?
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