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Operation Research

5. Create a scatter chart (use the one with markers and smooth lines) showing how total inventory costs area function of the order quantity. Be sure to label your axes appropriately. (6pts)

A manufacturing operation must periodically purchase bulk quantities of bolts. The bolts are purchased inboxes of 500 and are consumed at a constant rate. The operation expects to purchase 28,000 boxes over the coming year. Each box costs $140, the annual holding cost per box is $21, and the cost of placing an order is $160 (regardless of the quantity ordered). For the following questions, use the basic economic order quantity model (without quantity discounts).

2. Calculate the annual inventory holding costs based on the average inventory level and annual holding cost per box. (2pts)

4. Create a data table showing the total inventory costs (only) for order quantities varying from 100 to 1050(use a step size of 50). You must use a data table structure to receive full credit for this problem. (8pts)

1. What is the economic order quantity (in boxes)? (2pts)

3. Calculate the annual inventory ordering costs based on the number of orders expected to be placed during the coming year. (2pts)

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Question 40776

Operation Research

Consider the following list of activities and predecessors.
a)Draw the network diagram. Write down the LP to determine the completion time. Write down the activities on the critical path.
b)Suppose that by hiring additional workers, the duration of each activity can be reduced. The costs per day of reducing the duration of the activities are given in the following table. Write down the LP to complete the project within 20 days with minimum cost.

Operation Research

9.5-3. The next diagram depicts a system of aqueducts that originate at three rivers (nodes RI, R2, and R3) and terminate at a major city (node T), where the other nodes are junction points in the system.
Using units of thousands of acre feet, the tables below the diagram show the maximum amount of water that can be pumped through each aqueduct per day.
The city water manager wants to determine a flow plan that will maximize the flow of water to the city.

Operation Research

Consider the following network:
Formulate an integer program to find the shortest path from node 1 to 5.

Operation Research

The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively.Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given in the table below. The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping cost?
a) Construct the transportation tableau
b) Is this a balanced transportation model? If not, convert it into a balanced model
c) Write the LP formulation for this problem.
d) Solve it with Excel or Lingo, write down the optimal solution on your answer sheet(values of the decision variables and the objective function ). Include your software model and output files

Operation Research

Question 1) Tom Cruise, Freddy Prinze Jr., Harrison Ford, and Matt Le Blanc are marooned on a desert island with Jennifer Aniston, Courtney Cox, Gwyneth Paltrow, and Julia Roberts. The"compatibility measures" in Table 2 indicate how much happiness each couple would experience if they spent all their time together. The happiness earned of time they spend together.a couple is proportional to the fraction
A)Formulate an LP whose solution will maximize the total happiness, considering x_ij as the fraction of time ih man spends with j™ woman.
b) Solve it with Lingo, did you find an integer solution? What do you think it means?

Operation Research

How to evaluate the quality of an OR model?

Operation Research

4. Give an example on possible application of OR modeling approaches in two of the following areas:
d. Construction industry
b. Machining process
C. Oil industry
a. Healthcare
e. Agriculture planning

Operation Research

3. What are some possible sources of data needed to derive parameters of OR models?

Operation Research

. In solving real world problems, when it is more appropriate to use mathematical modeling instead of qualitative methods? And why the Operations Research modeling approach could be more effective?

Operation Research

What do we mean by an Operations Research (OR) model? And what are the various elements of such model?