Reference no: EM131124388
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).
a. In terms of the decision variables defined above, state mathematically the objective function.
b. In terms of the decision variables you defined above, state mathematically all the constraints of the situation described.
c. Is the problem you formulated mathematically, inclusive, above a linear program (LP) or not? If it is, explain why.
d. What special kind of LP problem is this?
|
What is average number of boats-will be waiting for service
: The manager of the fore and aft marine in problem 16 wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. assume the arrival rate is 5 boats per hour and that the serv..
|
|
Direct conflict management approach of accommodation
: Smoothing is another label for the direct conflict management approach of accommodation. The central premise of the decision-making model developed by Vroom, Yetton, and Jago is that __________. What decision making concept is reflected in the popula..
|
|
Enable company to gain and sustain competitive advantage
: Please complete an executive summary to proctor and gambles CEO using 1000 words in which you provide recommendations that will enable the company to gain and sustain a competitive advantage in its industry.
|
|
Estimate for potential customer service contract
: As the estimator for Rajendra Tibrewala Enterprises, your job is to prepare an estimate for a potential customer service contract. The contract is for the service to diesel locomotice cyclinder heads. The shop has done some of these in the past on a ..
|
|
Define decision variables-mathematically objective function
: 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. Define the decision variables. Is..
|
|
One of the commonly held myths about affirmative action
: One of the commonly held myths about affirmative action is that it is:
|
|
Explain why and give hypothetical
: Explain why and give a hypothetical or real example from your own experience. In your opinion, how does Twitter’s plan, as described in the article, put behavioral ad targeting to work? Do you believe this will be effective? Why do you feel this is e..
|
|
Calculate what thirteen additional planes should cost
: Suad Alwan, the purchasing agent for Dubai Airlines, has found that the third plane it needed from a Brazilian manufacturer took that firm 20,000 hours to produce. Using an 75% learning curve and a $40 per hour labor charge, Suad wishes to calculate ..
|
|
In light of the opinion in the texas gulf sulphur case
: Relatively recently, the SEC officially allowed corporations to convey information via social media such as Twitter and Facebook. In light of the opinion in the Texas Gulf Sulphur case, comment on the SEC determination and its impact, if any, on conc..
|