Operations Research : Shortest Path and Maximal Flow
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 ...continues
Operations Research : Mathematic Model of Sudoku
The Sudoku Game is played as follows. Enter digits from 1 to 9 into the blank spaces. Every row must contain one of each digit. So must every column, as must every 3x3 square. An example is shown below. Write the mathematic model for the game. [SuDOKU BOARD]
Operations Research : Curve Fitting and Line of Best Fit (See attached file)
1. A quantity y is known to depend upon another quantity x. A set of corresponding values has been collected for x and y and is presented in the Table below X 0.0 0.5 1.0 1.9 2.5 3.0 3.5 Y 1.0 0.9 0.7 2.0 2.4 3.2 2.0 a) Fit the best straight line y = bx + a to this set of data points. The objective is to minimize the s ...continues
Linear Programming : Constraints, Objective Function and Mimimizing Cost
Every January Santa tidies his workshop. Each toy in the workshop may be either stored for use next year, or taken apart and rebuilt next year, or thrown away and replaced next year. Storing a toy costs £1 and uses 8 units of storage space. Taking a toy apart and rebuilding it next year costs £3 and uses 2 units of storage sp ...continues
1. Compute the real GDP when provided the nominal GDP and an appropriate price index for a group of selected years. 2. Suppose an economy's real GDP is $30,000 in year 1 and $31,200 in year 2. What is the growth rate of its real GDP? Assume that population is 100 in year 1 and 102 in year 2. What is the growth rate of GDP pe ...continues
If the CPI was 110 last year and is 121 this year, what is this year’s rate of inflation? What is the “rule of 70”? How long would it take for the price level to double if inflation persisted at (a) 2, (b) 5, and (c) 10 percent per year?
Economics-Total and Average costs
A firm has fixed costs of $60 and variable costs as indicated in the table on the attached Excel spreadsheet. Complete the table and check the calculations. Total Product Total Fixed Cost Total Variable Cost 0 $0 1 ...continues
Operations supply management - learning curve
A time standard was set at 0.20 hour per unit based on the 50th unit produced. If the task has a 90% learning curve what would be the expected time of the 100th, 200th and 400th unit? Please give answer and explain.
In a time supply study at a producer of LCD televisions, a worker assembled 20 units in 100 minutes. The time study analyst rated the worker a performance of 110 percent. An allowance for personnel time and fatigue is 15 percent. What are the normal time and standard time?
Probability (Expected Value - Mouse in the Maze Problem)
Find problem is attached. Please explain each step Assume a mouse in the maze has three routes to choose from. The probability of taking the routes #1, 2, and 3 are 0.35, 0.4, and 0.25 respectively. The route #1 gets the mouse out in three hours; route #2 brings it back to the center after 2 hours, and route #3 brings the ...continues
