Linear Programming Questions and Answers

Draw a stem and leaf plot for the data set Enter numbers from smallest to largest separated by spaces Enter NONE for stems with no values Data set A The annual wages of employees at a small accounting firm are given in thousands of dollars 17 25 19 25 60 33 50 34 15 31 24 35 36 1 2 3 4 56

the following data set The annual wages of employees at a small accounting firm are given in thousands of dollars 25 25 25 30 30 35 50 60 16 14 18 18 20 Prepare a frequency distribution for the data set Wages Frequency 14 16 18 20 25 30 35 50 60 Need Help Read It

4 Listen Find all zeros of the function and write the polynomial as a product of f x x 3x 6x 12x 8 Of x x 1 x 2 x 2i x 2i f x x 1 x 2 x 2 x 2i f x x i 2 x 2 x 2 x 2 f x x 1 x 2 x 2 x 2

Use the given zero to find the remaining zeros of the f x x3 5x 17x 13 zero 2 3i O 2 31 1 3 21 1 2 31 1 3 21 1

Assume that a sample is used to estimate a population mean Find the 95 confidence interval for a sample of size 28 with a mean of 76 7 and a standard deviation of 12 2 Enter your answer as a tri linear inequality accurate to 3 decimal places ft

rt 1 of 2 nts Skipped eBook Hint Print references Req 1 Req 2 and 3 Express the balance sheets in common size percents Note Do not round intermediate calculations and round your final percentage answers to 1 decimal place Common Size Comparative Balance Sheets December 31 Assets Cash Accounts receivable net Merchandise inventory Prepaid expenses Plant assets net Total assets SIMON COMPANY Liabilities and Equity Accounts payable Long term notes payable Common stock 10 par Retained earnings Total liabilities and equity Current Year 1 Year Ago 2 Years Ago

Find the mean median and mode for the following frequency distribution X 2 3 5 6 7 9 10 f 3 9 5 2 7 5 3 D Find the mean Select the correct choice below and fill in any answer boxes in yo choice OA The mean is Round to two decimal places as needed OB There is no mean for this distribution

2 An instructor has given a short quiz consisting of two parts For a randomly selected student let X the number of points earned on the first part and Y the number of points earned on the second part Suppose that the joint pmf of X and Y is given in the accompany ing table p x y 550 10 0 02 04 01 5 06 15 15 y 10 02 20 14 15 10 10 01 a If the score recorded in the grade book is the total number of points earned on the two parts what is the expected recorded score E X Y b If the maximum of the two scores is recorded what is the expected recorded score

5 1 point In a linear model the first differences are IELIETE

4 Consider the IVP Jy t 1 y t y 1 2 1 t 2 a Write out the midpoint method and modified Euler s method for this IVP with a step size h b Using h 0 5 to 1 and wo 1 use one step of the midpoint method and modified Euler method to compute an approximation to y t 2 The exact solution is y t tln t 2t

Automobile manufacturers are planning to adopt a new technology that will increase their overall productivity by 30 As a result in the loanable funds market equilibrium investment will and the equilibrium interest rate will Choose one OA decrease increase OB decrease decrease OC increase increase OD increase decrease

Question 6 Given functions g x interval notation Domain of g x Domain of g f x Domain of f g x Y Question Help Video 1 and f x x 4 state the domains of the following functions using

3 Income Distribution exercise The following table shows income distribution data for an economy in 1977 and 1999 Plot the Lorenz curves for the economy in 1977 and 1999 in a single diagram use Excel What do these curves indicate about how income distribution has changed in the US over the past two decades Calculate the Gini index for the two years Household Group One fifth with lowest income Next lowest one fifth Middle one fifth Next highest one fifth One fifth with highest income Share of Aggregate Income 1977 1999 4 8 6 2 18 7 25 6 44 7 2 5 5 3 17 1 21 8 53 3

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1 The following is a list of an economy s National Income Account data for a particular year in billions of dollars Government Transfer Payments Income Receipts from Rest of the World Income Payments to Rest of the World Government Purchases Of Goods Services Personal Income Taxes Corporate Income Taxes Indirect Business Taxes Payroll Taxes Undistributed Corporate Profits Wages Salaries Personal Consumption Expenditures Depreciation Capital Consumption Allowance Net Private Domestic Investment 16 37 45 69 38 28 12 21 19 230 267 14 47 Rents Exports Corporate Profits Interest Income Dividends Imports Proprietors Income 16 24 88 19 23 17 25 Calculate GDP GNP NNP National Income Personal Income and Disposable Personal Income You should be able to compute GDP using both the expenditures approach and the income approach

