# Linear Programming Questions and Answers

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Linear ProgrammingThe total average power of the sum of two orthogonal signals can be always computed as the sum of these signals average powers O True O False

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Linear ProgrammingThe convolution sum of two time limited discrete signals is time limited O True O False

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Linear ProgrammingThe energy signals 10x t and 10 x 1 5 have the same energy O True O False

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Linear ProgrammingNot yet answered Marked out Sally will invest 8 000 a year for 20 years in a fund that will earn 6 annual interest If the first payment into the fund occurs today what amount will be in the fund in 20 years O a 310 942 35 O b 311 941 81 O c 294 284 72 O d 277 627 10 Next pag

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Linear ProgrammingQuestion 38 Answer saved Marked out of 1 00 Which of the following is not a major challenge facing the accounting profession a Forward looking information O b Timeliness O c Nonfinancial measurements d Accounting for hard assets Clear my choice Previous page

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Linear ProgrammingThe balance sheet is useful for analyzing all of the following except a solvency b profitability c liquidity d financial flexibility Clear my choice

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Linear ProgrammingQuestion 6 Which of the following is a pool of memory used for dynamic memory allocation O Dump O Heap Reserve 1 pts O Stack

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Linear ProgrammingQuestion 7 What common bug is shown in the following code snippet int foo foo 5 syntax error O type mismatch O uninitialized pointer O None of the above phrases describes the bug

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Linear ProgrammingGiven that 4 A and are eigenvectors of the matrix help numbers Ay help numbers Find the solution to the linear system of differential equations satisfying the initial conditions z 0 18 and g 0 5 z t v 1 10 48 4 18 determine the corresponding eigenvalue 102 48y 4 18y help formulas help formulas

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Linear ProgrammingA department of transportation s study on driving speed and miles per gallon for midsize automobiles resulted in the following data Speed Miles per Hour 60 25 50 56 Miles per Gallon 29 25 25 22 31 32 Compute the sample correlation coefficient to 2 decimals and enter negative value as negative number 30 51 40 56 What can you conclude based on your computation of the sample correlation coefficient Select your answer 29 24 20 35 Select the correct interpretation for the sample correlation coefficient i For driving speeds between 24 and 60 miles per hour higher speeds are associated with higher miles per gallon ii For driving speeds between 24 and 60 miles per hour higher speeds are associated with lower miles per gallon iii For driving speeds between 24 and 60 miles per hour lower speeds are associated with lower miles per gallon iv There is no relationship between driving speed and miles per gallon 26 24

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Linear ProgrammingConsider the function f x x 6x x 36x Determine the number of discontinuities of f x Dne X Determine the values of x at which f x has a discontinuity Enter your answer as a comma separated list of values The order of the values does not matter Enter DNE if f x does not have ar discontinuities dne

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Linear ProgrammingA Draw an XY plane and plot the points of the following ordered pair label the quadrants in your XY plane 1 2 3 2 0 1 3 4 2 4 1 4 5 5 0 6 0 3 7 3 3 8 5 3 9 4 1 B Using the modeling technique graph the following equations given its DOMAIN 1 y 2 x x 3 2 1 0 1 2 3 2 y x 3 x 3 2 1 0 1 2 3

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Linear ProgrammingLet A x y z w u and R is a relation on A that is represented by the following matrix 1 0 1 0 0 0 1 001 1 0100 0 0 0 1 0 0 1 001 1 Show that R is an equivalence relation 2 Find all equivalence classes of A over R

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Linear ProgrammingThe graph of y f x is shown below lim f x X 1 lim f x X 1 lim f x 3 X 1 3 2 Use the graph of y f x to compute each of the following values If an answer does not exist ent f 1 3 X 1 A 2 1 X

