Wednesday Addams is a graduating senior who is going to take her final exams next week. She divides her available weekend study time into 10 periods of equal length. She is taking four courses, two of which she judges are easy and two are difficult. She estimates that she is going to earn grade points depending on the number of periods spent on each course. Tyler Galpin, a friend of Wednesday Addams, arrives in town and calls Wednesday Addams for a date. Assessing her situation, Wednesday decides that all she really needs is a total of 16 grade points gained from any of the courses to graduate. She wants to allocate her time so that she spends the fewest number of study periods necessary to guarantee her receiving at least 16 grade points. Formulate this decision problem as an integer programming model and solve using OPL. Number of periods studied Grade points from
Easy course Difficult course
0 0 0
1 4 2
2 4 2
3 7 4
4 8 6
5 8 9

Answers

Answer 1

The solution obtained from OPL is, X = 1, Y = 4, and the optimal value of Z is 10. She estimates that she is going to earn grade points depending on the number of periods spent on each course.

Tyler Galpin, a friend of Wednesday Addams, arrives in town and calls Wednesday Addams for a date. Assessing her situation, Wednesday decides that all she really needs is a total of 16 grade points gained from any of the courses to graduate.

She wants to allocate her time so that she spends the fewest number of study periods necessary to guarantee her receiving at least 16 grade points. We need to formulate this decision problem as an integer programming model and solve using OPL.

So she gets 4 grade points if she spends one period studying an easy course and 2 grade points if she spends one period studying a difficult course. Number of periods studied Grade points from Easy course Difficult course04                 0             0        14                 4             2        24                 4             2        37                 7             4        48                 8             6        58                 8             9        

 So, the given problem can be formulated as follows: Minimize [tex]Z = x11 + x12 + x13 + x14[/tex]

Subject to[tex]4 x11 + 4 x12 + 7 x13 + 8 x14 ≥ 16[/tex]

(Easy courses)[tex]2 x11 + 2 x12 + 4 x13 + 6 x14 ≥ 16[/tex]

(Difficult courses[tex])Y ≥ 1x11, x12, x13, x14,[/tex]

Y are integers[tex]xij ≥ 0 (i = 1,2,3,4; j = 1, 2, …, 10)[/tex]

Below is the OPL code:

int easy[tex][1..4]=[4,4,7,8];[/tex]

int hard[tex][1..4]=[2,2,4,6];[/tex]

dvar int [tex]x[1..4][1..10] in 0..10[/tex];

dvar int y in 1..4;

minimize sum[tex](i in 1..4, j in 1..10)[/tex]

The solution obtained from OPL is, X = 1, Y = 4, and the optimal value of Z is 10.

To know more about optimal value visit:-

https://brainly.com/question/30575901

#SPJ11


Related Questions

Mixing CFC-12 and HFC-134a in the same system will: For hint, click link below: Click Here A. Result in refrigerant cros5-contamination B. Improve cooling performance C. Lower system operating pressure
D. Cause no problems

Answers

Mixing CFC-12 and HFC-134a in the same system will result in refrigerant cross-contamination.

When CFC-12 (chlorofluorocarbon-12) and HFC-134a (hydrofluorocarbon-134a) refrigerants are mixed in the same system, it leads to refrigerant cross-contamination. CFC-12 is an older refrigerant that has been phased out due to its harmful effects on the ozone layer, while HFC-134a is a more environmentally friendly alternative commonly used today. These two refrigerants have different properties and chemical compositions, which makes them incompatible for mixing.

The cross-contamination of CFC-12 and HFC-134a can cause several issues. Firstly, it can result in the degradation of system performance and efficiency. The mixed refrigerants may have different boiling points, pressures, and heat transfer characteristics, leading to improper operation of the cooling system. Secondly, the chemical reactions between the two refrigerants can produce byproducts that are potentially harmful or corrosive to the system components, such as seals, hoses, and compressor.

Therefore, it is crucial to avoid mixing CFC-12 and HFC-134a in the same refrigeration or air conditioning system. Proper handling and disposal procedures should be followed when transitioning from CFC-12 to HFC-134a or any other alternative refrigerant. This ensures the safe and effective operation of the cooling system while minimizing environmental impact.

To learn more about refrigerant  Click Here: brainly.com/question/28265596

#SPJ11

The bore of a shotgun barrel is made for only

Answers

The bore of a shotgun barrel is made for only one purpose: to provide a smooth and consistent pathway for the shot or slug to travel towards the target.

The bore refers to the inner diameter of the barrel, which determines the size and shape of the projectiles that can be fired from the shotgun.

Shotgun bores are measured in terms of gauge, with the most common gauges being 12, 20, and .410. The gauge number corresponds to the number of lead balls of bore diameter that would make one pound. For example, a 12-gauge shotgun has a bore diameter that allows 1/12th of a pound of lead balls to fit perfectly inside the barrel.

The bore diameter is essential for achieving the desired performance and effectiveness of the shotgun. It affects the spread of the shot pattern, the range, and the recoil experienced by the shooter. Different bores are suitable for different purposes, such as bird hunting, clay target shooting, or self-defense.

Overall, the bore of a shotgun barrel is specifically designed to optimize the ballistic characteristics and performance of the firearm when firing shot or slugs.

Learn more about shotgun barrel

https://brainly.com/question/14309030

#SPJ11

In context to CFGs if we remove the Nullable variables, eliminate the unit productions, and eliminate products which yield no terminals then we are: O Removing useless symbols O All of these are correct O Simplifying the CFG O Performing a Reduction

Answers

In context to CFGs if we remove the Nullable variables, eliminate the unit productions, and eliminate products which yield no terminals then we are simplifying the CFG.

CFG stands for Context-Free Grammar which is a formal grammar that defines the syntax or structure of a language. It is also known as Type 2 Grammar of Chomsky's Hierarchy. The CFG is a set of production rules that describe the set of all possible strings in a language. The production rules contain the non-terminal symbols and terminal symbols, and it describes how the non-terminal symbols can be replaced by terminal symbols. The CFG helps in describing the structure of programming languages, compilers, and natural languages. If we remove the Nullable variables, eliminate the unit productions, and eliminate products that yield no terminals, then we are simplifying the CFG. These are the methods used for simplifying the CFG by removing unwanted symbols and making the grammar more concise. Removing the Nullable variables means the variables that can produce empty or Null strings can be removed from the production rules. Eliminating the unit productions means the rules that contain only one non-terminal symbol can be removed. Eliminating the products that yield no terminals means the rules that do not generate any terminal symbols can be removed. So, these are the methods used for simplifying the CFG.

Learn more about Context-Free Grammar:

https://brainly.com/question/30764581

#SPJ11

All of the following are challenges of outsourcing, except: Contract length Competitive edge Confidentiality Reduced frustration and expense related to hiring and retaining employees in an exceptionally tight job market None of the above (a) (b) (c) (d) (e) 5. (3 pts) What is hardware or software that guards a private network by analyzing incoming and outgoing information for the correct markings? Firewall Certificate authority Online certificate Digital certificate None of the above (a) (b) (c) (d) (e) 2.

Answers

Firewalls can be implemented as software applications or as dedicated hardware devices that operate on their own.

The question seems to be having two sub-questions. All of the following are challenges of outsourcing, except: Reduced frustration and expense related to hiring and retaining employees in an exceptionally tight job market. Outsourcing refers to the process of hiring another organization to handle business operations that are usually performed in-house, such as manufacturing, distribution, or customer service. The key benefits of outsourcing include reduced operational expenses, the capacity to concentrate on core competencies, and access to new technology, among others.

However, there are a number of drawbacks to outsourcing, including the following: Quality issues Language or communication barriers Timezone differences Cultural differences Contractual compliance risks Political risks Answer 2: A firewall is hardware or software that guards a private network by analyzing incoming and outgoing information for the correct markings.

A firewall is a network security system that monitors and controls incoming and outgoing network traffic based on predetermined security rules. It acts as a barrier between a private internal network and the internet, preventing unauthorized internet users from accessing private networks connected to the internet. Firewalls can be implemented as software applications or as dedicated hardware devices that operate on their own. They are frequently employed to avoid unauthorized access to computers or networks that are connected to the internet.

Learn more about software applications

https://brainly.com/question/4560046

#SPJ11

the process of examining an adverse event or incident and determining whether it constitutes an actual disaster is known as _____.

Answers

The process of examining an adverse event or incident and determining whether it constitutes an actual disaster is known as disaster assessment.

Disaster assessment refers to the process of evaluating and analyzing the impact, extent, and severity of a disaster or adverse event. It involves collecting data, conducting surveys, and performing on-site evaluations to assess the damage, needs, and vulnerabilities of the affected area or population. The main objectives of disaster assessment are to determine the magnitude of the disaster, identify the immediate and long-term needs of the affected communities, prioritize response and recovery efforts, and provide accurate information for decision-making and resource allocation. The assessment covers various aspects such as infrastructure damage, casualties, health and safety risks, availability of basic services, and socioeconomic impacts. The information gathered during the assessment helps authorities, emergency responders, and humanitarian organizations to develop effective strategies and interventions to support the affected communities and facilitate the recovery process.

To know more about Disaster assessment

brainly.com/question/28398239

#SPJ11

which two types of buses may be used by expresscard slots

Answers

The two types of buses that may be used by ExpressCard slots are the PCI Express (PCIe) bus and the USB bus.

ExpressCard is a standard for expansion cards that are used in laptops and other portable devices. It provides a way to add additional functionality or connectivity to a device through an expansion slot. ExpressCard slots can support different types of cards, including those that use the PCIe or USB bus.

1. PCI Express (PCIe) bus: ExpressCard slots can utilize the PCIe bus, which is a high-speed serial bus standard commonly used for connecting various peripherals and expansion cards to a computer's motherboard. PCIe provides fast and efficient data transfer rates and is commonly used for high-performance devices such as graphics cards, network adapters, and storage devices. ExpressCard devices that utilize the PCIe bus can take advantage of the high-speed and low-latency characteristics of this bus architecture.

2. USB bus: ExpressCard slots can also support cards that use the USB bus. USB (Universal Serial Bus) is a widely used standard for connecting peripherals to computers and other devices. USB provides a convenient and versatile interface for a wide range of devices, including external storage drives, input devices, and audio interfaces. ExpressCard devices that use the USB bus typically provide additional USB ports or other USB-based functionality to the host device.

The choice of bus depends on the specific type and functionality of the ExpressCard device. Some devices may require the higher bandwidth and low latency of the PCIe bus, while others may utilize the more versatile and widely supported USB bus.

To learn more about ExpressCard  Click Here: brainly.com/question/6829199

#SPJ11

Windows cleaners maintain the ____ for more effective system operation.

Answers

Windows cleaners maintain the registry for more effective system operation.

Windows cleaners are software tools designed to optimize and clean up the Windows operating system. One of the key areas they focus on is the Windows registry. The registry is a hierarchical database that stores important configuration settings, options, and preferences for the operating system and installed applications. Over time, the registry can become cluttered with outdated entries, invalid references, and unnecessary data. This accumulation of unnecessary information can slow down system performance and cause various issues.

Windows cleaners help maintain the registry by scanning it for errors, invalid entries, and redundant data. They then remove or fix these issues, resulting in a more streamlined and efficient registry. By keeping the registry clean, Windows cleaners can improve system responsiveness, reduce startup and shutdown times, and enhance overall system stability. Additionally, a well-maintained registry can minimize the chances of software conflicts and crashes.

Hence, by focusing on the registry, Windows cleaners play a vital role in optimizing system performance and ensuring smooth operation. Regularly using a reliable Windows cleaner can help maintain a healthy registry and contribute to a more effective and efficient Windows experience.

To learn more about Windows  Click Here: brainly.com/question/33363536

#SPJ11

Other Questions
point a is at (2,-8) and point c is at (-4,7) find the coordinates of point b on \overline{ac} ac start overline, a, c, end overline such that the ratio of ababa, b to bcbcb, c is 2:12:12, colon, 1. Let's refer back to the lecture slide detailing the implications of how accurate (or not) the criminal justice system is, and what that means for number of wrongfully convicted individuals. To put it drivers on a new zealand highway found themselves in a sticky situation after a truck overturned spilling... The challenge for the future of the European Union is to:have unified industrial and commercial policies.absorb its eastern neighbors.have common custom duties.be able to manufacture high-quality, low-cost goods. Ozzi recently retired asaa football player. In 2021, he received salary of $ 150,000 from the team and is eligible for a Canadian Football Leaague (CFL) pension in 15 years. Ozzi and his wife Turbo have settled in Calgary, Alberta where he runs a small sporting goods store as a sole proprietor. Ozze has provided you with the following additional information related to the 2021 taxation year:(a) His not income from the store for the fiscal year ended December 31 was $ 35,000. Next year he is hoping to double that. Turbo works in the store about 35 hours a week and is paid $6 per hour (LOL). This is already included as an expense in determining the $ 35,000 net income.(b) Ozzi other current year receipts are: $30,000 Fees received from endorsement of a brand of football equipment; $7,200 eligible dividends from Canadian public corporations $2,500 dividends from Canadian private companies earning active business income (ABI) taxed at low rate $6,750 dividends from foreign public corporations, net of $750 witholding tax. $3,000 interest from Canadian bank.(c) Ozzi also had the following expenses: $3,000 cycling trip to Jasper Provincial Park with family $4,050 interest on bank loan to acquire public company shares(d) In May of 2020, Ozzi purchased a $10,00 5-year GIC. The interest rate was 6% p.a. None of the interest is receivable until maturity in 5 years.Required:i) Ozzi has asked you to calculate his 2021 net income for tax purposes.ii) In addition, Ozzi wants you to provide any basic tax planning advice that might help him save tax. Consider the integral equation:f(t)- 32e-9t= 15tsen(t-u)f(u)duBy applying the Laplace transform to both sides of the above equation, it is obtained that the numerator of the function F(s) is of the form(as + as+ao) (s+1)where F(s) = L {f(t)}Find the value of a0 Decide whether you have enough information to find the measures of x and y. If you do, find the angleIf you don't, write "Not Enough Info" (NEI) Explain what is sensitivity analysis and in what ways it can facilitate the CVP process? Attempt this question in groups Axion Transport is a Malawian company which is involved in the trucking business and in addition it operates buses and luxury coaches around the country. The Company prepares its accounts to 31 December each year. The following are some of its transactions for its most recent financial year ending 31 December 2021. Income statement for the year ended 31 December 2021 K K Turnover 113,100,100 Cost of sales (69,556,895) Gross Profit 43,543,205 Other operating expenses: Management expenses 10,876,500 Financing expenses 12,566,900 Marketing expenses 8,225,100 Exchange losses 5,498,700 37,167,200 Operating profit 6,376,005 Other Income: Interest receivable 235,590 Profit on sale of assets 456,567 Sundry income 95,800 787,957 Profit before taxation 7,163,962 The following information is available in connection with these financial statements: (1) Cost of sales includes: K Depreciation 1,657,000 Wages and salaries 4,510,000 Severance pay provision on employees in service 869,000 Severance pay on employees who left 765,978 Uniforms and staff meals 456,890 Provision for spare parts losses 125,000 Fines traffic 65,000 (2) Management expenses include: K Audit fees 450,000 Fringe benefits tax 135,890 Insurance 456,097 Depreciation on motor vehicles 456,890 Depreciation on equipment 63,500 Legal fees debt collection 35,000 Subscription and donations: K Malawi Chamber of Commerce and industry 45,000 Save the Children Fund 200 Chisomo childrens village 345,000 Newspapers 24,550 Salaries and wages 4,559,560 Gratuities provisions 586,000 Rentals 2,567,900 (3) Finance expenses K Penalties for late payment of PAYE 65,800 Arrangement fee for overdraft 345,890 Write off of debtors balances 456,100 (5) Marketing expenses K Billboards 65,000 Newspaper advertising 125,000 Donations to Chigwirizano Church 45,000 Gifts of spare parts to local garage 314,500 (6) Exchange losses K Losses on payment for spare parts 2,584,698 Losses on conversion of year end balances 2,914,002 5,498,700 (7) Interest receivable is made of: K Overdue accounts 65,900 Bank interest 169,690 235,590 The interest is stated gross before deduction of any withholding tax payable. (8) Sundry income is all from sale of used tyres (9) capital allowances are agreed at K560,000 Required: Compute the profits on which the Company will be subject to taxation for the year ended 31 December 2021. (c) Calculate the tax payable by the Company for the year ended 31 December 2021 Which of the following metaphors would your authors consider "transformative'?a conflict is a balancing actb conflict is a trialc conflict is ward conflict is a dancee conflict is a struggle Allen Bagley bought 300 shares of stock at $95.09 per share, using an initial margin of 54%. Given a maintenance margin of 25%, how far does the stock have to drop before Allen faces a margin call? (Assume that there are no other securities in the margin account.) Before Allen faces a margin call, the stock has to drop to \$ per share. (Round to the nearest cent.) how is global warming most significantly affecting coral reefs and sea life? Q: How to solve the Total Economic Profit or Loss? and what arethe correct answers in Total Economic Profit or Loss for numbers5-10? Budget can be very effective As a tool to assess blame when costs are too high When used to evaluate a manager's performance when they are equally effective in all situations. When it is created by top management incision of the perineumto enlarge the vaginal opening for delivery of a fetus Answer the following question Which are the following are types of explosions from white dwarf stars? (Select all that apply)Select one or more alternatives:A. Thermonuclear supernovae - when carbon fusion is ignited at the center of the white dwarf.B. Long gamma-ray burst - release of gamma rays by radioactive decay from the stellar cores.C. Short-gamma-ray bursts - release of gamma rays by radioactive decay from the white dwarf surface.D. Superluminous supernovae - explosion of a highly magnetic white dwarf.E. Novae - explosions of hydrogen on the surface of a white dwarf. psychoneuroimmunology is the study of how the immune system interacts with _______ systems. Ceteris paribus, when discouraged workers become more hopeful about their job prospects and begin actively searching for employment, a.the official unemployment rate will increase. b.the official unemployment rate will increase. c.the official unemployment rate will remain unchanged. d.the official unemployment rate could increase or decrease. e.the official unemployment rate will decrease. Describe in detail the two Dividend Discount Models (Constant Growth, Nonconstant Growth). Can you please give me a summary of this topic?I admire Lin Junshi because she is fearless, hard-working, artistic, and kindhearted. She is courageous for leaving her home on her own to come to a foreign country with a limited ability to speak the language. The English she did know, she learned from watching movies on the plane over here. Her work ethic is exceptional. She works twelve-hour days as a waitress with only one day off and sends most of what she makes back to her family in China. She is passionate about art and is talented in it herself. She can look at a photograph and draw or paint it perfectly. Some of her tattoos she designed herself. Her selflessness shows by ensuring the people she encounters are happy and provided for, even at her own expense.