Notes, summaries, assignments, exams, and problems for Mathematics

Capital Intensity

Automation is a system, process, or piece of equipment that is self-acting and self-regulating. It substitutes labor-saving capital equipment and technology for labor. Automated manufacturing processes typically require high volumes, and costs are high. Fixed automation produces one type of part or product in a fixed sequence. Flexible automation can be changed to handle various products. Industrial robots and automated service processes.

Chapter 2 Process Analysis

DMAIC = Define, Measure, Analyze, Improve, and Control.

Process Analysis

A firm cannot gain competitive advantage with faulty processes! Processes can be analyzed and improved using certain tools and techniques. Process analysis is the documentation and detailed understanding... Continue reading "Process Analysis and Quality Management in Automation" »

Oxford University Business Course Inquiry

Dear Sir or Madam,

I am writing to request more information about your Business Course at Oxford University. I am very interested in this course and would love to apply for it at your prestigious university in 2020.

Academic and English Language Requirements

I am currently studying Administration in Spain. Firstly, I would like to inquire about the acceptance of this qualification: could you please indicate if my Spanish Administration qualification is among your accepted entry requirements? If so, I would be grateful if you could also specify the academic entry requirements for Spanish students at Oxford University.

Secondly, I would greatly appreciate some information regarding the English Language Requirements... Continue reading "Fiction Book Sales Performance: 2006-2010 Market Trends" »

Ok, Georgios, let's get down to business.

Good idea. So, shall we start by discussing the first aid training package?

Well, we already have some people with first aid training.

But we need some first aid courses for beginners. We also need refresher courses, where people return every year to improve their skills. So we'd like you to provide both beginner and refresher courses for our staff.

We can agree to that. What I propose is a package of a beginner course plus refresher courses for more experienced people.

That would be fine for us.

So these are the courses that we offer. You can see all the dates and the prices here.

Yes, I see. Tell me, Martina, what is your priority here?

It's essential that our factories follow the law. We want to have all... Continue reading "Health and Safety Training Package for Factories" »

Are you happy with your current situation?

Yes, but I'd like to take advantage of it much better.

Do you have any technical skills?

No, I'm too lazy to do that.

Effective Time Management Strategies

• Plan your day
• Prioritize important tasks
• Delegate to others where possible
• Try techniques such as time audits

Ineffective Time Management Habits

• Try to push yourself to the limit
• Waste time on unnecessary activities
• Blame others for your workload
• Miss breaks and rest periods

Improving Sentence Structure

Text:

• Probably find... would probably find
• know.. knew
• work..work
• probably get..will probably get
• make..would make
• offer..offered
• not take..don't take
• move..moved
• become..will become
• stop..stop

Using Conditional Sentences in Sports

We were awful. But if the hacker had taken... Continue reading "Effective Time Management and Workplace Communication" »

Assessment is one of the most important components of education as it provides evidence of students' learning outcomes and their growth over time. This process helps not only students but also teachers, families, and other stakeholders in many ways. For example, assessment is a tool to evaluate the effectiveness of teaching and teachers, and it can provide insight into program effectiveness for program developers. According to Brookhart and Nitko (2011), assessments are used to measure, evaluate, and document learning outcomes, proficiency, and educational needs.

Assessment can be formative or summative (Crooks, 2001). Formative assessments are used to monitor day-to-day learning of students, provide feedback to both teachers (i.e., about instructions)... Continue reading "Understanding Assessment Formats and Question Types" »

The Bayes’ theorem describes the probability of an event, based on conditions that Might be related to the event. Bayes’ theorem can also be calculated as the Joint probability divided by the marginal.
Bayes’ theorem deals with conditional probability.

????(????) ∗ ????(????|????) = ????(????) ∗ ????(????|????)

????(????|????)=P(A)P(B|A)/P(B)

????(????|????)=P(Ai)P(B|Ai)/ P(A1)P(B|A1)+ P(A2)P(B|A2)

????(????|????)=P(Ai ∩B) / P(A1∩B)+P(A2∩B)

-Discrete probab distrib(numb of students absent today, numb of books borrowed from library, number of head appering when a cons is tossed tre time)LIMITED

-Conitnous:liter of rain that occur in barcelona, the wheight of all population in spain )UNLIMITED.

Ejercicio Larry

Are indoeendent?

Not because

Fundamentals of Operations Research

Goal Programming Basics

Goal Programming aims to Minimize W, the weighted sum of deviations from the goals. The fundamental relationship is:

Level Achieved – Amount Over + Amount Under = Goal

Introduction to Queueing Theory

The basis of Queueing Theory is the trade-off between the cost of improving service and the costs associated with making customers wait. Queues arise when the short-term demand for service exceeds the capacity (i.e., arrival rates exceed the service rates).

Key Components of a Queueing System

• Calling Population: Refers to the pool of potential customers.
• Customer Behavior: Customers can be patient or impatient (those who leave the line before receiving service).
• Queue Capacity: Can be finite

1. Many business owners spend years trying to get their enterprise started.

2. At the rate we are going, we are lucky to break even at year's end.

3. The world's biggest stock exchange is in New York.

4. Every employee has shares in the company.

5. The stock market rose 20% today. Brokers were euphoric!

6. The dip in the market caused some investors concern.

7. There was a dramatic rise in the share price at the end of the week.

8. Dividend is the part of the company's profits which is paid to shareholders.

9. One of the most difficult parts of running a restaurant is keeping the cashflow which can be variable.

10. House prices have increased by 5%. It is too expensive to buy now.

11. Demand for this product has fallen recently. We won't manufacture... Continue reading "Understanding Business and Stock Market Terminology" »

Queueing Models

M/M/s: Exponential arrival and service with more than one server. These models are needed in the economic analysis of the system.

M/G/1: Exponential arrival with general service time.

M/D/1: Exponential arrival with deterministic (fixed) service time. Because of lower variability in service time, performance measures are better than M/M/1.

Queues with priority: Performance measures will improve for high-priority customers and worsen for low-priority customers. However, performance measures averaged across all customers (high AND low priority) will remain the same as before.

Distinguish between the number of servers and the number of queues:

1. An M/M/2 queue with two servers but a single queue of waiting customers.
2. Two M/M/1 queues where

Accounting Concepts: Real Value Recording

Cost Concept: To record the real value and not the estimated value.