Solve the linear programming problem by the method of corners.
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Angnyvrqc
Mathematics
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Solve the linear programming problem by the method of corners.
Find the minimum and maximum of P = 4x + 2y subject to
3x | + | 5y | ≥ | 20 |
3x | + | y | ≤ | 16 |
−2x | + | y | ≤ | 4 |
x ≥ 0, y ≥ 0. |
The minimum is P = at
(x, y) =
.
The maximum is P = at
(x, y) =
.
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25 Calc Questions
1.Use the graph of f(x) below to estimate the value of f '(-2): (4 points)-10142.Given the graph of f '(x), the derivativ ...
25 Calc Questions
1.Use the graph of f(x) below to estimate the value of f '(-2): (4 points)-10142.Given the graph of f '(x), the derivative of f(x), which of the following statements are true about the graph of f(x)? (4 points)I. The graph of f has a critical point at x = 0. II. The graph of f has a critical point at x = 1. III. The graph of f has a point of inflection at x = 1.I onlyII onlyIII onlyI and III only3.Find the critical point of the function f(x) = x2 - 2x + 7. (4 points)(-1, 10)(-1, 6)(1, 0)(1, 6)4.For what values of x is the graph of concave upward? (4 points)No values of xx < 6x > -6x > 65.At what value(s) of x does f(x) = x4 - 18x2 have a critical point where the graph changes from decreasing to increasing?(4 points)0 and -3 only0 and 3 only-3, and 3 only0 only1.The maximum value of f(x) = 2x3 - 18x2 + 48x - 1 on the interval [0, 3] is (4 points)-13935712.In which interval is the function f(x) = - 4x2 + 12x + 1 increasing? (4 points)(-∞, 2) only(-∞, 2) U (6, ∞)(6, ∞) only(2, 6) only3.What are the critical values on the graph of y = x4 + 6x2 - 5? (4 points)x = -1 and 1x = -3, 0, and 3x = 0There are no critical values for this function.4.Find the x-coordinate of the point(s) of inflection on the graph of y = x3 - 12x2 - 5. (4 points)x = -2x = 4x = 2x = 125.Which one of the following statements is true? (4 points)If f ′′(x) > 0 on the interval (a, b), then f is concave up on the interval (a, b).If f ''(c) = 0, then x = c is an inflection point on the graph of f(x).If f is continuous on a closed interval [a, b], then f attains an absolute maximum value and f attains an absolute minimum inside the interval [a, b].None of these are true.1.Find the absolute maximum value of the function . (4 points)0412None of these2.In the answer space below, provide one of the two positive integers whose product is 196 and whose sum is a minimum. 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(4 points) 1.If y = 2x3 - 4x and , find when x = 1. Give only the numerical answer. For example, if = 3, type only 3. (4 points) 2.The area A = πr2 of a circular oil spill changes with the radius. At what rate does the area change with respect to the radius when r = 3ft? (4 points)6π ft2/ft3π ft2/ft6 ft2/ft9π ft2/ft3.A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 4 cm, the edge length of the base is increasing at a rate of 2 cm/min, the height of the box is 15 cm, and the height is decreasing at a rate of 3 cm/min. (4 points)The volume of the box is decreasing at a rate of 192 cm3/min.The volume of the box is increasing at a rate of 288 cm3/min.The volume of the box is decreasing at a rate of 288 cm3/min.The volume of the box is increasing at a rate of 192 cm3/min.4.The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 20cm. (4 points)36π108π360πNone of these5.A 10-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at the instant when the bottom of the ladder is 6 ft from the wall? Answer with 2 decimal places. Type your answer in the space below. If your answer is a number less than 1, place a leading "0" before the decimal point (ex: 0.35). (4 points)
MAT1222 Rasmussen SEC5 Solving Problems Using Substitution Method Question
The Circus is coming to town!Cindy is selling ticketsThe first day she sold 8 adult tickets and 5 child tickets for a tota ...