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Linear ProgrammingFor each of the following formulae choose the sentence that provides the best English translation of the formula according to the following symbolization key Question 10 B C Question 11 D F P Q S Bob is gathering eggs Bob has fed the chickens Bob has fed the ducks Bob is chasing the fox away The ducks are playing in the pond The ducks are quacking loudly The chickens are playing in the pond Q F A It s not the case that if the ducks are quacking loudly then Bob is chasing the fox away B The ducks aren t quacking loudly if Bob isn t chasing the fox away C If the ducks aren t quacking loudly Bob isn t chasing the fox away D Either the ducks are quacking loudly or Bob isn t chasing the fox away Select one answer 2 points Select one answer 2 points F Q S A If the ducks are quacking loudly and the chickens aren t playing in the pond then Bob is chasing the fox away B The ducks are quacking loudly and the chickens aren t playing in the pond unless Bob is chasing the fox away C The ducks are quacking loudly and the chickens aren t playing in the pond if Bob is chasing the fox away D The ducks are quacking loudly and the chickens aren t playing in the pond only if Bob is chasing the fox away

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Linear ProgrammingLet A the event someone tested positive for a virus and B the event someone has the virus What is the contextual difference between P A B and P A and B OP A B represents the number of individuals who have the virus among those who test positive P A and B represents the number of individuals who have the virus and test positive OP A B represents the population of individuals who test positive among those who have the virus P A and B represents the population of individuals who have the virus and test positive O P A B represents the probability that an individual who has the virus tests positive P A and B represents the probability that an individual has the virus and tests positive P A B represents the population of individuals who have the virus among those who test positive P A and B represents the population of individuals who have the virus and test positive OP A B represents the probability that an individual who tests positive has the virus P A and B represents the probability that an individual has the virus and tests positive

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Linear ProgrammingRewrite the expression using the given property of real numbers Associative Property of Multiplication 3 4x Your answer cannot be understood or graded More Information

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Linear Programming17 The line L x y z 3 1 2 t 1 2 1 intersects the sphere with equation x y z 6 at two points What are the two points T 4

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Linear Programming3 A company uses the perpetual inventory system and the gross method of accounting for sales and had the following sales transactions during June 01 27 10 June 2 Sold merchandise to a customer on credit for 8 000 terms 1 15 n 60 The items sold had a cost of 4 300 June 4 The customer from June 2 returned merchandise that had a selling price of 400 The cost of the merchandise returned was 270 June 15 The customer paid for the merchandise sold on June 2 less the return and taking any available discount Prepare journal entries to record these transactions View transaction list Journal entry worksheet 1 2 3 4 5 Sold merchandise to a customer on credit for 8 000 terms 1 15 n 60

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Linear ProgrammingFor the following frequency distribution let the mean 5 Find the variation coefficient if x f 290 X f 3 4 O a 88 8 O b 88 8 O c 42 14 O d 42 14 5 3 7 2 9 1

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Linear Programminguse an analytical method of solving a Use the intersection of graphs method to approximate the solution of the following to the nearest tenth Make a rough copy of the graph s from your graphing calculator that you have used to make your determination 2TX 0 8 9 x 7 b Use the x intercept method to approximate the solution of the following to the nearest tenth Write the function you enter into your calculator Make a rough copy of the graph s from your graphing calculator that you have used to make your determination Write the answer in interval notation 6 1x 2 3 2 x 4 3 4 6 I Function y Graph Interval

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Linear Programming6 The market for middle and aisle seats on airline flights Consider the market for middle and aisie seats on airline flights Aisle seats are more popular than middle seats For every aisle seat a middle seas exists assuming the row of seats on each side of the plane consists of three seats window middle and aisle So if the plane has 50 aisle seats will also have 50 middle seats In other words the supply of middle seats equals the supply of aisle seats However the demand for aisle seats is higher than the demand for middle seats Adjust the following graph to show the position of the curve reflecting the demand for aisle seats relative to the demand for middle seats 140 120 PRICE Dollars 112 54 70 42 Supply of seats 50 QUANTITY esta D Supply of seats