Write the MATLAB commands to reduce the block diagrams below 1 R S 5 115 2 Write the MATLAB script and answer below 2s C s

Evan works Tuesday through Saturday at their family s convenience store Besides the free snacks they get paid 55 day to work on Tuesday Wednesday Thursday and 80 day to work on Friday Saturday they work more hours on those days How much money does Evan make in one week

Write the line that is parallel to the following equation and passes through the point 3 4 Use slope intercept form y x 2 3

b The graph of y f x is shown Draw the graph of y f 2x 4 81 8 6 6 6 x X

States whe SD Sp is the domestic supply curve and Dp is the domestic demand curve Assume the United States is considered a large nation meaning that changes in the quantity of its imports due to a tariff influence the world price of oil Under free trade the United States faced a total supply schedule of Sp w which shows the quantity of oil that both domestic and foreign producers together offer domestic consumers In this case the free trade equilibrium black plus occurs at a price of 240 per barrel of oil and a quantity of 9 million barrels At this price the United States imports 6 million barrels of oil Suppose the U S government imposes a 60 per barrel tariff on oil imports On the following graph use the tan line rectangle symbol to draw the new total supply schedule including the tariff SD w T Then use the grey point star symbol to indicate the new market equilibrium price and quantity as a result of the tariff PRICE Dollars per barrel 420 390 360 330 300 270 240 210 180 150 120 DD 0 1 D W 2 3 4 5 6 7 8 QUANTITY OF OIL Millions of barrels Domestic revenue effect Terms of trade effect 1 9 O True So 10 10 D W T Equilibrium Under Tariff Domestic Revenue Effect Terms of Trade Effect The tarrif s revenue effect the import tariff multiplied by the quantity of oil imported can be broken into two components Deadweight Loss On the previous graph use the green rectangle triangle symbols to indicate the domestic revenue effect of the tariff Then use the purple rectangle diamond symbols to indicate the terms of trade effect Now consider the effect of the tariff on welfare in the United States On the previous graph use the black triangles plus symbols to indicate the deadweight loss caused by the tariff True or False National welfare in the United States increases as a result of a 60 per barrel tariff on oil imports

32x5 202 x 1 10

npie On June 24 1948 the former Soviet Union blocked all land and water routes through East Germany to Berlin A gigantic airlift was organized using American and British planes to bring food clothing and other supplies to the more than 2 million people in West Berlin The Americans had two types of planes available the C 47 Skytrain and the C 54 Skymaster The carrying capacity was 3 5 tons for a C 47 and 10 tons for a C 54 To break the Soviet blockade the Western Allies had to maximize carrying capacity but the Americans were limited by the following restrictions No more than 44 planes could be used per day Each C 47 required 4 crew members per flight and the crew requirement for the C 54 was 5 The total number of personnel available per day could not exceed 200 The Americans only had 32 C 54 s available Find the number of C 47 s and C 54 s the Americans used to maximize their carrying capacity a Convert each constraint from problem 2 into an equation by adding slack variables and set up the initial simplex matrix b Perform all pivots necessary using row operations to transform the matrix until the solution is feasible

Write a new Python 3 code for the problem S N 1 i 2 i 1 1 1 1 2 1 N

4 Exp Log Models Find the exponential function that models the data in the table below X y y 3 7 8 2 7 4 1 7 2 0 7 What is the exponential regression of the data 1 14 Question 1 5 4 1 GC 2 28 3 56 4 112

Calculate the missing values in the following table Round answers to 2 decimal places a b Fahrenheit F 225 Celsius C 13 Kelvin K 11 211

Divide the terms Select the correct simplified form a 48x5 36x 16x 60 1 4 x x 4x 15 Ox59x 4x 15 O 12x5 9x 4x 15 O 12x59x 4x 4x 15

ts eBook Hint Print eferences b Prepare the adjusting entry to record bad debts expense using the estimate from part a Assume the unadjusted balance in the Allowance for Doubtful Accounts is a 4 500 credit c Prepare the adjusting entry to record bad debts expense using the estimate from part a Assume the unadjusted balance in the Allowance for Doubtful Accounts is a 1 000 debit View transaction list Journal entry worksheet 1 2 Record estimated bad debts assuming that Allowance for Doubtful Accounts has a 4 500 credit balance Show less A