MAT1222 Rasmussen SEC5 Solving Problems Using Substitution Method Question
The Circus is coming to town!Cindy is selling ticketsThe first day she sold 8 adult tickets and 5 child tickets for a total of $180.50.The second day she received $261.00 for 12 adult tickets and 6 child tickets.What is the price of a child's ticket?What is the price of an adult's ticket?To receive full credit for your solution you need to:1) Write two algebraci equations that model the circus ticket scenario.2) Show how you solved the problem by using the elimination method, the substitution method, or the graphical method. (Other methods such as "guess and check" are not sufficient.)
SPSS Assignment Discussion
Complete Teton Grand assignment where z scores of student information are determined from a
set of data.
Calculate the z ...
SPSS Assignment Discussion
Complete Teton Grand assignment where z scores of student information are determined from a
set of data.
Calculate the z scores for a set of student data for Teton Grand. You will do this using the FINAL
EXAM SCORE. Teton Grand is interested in hiring a statistician intern for the summer and would like an
explanation of the purpose and use of z scores using a sample of their actual data. Your
assignment should be a training to help them understand how to calculate z scores. This can be
in a video format, presentation, or step-by-step handout. It must be client ready, professionally
formatted, and easy to understand. The assignment must clearly indicate how you transformed Teton Grand’s data into z scores and
must also include an attachment of the dataset after you have transformed it. If creating a video,
length should be approximately 5-10 minutes. If creating a presentation, the length should be
approximately 10-15 slides. Your submission should adhere to the APA format and guidelines (i.e.
citing sources appropriately, including references and using APA formatted tables to show data). Post your assignment as well as a brief abstract in the discussion thread to the discussion board
highlighting why z scores are used and are useful for analyzing data. Please be sure that you are
posting in a client-ready format, using professional and appropriate language for talking to an
organization.Your presentation can be created using PowerPoint, Prezi or any other multimedia tool, but it mustbe viewable by anyone in the class. As your instructor and classmates will most likely be a mix ofWindows and Macs user, you must export your presentation as a video and upload it to yourmedia. If you use Prezi, you can post a link to the presentation.PowerPoint (Windows Users): https://support.office.com/en-za/article/Turn-your-presentation-into-a-video-c140551f-cb37-4818-b5d4-3e30815c3e83(https://support.office.com/en-za/article/Turn-your-presentation-into-a-video-c140551f-cb37-4818-b5d4-3e30815c3e83)Keynote (Mac Users): https://support.apple.com/en-us/HT202220(https://support.apple.com/kb/PH16971?viewlocale=en_US&locale=en_US)Sharing with Prezi: https://prezi.com/support/article/sharing/sharing-...(https://prezi.com/support/article/sharing/sharing-prezis/)
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Estimating Models Using Dummy Variables
The dataset used is the cumulative data derived from the General Social Survey released on 20th December 2019. The researc ...
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STAT 2002 Walden University Testing a Manufacturers MPG Claim Report
Assignment: Note: This Assignment consists of two parts. You will complete and submit Part 1 this week, and you will compl ...
STAT 2002 Walden University Testing a Manufacturers MPG Claim Report
Assignment: Note: This Assignment consists of two parts. You will complete and submit Part 1 this week, and you will complete and submit Part 2 next week.Companies often develop and test hypotheses about their products. For example, car manufacturers will test their cars to determine fuel efficiency and miles per gallon. To ensure that products are safe and that they perform as advertised, regulatory and consumer protection groups also test companies’ claims.For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data: 29.7 24.5 27.1 29.8 29.2 27.0 27.8 24.1 29.3 25.9 26.2 24.5 32.8 26.8 27.8 24.0 23.6 29.2 26.5 27.7 27.1 23.7 24.1 27.2 25.9 26.7 27.8 27.3 27.6 22.8 25.3 26.6 26.4 27.1 26.1To prepare for this Assignment:Refer to the scenario above and the data that was provided by the car company (please see above)Submit Part 1 of your report according to the following prompts.Part 1: Sample Mean, Standard Deviation, and Confidence IntervalComplete the following and include your results and responses in your report:Include a brief introduction that provides a context for the assignment you have been given by your firm.Calculate a 95% confidence interval around your sample mean. (75 words, or 1 paragraph)Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.Is the company’s claimed mean inside your confidence interval? (75 words, or 1 paragraph)What does that result indicate about the company’s claim? (75 words, or 1 paragraph)3 prompts: 1 citation for each prompt. APA style, Times new roman 12, double space.