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Linear ProgrammingDOLLARS PER VISIT MINUTAP 300 250 1 200 150 100 TUPA F ymmand and Poce Applications 2 8 DOLLARS PER VISIT Market for Doctor Visits 1 I I KALUPADA SAAToe al dicta suns 4 de manag Betriels a gere Sam Ayam WERE Bakar das skyre tom I 250 376 500 625 756 DOCTOR VISITS PER YEAR The equilibrium number of doctor visits in this economy is Now suppose everyone in this economy gets health insurance that pays 50 of the price received by doctors In this case there would be doctor visita demanded per year Hint Type each entry in the drop down menu into the white box and examine the result When you change the number of doctor visits in the white box the value in the insurance payment box changes to reflect the amount that would make up the difference between what patients are willing to pay and what doctors charge at a given quantity J Puise mance Pa Supply HER Demand per a un 12 Supply Demand and Price Applications Ch 05 Supply mandate er sept me you the Demand K THE Doctor Visits per Year Patient Payment Dollars per visit Patient Payment Dollars per t Insurance Payment Dollars per visit Insurance Payment Dos per visi visits per year while the equilibrium price is MINTA SeDenne Aph PM 250 DRE 200 od Pube Price Doctors Charge Dollars per visit Pen per visit Pres Totes Lwan PL meintly dodala 10 Q Schn 100 tad Mal

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Linear ProgrammingThe following graph shows the supply of space on a commuter bridge and the demand for bridge space during rush hour and during off peak hours PRICE n 53 U Market for space on a commuter bridge 2 Hour If there is no toll to cross the bridge at any time then there will be bridge space during off peak hours and hour 0 Pon Pak S SHIDGE SPACE Now assume there is a toll to cross the bridge Which of the following toll prices will ensure that there is not a shortage excess demand of bridge space during rush hour Check all that apply A of bridge space during rush

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Linear ProgrammingThe citizens of a fictional city called Smallville enjoy exceptionally good weather compared to other similar cities in the country Let estate market in Smallville The following graph shows the supply and demand for housing in Smallville The curve labeled Supply represents the supply of housing in the city and the curve labeled D represents the demand for housing if the weather were not so good G Adjust the following graph to show the position of the demand curve given that the weather is good 140 126 PRICE Local Curency 112 98 84 70 50 42 14 0 O 22 Supply 18 99 110 77 33 44 55 66 QUANTITY Housing in Smallville D P Supply

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Linear Programmingt the Pennbrook University a planetary physics class is offered at two times 10 a m and 8 p m The supply of seats in the classroom is the same both times However student demand for the 10 a m class is higher than for the 8 p m class Adjust the following graph to show the position of the curve reflecting the demand for the 10 a m class relative to the demand for the 8 p m class 140 Tuition Dollars 126 112 98 84 70 56 42 28 14 0 0 10 20 Supply of seats in class Demand 30 40 50 60 70 Number of Seats in Class 8 p m 80 90 100 Demand 8 p m Supply of seats in class 10 a m

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Linear ProgrammingSuppose the government offers a 1 200 subsidy for each unit of the good the buyer purchases Adjust the following graph to show the effect of a government subsidy on the market for smart fridges Price Hundred Dollars 60 54 48 42 36 30 24 18 12 6 0 0 10 20 Demand Without subsidy 30 40 50 60 70 80 90 100 Quantity Thousands of fridges Demand Without subsidy

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Linear Programmingyears Geomagnetic surveys detect subsurface anomalies in the earth s magnetic field These surveys have led to many significant archaeological discoveries After collecting data the next step is to begin a statistical study The following data measure magnetic susceptibility centimeter gram second x 10 6 on two of the main grids of the location The data for the x variable Grid E is given below The data for the y variable Grid H is given below a Compute Ex 2x 13 10 5 70 19 70 14 95 21 50 17 35 27 55 16 85 24 00 32 50 40 85 5 00 17 65 28 45 Compute Ex Ex Compute Ey y 11 95 15 15 21 20 17 40 27 40 10 25 14 80 48 80 25 50 25 85 57 70 34 45 38 70 41 10 31 15 Compute Ey Ey2 X s b Use the results of part a to compute the sample mean variance and standard deviation for x Round your answers to four decimal places S S USE SALT Use the results of part a to compute the sample mean variance and standard deviation for y Round your answers to four decimal places c Compute a 75 Chebyshev interval around the mean for x values Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Compute a 75 Chebyshev interval around the mean for y values Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Use the intervals to compare the magnetic susceptibility on the two grids Higher numbers indicate higher magnetic susceptibility However extreme values high or low could mean an anomaly and possible archaeological treasure O Grid H shows a wider 25 range of values Grid E shows a wider 75 range of values O Grid E shows a wider 25 range of values Grid H shows a wider 75 range of values d Compute the sample coefficient of variation in percent for x Round your answers to one decimal place Compute the sample coefficient of variation in percent for y Round your answers to one decimal place Use the CV s to compare the two grids Grid H demonstrates greater variability per expected signal Grid H demonstrates the same variability per expected signal as Grid E O Grid E demonstrates greater variability per expected signal If s represents variability in the signal magnetic susceptibility and x represents the expected level of the signal then s x can be thought of as a measure of the variability per unit of expected signal Remember a considerable variability in the signal above or below average might indicate buried artifacts Why in this case would a large CV be better or at least more exciting Explain A larger CV would indicate a possibility of more buried artifacts

