Define the decision variables be explicit and specific

Assignment Help Operation Management
Reference no: EM13780058

The Computer Services Department must decide how to allocate 21 new PC's. Three different departments have been designated to receive the PC's: the Production Department, Marketing Department, and Finance Department. Each department has requested as many PC's as they can get.

The Production Department can increase its productivity by 5% for each new PC it gets. The Marketing Department can increase its productivity by 3% for each new PC it gets. The Finance Department can increase its productivity by 2% for each new PC it gets.

All of the new PC's must be allocated, subject to the following constraints. The Production Department needs at most five PC's. Because of the company politics, the Finance Department must have no less than half as many new PC's as the Marketing Department. It also must have at least one third as many new PC's as the Production Department.

The problem is to allocate all the new PC's to the Production, Finance, and Marketing Department so as to maximize the total increase in productivity.

1. Define the decision variables. Be explicit and specific (including units).

2. In terms of the decision variables defined above, state mathematically the objective function.

3. In terms of the decision variables you defined above, state mathematically all the constraints of the situation described.

4. Is the problem you formulated mathematically in parts 1 through 3 inclusive above a linear program (LP) or not? If it is, explain why.

5. What special kind of LP problem is this?

Reference no: EM13780058

Questions Cloud

At threadless-customers design the product : Loyal customers are also loyal designers at Threadless, a fast-growing T-shirt company based in Chicago. The idea for Threadless grew out of Jake Nickell's hobby of creating digital designs for T-shirts. In 2000, after one of his designs won a contes..
How sexual and physical violence pertains to prison life : Discuss the principles of good prison leadership. What does it mean and were did it come from? Discuss how sexual and physical violence pertains to prison life
Anecdote of elena : Consider the anecdote of "Elena" in your text book. Obviously, Elena's mother prefers that her daughter participates in more feminine activities. What is your opinion? Do you think that young children should be guided toward gender specific toy..
Wrirte a five pages paper on banquet of antony and cleopatra : Wrirte a five pages paper about Banquet of Antony and Cleopatra, 1669.
Define the decision variables be explicit and specific : The Production Department can increase its productivity by 5% for each new PC it gets. The Marketing Department can increase its productivity by 3% for each new PC it gets. The Finance Department can increase its productivity by 2% for each new PC it..
Effective dap teaching strategies : Choose at least three (but no more than five) of these strategies and explain why they will work with a child in Piaget's Preoperational Stage.  Give examples of how you can foster each of your chosen strategies in the classroom/home and explain h..
What other information might you find useful to observe : You wish to analyze the pedestrian traffic that passes a given store in a major shopping center. You are interested in determining how many shoppers pass this store, and you would like to classify these shoppers on various relevant dimensions. What o..
Key competitors are offering for some common positions : Outline a research design using observation for each of the following situation? A human resource manager wants to know what salaries their key competitors are offering for some common positions.
Discuss the process for preparing a speech : Discuss the process (steps) for preparing a speech. What types of speeches are there? Why would we consider speech a discipline?

Reviews

Write a Review

 

Operation Management Questions & Answers

  How are these systems related to p&g business strategy

What management, organization, and technology issues had to be addressed when implementing Business Sufficiency, Business Sphere, and Decision Cockpits?

  Describe why legal disputes cant be resolved by simply

sources must be cited in apa format to include proper reference format. your response should be a minimum of one 1

  What implications may result for today''s managers

This week, we learn about how managers ignore the importance of a diverse workforce at the risk of reducing the performance level of the workplace. Consider the demographic trends of the United States and/or global workforce. What implications may..

  Benefits of conducting research

What steps in research process do you find most valuable? What are the benefits of the conducting research and analyzing sources?

  The accumulation of cash balances in excess

The accumulation of cash balances in excess of those ordinarily required for the short-term needs of working capital

  How many units were started into production

If 15,000 units were completed and transferred out of the process during the month, how many units were started into production during the month?

  What are the desirable and undesirable aspects

1) What are the desirable and undesirable aspects of this fragmentation? 2) Should actions be taken to slow or stop this trend? If so, what should be done and how can it be achieved?

  Formulate mixed integer programming model

Lauren Moore has sold her business for $500,000 and wants to invest in condominium units (which she intends to rent) and land (which she will lease to a farmer).

  Assignment on warehouse move project

Build the extra time into your schedule by doubling the installation work timelines for both the framing and drywall. Your project plan should also be updated with the new 3-week timeline for obtaining permits. Use the project plan you created for..

  Is the united states still productive

Is the United States still productive and/or competitive in manufacturing from a World Class standpoint? Please support and cite your answer.

  Free trade regime in the textile industry

From an economic perspective, was the shift to a free trade regime in the textile industry good for Bangladesh?

  Explain how firms conserve capital

Explain how firms conserve capital. Select a fictitious or real new venture and describe their alternatives for preserving capital. Identify at least five ideas for bootstrapping; describe how these save precious capital as compared to their alter..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd