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MUST SHOW ALL WORK. CANNOT USE COMPUTER SOFTWARE FOR GRAPHS
1. (a) Define the slack and surplus variables. What do they represent? What is (are) the difference(s) between a slack and a surplus variable?
(b) Briefly describe the important parts of each step needed to make a decision using decision sciences models.
(c) What are the different types of special situations that may occur while solving a linear programming problem? Briefly describe each of these special situations.
(d) What are the important properties of a straight line? Briefly describe each property. What are the different types of slopes possible for a straight line? Briefly describe each type of slope and give one example for each type.
2. Given the following linear programming problem
Maximize 20x + 15y
Subject to
2x + 2y < 100
2x + 3y < 120
x > 10
x, y > 0
(a) Graph the constraints.
(b) Find the coordinates of each corner point of the feasible region
(c) Determine the optimal solution.
3. Given that the optimal solution of the following linear programming problem is x = 10 and y = 10, state the problem in standard form and do a constraint analysis for the optimal solution.
Maximize 100x + 80y
Subject to
5x + 2y ≤ 80
3x + 5y ≥ 60
x + y ≤ 20
x ≤ 10
x, y > 0
4. A company manufactures two kinds of pinball machines, each requiring a different manufacturing technique. Each Super Ball machine requires 25 hours of labor, 8 hours of testing, and yields a profit of $350. Each Silver Ball machine requires 12.5 hours of labor, 8.5 hours of testing, and yields a profit of $200. There are 2500 hours of labor and 1200 hours of testing available.
The company has made contracts with the retailers to provide at least 60 Super Ball machines and at least 58 Silver Ball machines. The company wants to manufacture at most a combined total of 135 of Super Ball and Silver Ball machines.
How many of each kind of pinball machines the company should manufacture to maximize the total profit?
Formulate a linear programming model for the above situation by determining
(a) The decision variables.
(b) The objective function.
(c) All the constraints.
Note: Do NOT solve the problem after formulating.
5. Charm City Foods manufactures a snack bar by blending two ingredients: a nut mix and a granola mix. Information about the two ingredients (per ounce) is shown below.
|
Ingredient
|
Cost In Dollars
|
Fat Grams
|
Protein Grams
|
Calories
|
|
Nut Mix
|
0.90
|
20
|
6.5
|
650
|
|
Granola Mix
|
0.45
|
3
|
2.2
|
55
|
The company needs to develop a linear programming model whose solution would tell them how many ounces of each mix to put into the snack bar. The blend should contain no more than 1200 calories, at least 12 grams of protein, and no more than 32 grams of fat. In addition, at least one ounce of nut mix must be included in the blend. The objective is to minimize the total cost.
Formulate a linear programming model for the above situation by determining
(a) The decision variables.
(b) The objective function.
(c) All the constraints.
Note: Do NOT solve the problem after formulating.
6. Determine whether the following linear programming problem is infeasible, unbounded, or has multiple optimal solutions. Draw a graph to find the feasible region (if it exists) and explain your conclusion.
Maximize 22xl + 32x2
Subject to:
2xl + x2 < 15
xl > 10
x2 < 10
xl, x2 > 0
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PUBLIC RELATIONS
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public relations
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Charles Dickens was not only an author but one of the most important social commentators of his time, who used…
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Charles Dickens was not only an author but one of the most important social commentators of his time, who used his writing as a tool of expression for his criticisms of Victorian England. After reading the selection from Charles Dickens’ “Hard Timesâ€, choose one of the following topics to find out more about, and write a clearly developed and well-formed research paper on your chosen topic. Follow the writing process and use APA format to cite sources used. Use the following two websites to help you in your writing:
https://owl.english.purdue.edu/owl/resource/658/01/
https://owl.english.purdue.edu/owl/section/2/10/
Each essay should be well developed with a clear intro with thesis, body paragraphs that support, and a conclusion. Your essay should be a minimum of 500 words and have a corresponding works cited page of all sources used.
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Electronics
/in Uncategorized /by JosephIn the ever-evolving landscape of education, students face increasing challenges to meet the demands of their academic pursuits. Striking a balance between extracurricular activities, personal commitments, and a rigorous academic curriculum can be overwhelming. Amidst this struggle, online homework help services have emerged as invaluable resources for students seeking academic excellence. Among these, HomeworkProWriters.com shines as a beacon of light, standing tall as the best website for homework help.
1. Analyze the circuit
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a recent poll showed that 54 of the 620 people interviewed preferred non-alcoholic beer over regular.What fraction of the people…
/in Uncategorized /by JosephIn the ever-evolving landscape of education, students face increasing challenges to meet the demands of their academic pursuits. Striking a balance between extracurricular activities, personal commitments, and a rigorous academic curriculum can be overwhelming. Amidst this struggle, online homework help services have emerged as invaluable resources for students seeking academic excellence. Among these, HomeworkProWriters.com shines as a beacon of light, standing tall as the best website for homework help.
At the core of HomeworkProWriters.com lies a team of exceptional and proficient writers. Each member of this distinguished cadre possesses advanced degrees in their respective fields, empowering them with the knowledge and expertise to tackle assignments from various academic disciplines. From complex mathematical problems to intricate literary analyses, their writers exhibit a remarkable ability to deliver impeccable content that adheres to the highest academic standards. One hallmark of the best homework help website is its comprehensive subject coverage. HomeworkProWriters.com leaves no academic stone unturned, catering to students across diverse subjects and levels of study. Whether it be fundamental sciences, nursing, humanities, social sciences, or technical disciplines, this platform ensures that no student is left without the support they need to excel.
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Unit one paper
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All problems below are to be completed and submitted to the Unit 1 Dropbox by the end of Unit 1.
Problem #1: Using either a graph or table (Refer to pages 11-15 for help with graphs and tables) use two goods to construct a production possibilities curve. Clearly explain what a variety of different points on the curve mean. What would make the curve expand or contract? Why is efficiency lost at the extremes, as when substantially more of one good and very little of another is produced?
Problem #2 Part A: Go to the internet auction site eBay® at www.ebay.comand select the category Jewelry and Watches, followed by Loose Diamonds and Gemstones, and then Diamonds, Natural. How many natural diamonds are for sale at the moment? Note the wide array of sizes and prices of the diamonds. In what sense is there competition among the sellers in this market? How does that competition influence prices? In what sense is there competition among buyers? How does that competition influence prices?
Problem #2:Part B) Describe what would happen if an outside agency determined the prices eBay could charge.
Problem #3: Read the “LAST word†feature on markets for human organs on Pages 62–63 of your text. Next, select a social problem where free markets are not allowed to function and describe how free market features could be introduced to help alleviate the problem. As part of your answer also include a discussion of the risks of introducing market mechanisms in situations where ethical issues are present. Your answer should be approximately two pages long and in APA format.
(Note: You can write about social problems where the free markets are not allowed to function, which includes the market for a particular illegal good or service, a regulated market, etc.).
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Web assign differential equation Online mid-term 21 Q
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Web assign differential equation Online mid-term 21 Qs due in 2 hours. Most Questions are similar to other examples found online so it should be easy to solve.
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MGMT615 Week 2 (I need two 250 responses in APA style)
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Hello!
I am taking a strategic planning course. I am posting two responses that students made on an article. I need responses for each student (I am attaching two documents which are each students responses). They need to be 250 words (minimum) and must list references (APA style).
I need tonight by 9pm (21:00) Thank you!
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assessment of risk
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Risks are common for all firms, but there are different levels of risks in different industries and in different countries. The differences in risks from firm to firm or industry to industry are called unsystematic risks. Consequently, individual firms and industries deal with risks in different ways.
Tasks:
Consider two companies that deal in two entirely different industries, such as Microsoft, which is a technology company, and Caterpillar Inc., which manufactures heavy equipment.
Respond to the following questions:
250-500 word
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Powerpoint
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10 power point slides APA STYLE
Prepare and deliver a professional presentation on a selected topic in criminal justice. Your presentation must be at a minimum of 10 PowerPoint slides excluding the cover slide and reference slide.
Your supervisor was impressed with your research and has asked you to create a presentation to share what you learned with the department. You will be given 2–3 minutes to present the findings of your research in a formal oral presentation to your group members and instructor using a PowerPoint file as visual support.
Your group and instructor will need to find a mutually agreeable time to meet online. Click here for a review of the microphone instructions.
This assignment will be assessed using additional criteria provided here.
Please submit your assignment.
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6 problems linear programming homework
/in Uncategorized /by JosephIn the ever-evolving landscape of education, students face increasing challenges to meet the demands of their academic pursuits. Striking a balance between extracurricular activities, personal commitments, and a rigorous academic curriculum can be overwhelming. Amidst this struggle, online homework help services have emerged as invaluable resources for students seeking academic excellence. Among these, HomeworkProWriters.com shines as a beacon of light, standing tall as the best website for homework help.
MUST SHOW ALL WORK. CANNOT USE COMPUTER SOFTWARE FOR GRAPHS
1. (a) Define the slack and surplus variables. What do they represent? What is (are) the difference(s) between a slack and a surplus variable?
(b) Briefly describe the important parts of each step needed to make a decision using decision sciences models.
(c) What are the different types of special situations that may occur while solving a linear programming problem? Briefly describe each of these special situations.
(d) What are the important properties of a straight line? Briefly describe each property. What are the different types of slopes possible for a straight line? Briefly describe each type of slope and give one example for each type.
2. Given the following linear programming problem
Maximize 20x + 15y
Subject to
2x + 2y < 100
2x + 3y < 120
x > 10
x, y > 0
(a) Graph the constraints.
(b) Find the coordinates of each corner point of the feasible region
(c) Determine the optimal solution.
3. Given that the optimal solution of the following linear programming problem is x = 10 and y = 10, state the problem in standard form and do a constraint analysis for the optimal solution.
Maximize 100x + 80y
Subject to
5x + 2y ≤ 80
3x + 5y ≥ 60
x + y ≤ 20
x ≤ 10
x, y > 0
4. A company manufactures two kinds of pinball machines, each requiring a different manufacturing technique. Each Super Ball machine requires 25 hours of labor, 8 hours of testing, and yields a profit of $350. Each Silver Ball machine requires 12.5 hours of labor, 8.5 hours of testing, and yields a profit of $200. There are 2500 hours of labor and 1200 hours of testing available.
The company has made contracts with the retailers to provide at least 60 Super Ball machines and at least 58 Silver Ball machines. The company wants to manufacture at most a combined total of 135 of Super Ball and Silver Ball machines.
How many of each kind of pinball machines the company should manufacture to maximize the total profit?
Formulate a linear programming model for the above situation by determining
(a) The decision variables.
(b) The objective function.
(c) All the constraints.
Note: Do NOT solve the problem after formulating.
5. Charm City Foods manufactures a snack bar by blending two ingredients: a nut mix and a granola mix. Information about the two ingredients (per ounce) is shown below.
Ingredient
Cost In Dollars
Fat Grams
Protein Grams
Calories
Nut Mix
0.90
20
6.5
650
Granola Mix
0.45
3
2.2
55
The company needs to develop a linear programming model whose solution would tell them how many ounces of each mix to put into the snack bar. The blend should contain no more than 1200 calories, at least 12 grams of protein, and no more than 32 grams of fat. In addition, at least one ounce of nut mix must be included in the blend. The objective is to minimize the total cost.
Formulate a linear programming model for the above situation by determining
(a) The decision variables.
(b) The objective function.
(c) All the constraints.
Note: Do NOT solve the problem after formulating.
6. Determine whether the following linear programming problem is infeasible, unbounded, or has multiple optimal solutions. Draw a graph to find the feasible region (if it exists) and explain your conclusion.
Maximize 22xl + 32x2
Subject to:
2xl + x2 < 15
xl > 10
x2 < 10
xl, x2 > 0
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