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Linear Programmingnurses had been in their current positions The responses in months of 20 nurses were as follows 50 40 Make a box and whisker plot of the data 30 20 27 6 9 18 29 40 31 10 11 27 33 30 32 15 24 35 12 40 USE SALT Find the interquartile range 50 40 30 20 46 16 12 10 50 40 30 20 10 50 40 30 10 5

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Linear ProgrammingThe Grand Canyon and the Colorado River are beautiful rugged and sometimes dangerous A physician has recorded for a 5 year period the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon Upper Canyon Number of Injuries per Landing Point Between North Canyon and Phantom Ranch 3 4 11 45 584 14 Lower Canyon Number of Injuries per Landing Point Between Bright Angel and Lava Falls 71107 6 3 15 201 12 3 1 USE SALT a Compute the mean median and mode for injuries per landing point in the Upper Canyon What is the mean Round your answer to four decimal places 3 6364 What is the median 4 What is the mode b Compute the mean median and mode for injuries per landing point in the Lower Canyon What is the mean Round your answer to four decimal places 4 2143 What is the median 2 5 What is the mode c Compare the results of parts a and b The Lower Canyon mean is greater while the median and mode are the same The mean median and mode are greater for the Upper Canyon The Lower Canyon mean is greater while the median and mode are less The mean median and mode are greater for the Lower Canyon d The Lower Canyon stretch had some extreme data values Compute a 5 trimmed mean for this region Round your answer to four decimal places Compare this result to the mean for the Upper Canyon computed in part a The trimmed mean is closer to the Upper Canyon mean The trimmed mean is the same as the Upper Canyon mean

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Linear ProgrammingBet l kitab n yar s n g nde 40 sayfa di er yar s n ise g nde 60 sayfa okuyarak bitiriyor Bet l g nde ortalama ka sayfa okumu tur A 36 B 44 C 46 D 48 E 50

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Linear Programmingrestaurants The results are shown in the following table Number of Quality Complaints Rating 0 10 6 4 1 8 9 1 Quality Rating Quality Rating 100 9 8 7 Construct a scatterplot of the data in which the horizontal axis corresponds to the number of complaints and the values start at 0 and end at 10 and the vertical axis corresponds to the quality rating and the values start at 0 and end at 10 9 5 4 3 2 1 10 9 8 7 6 5 4 32 3 1 2 1 2 8 3 1 5 7 7 1 7 9 5 2 2 3 4 5 6 7 8 9 10 Number of Complaints 1 2 3 4 5 6 7 8 9 10 Number of Complaints Quality Rating Quality Rating 10 9 8 7 10 3 2 19 10 99 8 in 4 3 Tigs as 2 1 1 2 3 4 5 Number of Complaints 7 8 9 10 1 2 3 4 5 6 7 8 Number of Complaints 9 10

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Linear ProgrammingDetermine the marginal change and the y intercept y 5 3x marginal change y intercept x y

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Linear ProgrammingConsider the following Minitab display of two data sets mean Variable range C1 N 20 20 C1 Mean 19 00 19 00 a What are the respective means The respective ranges SE Meant 1 61 C2 St Dev 6 49 5 77 Minimum 5 00 5 00 01 14 00 19 00 Median 19 00 21 00 03 24 00 21 00 Maximum 30 00 30 00