12 pages
Report Proposal
Influence of Corporate Social Responsibility on Teton Grand Performance as an Several literature and studies with varying ...
Report Proposal
Influence of Corporate Social Responsibility on Teton Grand Performance as an Several literature and studies with varying results have been conducted ...
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25 Calc Questions
1.Use the graph of f(x) below to estimate the value of f '(-2): (4 points)-10142.Given the graph of f '(x), the derivativ ...
25 Calc Questions
1.Use the graph of f(x) below to estimate the value of f '(-2): (4 points)-10142.Given the graph of f '(x), the derivative of f(x), which of the following statements are true about the graph of f(x)? (4 points)I. The graph of f has a critical point at x = 0. II. The graph of f has a critical point at x = 1. III. The graph of f has a point of inflection at x = 1.I onlyII onlyIII onlyI and III only3.Find the critical point of the function f(x) = x2 - 2x + 7. (4 points)(-1, 10)(-1, 6)(1, 0)(1, 6)4.For what values of x is the graph of concave upward? (4 points)No values of xx < 6x > -6x > 65.At what value(s) of x does f(x) = x4 - 18x2 have a critical point where the graph changes from decreasing to increasing?(4 points)0 and -3 only0 and 3 only-3, and 3 only0 only1.The maximum value of f(x) = 2x3 - 18x2 + 48x - 1 on the interval [0, 3] is (4 points)-13935712.In which interval is the function f(x) = - 4x2 + 12x + 1 increasing? (4 points)(-∞, 2) only(-∞, 2) U (6, ∞)(6, ∞) only(2, 6) only3.What are the critical values on the graph of y = x4 + 6x2 - 5? (4 points)x = -1 and 1x = -3, 0, and 3x = 0There are no critical values for this function.4.Find the x-coordinate of the point(s) of inflection on the graph of y = x3 - 12x2 - 5. (4 points)x = -2x = 4x = 2x = 125.Which one of the following statements is true? (4 points)If f ′′(x) > 0 on the interval (a, b), then f is concave up on the interval (a, b).If f ''(c) = 0, then x = c is an inflection point on the graph of f(x).If f is continuous on a closed interval [a, b], then f attains an absolute maximum value and f attains an absolute minimum inside the interval [a, b].None of these are true.1.Find the absolute maximum value of the function . (4 points)0412None of these2.In the answer space below, provide one of the two positive integers whose product is 196 and whose sum is a minimum. (4 points) 3.A farmer has 1,800 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. Write the function that will produce the largest area if x is the short side of the rectangle. (4 points)f(x) = -2x2 + 1800xf(x) = -x2 + 1800xf(x) = x2 - 1800f(x) = 2x2 - 18004.What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)81216325.If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000. (4 points)1.A particle moves with velocity function v(t) = - t2 + 5t - 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds. 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MAT1222 Rasmussen SEC5 Solving Problems Using Substitution Method Question
The Circus is coming to town!Cindy is selling ticketsThe first day she sold 8 adult tickets and 5 child tickets for a tota ...
MAT1222 Rasmussen SEC5 Solving Problems Using Substitution Method Question
The Circus is coming to town!Cindy is selling ticketsThe first day she sold 8 adult tickets and 5 child tickets for a total of $180.50.The second day she received $261.00 for 12 adult tickets and 6 child tickets.What is the price of a child's ticket?What is the price of an adult's ticket?To receive full credit for your solution you need to:1) Write two algebraci equations that model the circus ticket scenario.2) Show how you solved the problem by using the elimination method, the substitution method, or the graphical method. (Other methods such as "guess and check" are not sufficient.)
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Complete Teton Grand assignment where z scores of student information are determined from a
set of data.
Calculate the z ...
SPSS Assignment Discussion
Complete Teton Grand assignment where z scores of student information are determined from a
set of data.
Calculate the z scores for a set of student data for Teton Grand. You will do this using the FINAL
EXAM SCORE. Teton Grand is interested in hiring a statistician intern for the summer and would like an
explanation of the purpose and use of z scores using a sample of their actual data. Your
assignment should be a training to help them understand how to calculate z scores. This can be
in a video format, presentation, or step-by-step handout. It must be client ready, professionally
formatted, and easy to understand. The assignment must clearly indicate how you transformed Teton Grand’s data into z scores and
must also include an attachment of the dataset after you have transformed it. If creating a video,
length should be approximately 5-10 minutes. If creating a presentation, the length should be
approximately 10-15 slides. Your submission should adhere to the APA format and guidelines (i.e.
citing sources appropriately, including references and using APA formatted tables to show data). Post your assignment as well as a brief abstract in the discussion thread to the discussion board
highlighting why z scores are used and are useful for analyzing data. Please be sure that you are
posting in a client-ready format, using professional and appropriate language for talking to an
organization.Your presentation can be created using PowerPoint, Prezi or any other multimedia tool, but it mustbe viewable by anyone in the class. As your instructor and classmates will most likely be a mix ofWindows and Macs user, you must export your presentation as a video and upload it to yourmedia. If you use Prezi, you can post a link to the presentation.PowerPoint (Windows Users): https://support.office.com/en-za/article/Turn-your-presentation-into-a-video-c140551f-cb37-4818-b5d4-3e30815c3e83(https://support.office.com/en-za/article/Turn-your-presentation-into-a-video-c140551f-cb37-4818-b5d4-3e30815c3e83)Keynote (Mac Users): https://support.apple.com/en-us/HT202220(https://support.apple.com/kb/PH16971?viewlocale=en_US&locale=en_US)Sharing with Prezi: https://prezi.com/support/article/sharing/sharing-...(https://prezi.com/support/article/sharing/sharing-prezis/)
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Estimating Models Using Dummy Variables
The dataset used is the cumulative data derived from the General Social Survey released on 20th December 2019. The researc ...
Estimating Models Using Dummy Variables
The dataset used is the cumulative data derived from the General Social Survey released on 20th December 2019. The research analyzes whether a ...
STAT 2002 Walden University Testing a Manufacturers MPG Claim Report
Assignment: Note: This Assignment consists of two parts. You will complete and submit Part 1 this week, and you will compl ...
STAT 2002 Walden University Testing a Manufacturers MPG Claim Report
Assignment: Note: This Assignment consists of two parts. You will complete and submit Part 1 this week, and you will complete and submit Part 2 next week.Companies often develop and test hypotheses about their products. For example, car manufacturers will test their cars to determine fuel efficiency and miles per gallon. To ensure that products are safe and that they perform as advertised, regulatory and consumer protection groups also test companies’ claims.For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data: 29.7 24.5 27.1 29.8 29.2 27.0 27.8 24.1 29.3 25.9 26.2 24.5 32.8 26.8 27.8 24.0 23.6 29.2 26.5 27.7 27.1 23.7 24.1 27.2 25.9 26.7 27.8 27.3 27.6 22.8 25.3 26.6 26.4 27.1 26.1To prepare for this Assignment:Refer to the scenario above and the data that was provided by the car company (please see above)Submit Part 1 of your report according to the following prompts.Part 1: Sample Mean, Standard Deviation, and Confidence IntervalComplete the following and include your results and responses in your report:Include a brief introduction that provides a context for the assignment you have been given by your firm.Calculate a 95% confidence interval around your sample mean. (75 words, or 1 paragraph)Note: Include your calculations. If your calculations are submitted separately, make note of where they can be found.Is the company’s claimed mean inside your confidence interval? (75 words, or 1 paragraph)What does that result indicate about the company’s claim? (75 words, or 1 paragraph)3 prompts: 1 citation for each prompt. APA style, Times new roman 12, double space.
12 pages
Report Proposal
Influence of Corporate Social Responsibility on Teton Grand Performance as an Several literature and studies with varying ...
Report Proposal
Influence of Corporate Social Responsibility on Teton Grand Performance as an Several literature and studies with varying results have been conducted ...
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