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Problem 1:

We need to build up to 6 power plants (L1 to L6) to serve 7 communities (C1 to C7). The cost to build a power plant is 6.5 million (AED). The maximum capacity of each plant is 11 million watts. The demand of each community is given below:
Community 1 2 3 4 5 6 7
Demand in millions watt 3 4 6 4 5 2 4

The benefits (in \$/watt but sometimes it is a loss) from serving the community is given below:
Location C1 C2 C3 C4 C5 C6 C7

L1 4 4.5 2.5 1.5 3.5 4.2 -0.5
L2 4 4.5 2.5 0.5 1 0.5 -3.5
L3 3.5 5 4 1.5 4.5 3.5 0
L4 1.3 3 5 1.8 5.5 3.3 1.3
L5 0.5 1 1.5 5.5 4 5 3
L6 -1 0 1.5 4.5 4 3.3 2

Find which power plants should be built:

Problem 2:

``````    Company, which manufactures makes hockey sticks and chess sets. Each hockey stick yields an
incremental profit of \$5, and each chess set, \$5. ``````
• A hockey stick requires 6 hours of processing at Machine Center A and two hours at Machine Center B.
• A chess set requires 6 hours at Machine Center A, 8 hours at Machine Center B, and 2 hours at MachineCenter C.
• Machine Center A has a maximum of 60 hours of available capacity per day, Machine Center B has 36 hours, and Machine Center C has 10 hours. `If the company wishes to maximize profit, how many hockey sticks and chess sets should be produced per day?`

a) Formulate the linear programming model to determine the optimal solution

b) Use Excel solver to generate the sensitivity report and Interpret the sensitivity report.

c) Use Solvertable to investigate further the sensitivity due to change in profits (discuss)

Problem 3

One set (1000 data points each) is generated from unknown population (saved in excel)

a) Use Arena Arena Tools  Input Analyzer to see the best fit (present your finding in a tabular form) which distribution fits best (show your work).

b) Fill out the following table for each list and for each of the three distribution the Chi-square goodness of fit. Use the chi-square fit.
List
Class Class Interval Uniform Normal Exponential
Observed frequencies Expected Expected Expected
Class 1
Class 2
Class 3 ….
Class 20
Chi2
Df n-r-1
p_value
decision
, n: # of classes 20-0 =20. r: # of constraints (r=0)

Part B (Arena Simulation)

Description

You are to propose a system to simulate. Implement an Arena solution to your proposed system. The simulation may relate to an existing system or to some proposed modification of given system.
The system may relate to manufacturing, service, health, transportation, …

Requirements:

• Problem statement : detail the proposed idea
• Short Introduction and Background (half a page 200-300 words)
• Related literature (half a page or 200-300 words)
• Description of the Arena simulation model
• Simulation detail (Doe(s)) and the animation that comes with the model. (describe and discuss the statistics)
• Discuss of simulation results (how the simulation had helped in exploring the solution)
• Conclusion (half a page 200-300 words)
• References

Compelling correspondence is essential to the achievement all things considered but since of the changing idea of the present working environments, successful correspondence turns out to be more troublesome, and because of the numerous impediments that will permit beneficiaries to acknowledge the plan of the sender It is restricted. Misguided judgments.In spite of the fact that correspondence inside the association is rarely completely open, numerous straightforward arrangements can be executed to advance the effect of these hindrances.

Concerning specific contextual analysis, two significant correspondence standards, correspondence channel determination and commotion are self-evident. This course presents the standards of correspondence, the act of general correspondence, and different speculations to all the more likely comprehend the correspondence exchanges experienced in regular daily existence. The standards and practices that you learn in this course give the premise to additionally learning and correspondence.

This course starts with an outline of the correspondence cycle, the method of reasoning and hypothesis. In resulting modules of the course, we will look at explicit use of relational connections in close to home and expert life. These incorporate relational correspondence, bunch correspondence and dynamic, authoritative correspondence in the work environment or relational correspondence. Rule of Business Communication In request to make correspondence viable, it is important to follow a few rules and standards. Seven of them are fundamental and applicable, and these are clear, finished, brief, obliging, right, thought to be, concrete. These standards are frequently called 7C for business correspondence. The subtleties of these correspondence standards are examined underneath: Politeness Principle: When conveying, we should build up a cordial relationship with every individual who sends data to us.

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It is a unique cycle that oversees force, closeness and limits, cohesiveness and flexibility of route frameworks, and makes pictures, topics, stories, ceremonies, rules, jobs, making implications, making a feeling of family life An intelligent cycle that makes a model. This model has passed ages. Notwithstanding the view as a family and family automatic framework, one of the greatest exploration establishments in between family correspondence centers around a family correspondence model. Family correspondence model (FCP) hypothesis clarifies why families impart in their own specific manner dependent on one another ‘s psychological direction. Early FCP research established in media research is keen on how families handle broad communications data. Family correspondence was perceived as an exceptional scholastic exploration field by the National Communications Association in 1989. Family correspondence researchers were at first impacted by family research, social brain science, and relational hypothesis, before long built up the hypothesis and began research in a family framework zeroed in on a significant job. Until 2001, the primary issue of the Family Communication Research Journal, Family Communication Magazine, was given. Family correspondence is more than the field of correspondence analysts in the family. Examination on family correspondence is normally done by individuals in brain science, humanism, and family research, to give some examples models. However, as the popular family correspondence researcher Leslie Baxter stated, it is the focal point of this intelligent semantic creation measure making the grant of family correspondence special. In the field of in-home correspondence, correspondence is normally not founded on autonomous messages from one sender to one beneficiary, yet dependent on the dynamic interdependency of data shared among families It is conceptualized. The focal point of this methodology is on the shared trait of semantic development inside family frameworks. As such, producing doesn’t happen in vacuum, however it happens in a wide scope of ages and social exchange.

Standards are rules end up being followed when performing work to agree to a given objective. Hierarchical achievement relies significantly upon compelling correspondence. So as to successfully impart, it is important to follow a few standards and rules. Coming up next are rules to guarantee powerful correspondence: clearness: lucidity of data is a significant guideline of correspondence. For beneficiaries to know the message plainly, the messages ought to be sorted out in a basic language. To guarantee that beneficiaries can without much of a stretch comprehend the importance of the message, the sender needs to impart unmistakably and unhesitatingly so the beneficiary can plainly and unquestionably comprehend the data.>