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Linear ProgrammingLook at the graphs and their equations below Then fill in the information about the coefficients A B C and D y A x y B x y Ckx A D x y a For each coefficient choose whether it is positive or negative Choose one b Choose the coefficient closest to 0 c Choose the coefficient with the least value B Choose one O C Choose one D Choose one

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Linear ProgrammingVanguard Total Stock Index all stocks Let y be a random variable representing annual return for Vanguard Balanced Index 60 stock and 40 bond For the past several years we have the following data x 10 0 35 23 29 22 23 13 12 22 y 9 2 31 15 21 17 15 2 3 a Compute Ex Ex LUSE SALT Compute Ex Ex S Compute Ey y Compute y Ey 5 b Use the results of part a to compute the sample mean variance and standard deviation for x Round your answers to four decimal places X s Use the results of part a to compute the sample mean variance and standard deviation for y Round your answers to four decimal places y s 12 c Compute a 75 Chebyshev interval around the mean for x values Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Compute a 75 Chebyshev interval around the mean for y values Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Use the intervals to compare the two funds 75 of the returns for the balanced fund fall within a narrower range than those of the stock fund O 75 of the returns for the stock fund fall within a narrower range than those of the balanced fund 25 of the returns for the balanced fund fall within a narrower range than those of the stock fund 25 of the returns for the stock fund fall within a wider range than those of the balanced fund d Compute the coefficient of variation in percent for fund x Round your answer to the nearest whole number X Compute the coefficient of variation in percent for fund y Round your answer to the nearest whole number Use the coefficients of variation to compare the two funds O For each unit of return the stock fund has lower risk O For each unit of return the balanced fund has lower risk For each unit of return the funds have equal risk If s represents risks and x represents expected return then s x can be thought of as a measure of risk per unit of expected return In this case why is a smaller CV better Explain

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Linear ProgrammingConsider the data set 2 5 6 7 9 a Find the range 7 b Use the defining formula to compute the sample standard deviation s Round your answer to two decimal places c Use the defining formula to compute the population standard deviation o Round your answer to two decimal plac

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Linear Programming2 4 4 8 6 12 a Determine the polynomial function of least degree whose graph passes through the given points p x b Sketch the graph of the polynomial function showing the given points y 15 15 10 10 5 15 10 10 15 15 y 10 5 10 15 5 5 10 10 15 15 O 15 10 5 15 10 5 15 10 5 10 15 5 y 15 10 5 5 10 5 5 10 10 15 15

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Linear ProgrammingComment on who appears to be the market share leader and how the market shares are changing over time In Year 1 and Year 2 Hertz was the clear market share leader In Year 3 and Year 4 Hertz and Avis have approximately the same market share The market share for Dollar appears to be declining In Year 1 and Year 2 Dollar was the clear market share leader In Year 3 and Year 4 Dollar and Hertz have approximately the same market share The market share for Avis appears to be declining In Year 1 and Year 2 Avis was the clear market share leader In Year 3 and Year 4 Avis and Hertz have approximately the same market share The market share for Dollar appears to be declining In Year 1 and Year 2 Avis was the clear market share leader In Year 3 and Year 4 Dollar and Avis have approximately the same market share The market share for Hertz appears to be declining In Year 1 and Year 2 Hertz was the clear market share leader In Year 3 and Year 4 Hertz and Dollar have approximately the same market share The market share for Avis appears to be declining Construct a bar chart showing rental cars in service for Year 3 Cars in Service 1000s 350 300 250 200 150 100 50 0 Hertz Dollar Company Avis Is this chart based on cross sectional or time series data O cross sectional time series Cars in Service 1000s 350 300 250 200 150 100 50 0 Hertz Dollar Company Avis Cars in Service 1000s 350 300 250 200 150 100 50 0 Hertz Dollar Company Avis Ox Cars in Service 1000s 350 300 250 200 150 100 50 0 Hertz X Dollar Company Avis

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Linear Programming3 2 3 2 Find both I and V in the network in Fig P3 2 using nodal analysis 6 kn ww 2 mA Figure P3 2 3 kn Vo 4 mA 12 k

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Linear Programmingc Draw a histogram Use the class boundaries and the corresponding frequencies to create a histogram Class Limits Class Boundaries Frequency 5 28 38 39 49 50 60 61 71 72 82 27 5 38 5 38 5 49 5 49 5 60 5 60 5 71 5 71 5 82 5 25 17 1 Recall that the class frequency determines the height of each bar So to construct the histogram include a range g than the highest frequency value to accommodate the frequency on the vertical axis There are five classes in the table so there are X vertical bars The values for each vertical bar will b made clear with the lower class boundary to the left of its respective bar and the upper class boundary to the right

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Linear ProgrammingGiven the following information set up the problem in a transportation table and solve for the minimum cost plan PERIOD 2 700 Demand Capacity Regular Overtime Subcontract Beginning inventory Costs Regular time Overtime Subcontract Inventory carrying cost Back order cost 550 500 50 120 100 60 per unit 80 per unit 90 per unit 500 50 120 1 per unit per month 3 per unit per month 3 750 440 50 100 Suppose the inventory carrying cost has just increased and is now 2 per unit per period Compute the total cost for the original transportation model with 1 inventory carrying cost and the new total cost at 2 carrying cost What is the additional cost for the optimal plan

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Linear ProgrammingA company has 12 510 available per month for advertising Newspaper ads cost 180 each and carit rin more than 23 times per month Radio ads cost 560 each and can t run more than 34 times per month at this price Cach newspaper ad reaches 7350 potential customers and each radio ad reaches 8850 potential customers The company wants to maximize the number of ad exposures to potential customers Jsen for number of Newspaper advertisements and for number of Radio advertisements Maximice P subject to 121 fi x 23 x 34 1800 500 12 510 Enter the solution below If needed round ads to 1 decimal palace and group exposure to the nearest whole persons Number of Newspaper ads to runs 10 Number of Radio ads to run is 34 Maximum targes group exposure is 12510 x people

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Linear ProgrammingA company has 12 510 available per month for advertising Newspaper ads cost 180 each and can t run more than 23 times per month Radio ads cost 560 each and can t run more than 34 times per month at this price Each newspaper ad reaches 7350 potential customers and each radio ad reaches 8850 potential customers The company wants to maximize the number of ad exposures to potential customers Use n for number of Newspaper advertisements and r for number of Radio advertisements Maximize P subject to 23 34 12 510 Enter the solution below If needed round ads to 1 decimal palace and group exposure to the nearest whole person Number of Newspaper ads to run is Number of Radio ads to run is

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Linear ProgrammingUse technology to maximize the following You may round answers to 2 decimal places if desired Maximize f 4x 5y 92 subject to 5x 4y 22 12 5x 3y 226 5x 4y 32 18 z 0 y 20 220 If no solutions existenter DNC in all answerboxes Z 11 2 11 2 0 0 P 8

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Linear ProgrammingAlarmer is going to divide her 40 acre farm between two crops Seed for crop A costs 5 per acre Seed for crop B costs 10 per acre The farmer can spend at most 300 on seed If crop B brings in a profit of 240 per acre and crop A brings in a profit of 160 per acre how many acres of each crop should the farmer plant to maximize her profit acres of crop A cres of con

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Linear ProgrammingA company produces two types of drills a corded and cordless The cord type drill requires 2 hours to make and the cordless model requires 3 hours The company has 360 work hours per day for manufacturing and daily storage of 165 drills per day Let the number of cordless drills produced per day and y the number of corded drills produced per day Write the system of inequalities 2 x y Graph the system of inequalities 250 240 290 220 230 200 190 180 270 160 150 140 120 120 120 100 90 3x 2y 360 y165

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Linear ProgrammingGraph the solution set to the follow system of inequalities by drawing a polygon around the solution region Click to set the corner points 3x 6y 48 5x 2y 40 8 D 10 9 9 90 8 7 6 5 4 3 24 14 2 20 20 1 2 3 4 5 6 7 8 9 10