1 4 pts 2 each Explain clearly and thoroughly all steps for acting out the computations below using Plus Minus Chips You may draw Remember to say WHY when you introduce new zero pairs I ll expect you to do this without reminder on the exam supporting picture but it s not required and won t be graded

7 At greater depths the increased pressure causes a diver to use the air in the tank more quickly Assume that the amount of time a tank of air will last is inversely proportional to the pressure at the depth of the dive Suppose a tank has enough air to last 60 min at the surface How long will it last at a depth of 99 ft

ces Palmona Company establishes a 270 petty cash fund on January 1 On January 8 the fund shows 165 in cash along with receipts for the following expenditures postage 44 transportation in 13 delivery expenses 15 and miscellaneous expenses 33 Palmona uses the perpetual system in accounting for merchandise inventory 1 Prepare the entry to establish the fund on January 1 2 Prepare the entry to reimburse the fund on January 8 under two separate situations a To reimburse the fund b To reimburse the fund and increase it to 320 Hint Make two entries View transaction list Journal entry worksheet 1 2 3 4 Record the journal entry to establish the petty cash fund Motor Enter debits before credits

1 A baker supposed that the age of a cake mix and the height of the cake made from it were related She kept track of the age in years x and the height in cm y as an ordered pair x y The results she recorded were 1 5 2 5 4 8 2 6 and 1 6 What is the correlation coefficient if age is the explanatory variable Show all formulas used and all work

Due Date 09 14 2023 1 Refer to the table below for results of a sieve analysis Please show your work in a detailed manner U S Sieve no 4 10 20 40 60 100 200 Pan Mass of soil retained g 28 42 48 128 221 86 40 24 a Determine the percent finer than each sieve and plot a grain size distribution curve

1 23 4 5 6 1st attempt 5 4 3 2 1 0 Part 1 2 points Itranscript If a bottle of hand crafted ginger beer costs 3 how many bottles will the student buy

point Find the polynomial of degree 4 whose graph goes through the points 2 57 1 3 0 3 1 9 and 2 9

structural member like the material on the chart see Fig 3 has a major width Omm minor width 40mm a filler radius 8mm and 10mm thickness Using the chart and given the maximum allowable stress equals to 165MPa a find the largest load that the part can be withstand so do not fail 3 0 2 8 1 6 24 22 K 20 1 8 1 6 1 4 1 2 1 0 C 0 1 012 03 GA 0 5 0 La 0 7 0 8 0 9 1 0

10 points Consider the following linear program 3x 2x x x 7 X 2x 5 X1 X 0 write the KKT optimality conditions For each vertex point of the feasible region verify whether or not the KKT conditions are true From this find which of vertex solutions are optimal Maximize subject to

15 A pharmacist attempts to weigh 0 375 g of morphine sulfate on a balance of du ous accuracy When checked on a highly accurate balance the weight is found be 0 400 g Calculate the percentage of error in the first weighing

14 What s the perimeter of a rectangle with length 12 m and width 5 m OA 17 m B 60 m OC 49 m OD 34 m

of 4 Book Print erences Required information The following information applies to the questions displayed below Warnerwoods Company uses a perpetual inventory system It entered into the following purchases and sales transactions for March Date March 1 March 5 March 9 March 18 March 25 March 29 Activities Beginning inventory Purchases March 5 March 18 March 25 Beginning inventory Purchase Sales Purchase Purchase Sales Totals Units Acquired at Cost 120 units 51 40 per unit 235 units 56 40 per unit Required 1 Compute cost of goods available for sale and the number of units available for sale of units 95 units 61 40 per unit 170 units 63 40 per unit Cost per Unit 620 units Cost of Goods Available for Sale Cost of Goods Available for Sale Units Sold at Retail 280 units 86 40 per unit 150 units 96 40 per unit 430 units Chec

3 Part 3 of 4 3 57 points eBook Print References 3 Compute the cost assigned to ending inventory using a FIFO b LIFO c weighted average and d specific identification For specific identification units sold include 75 units from beginning inventory 205 units from the March 5 purchase 55 units from the March 18 purchase and 95 units from the March 25 purchase Complete this question by entering your answers in the tabs below Perpetual FIFO Perpetual LIFO Totals Date March 1 March 5 March 18 March 25 Total Weighted Average Compute the cost assigned to ending inventory using specific identification For specific identification units sold include 75 units from beginning inventory 205 units from the March 5 purchase 55 units from the March 18 purchase and 95 units from the March 25 purchase Goods Available for Sale of units Specific Id 0 Cost per unit 620 units Cost of Goods Available for Sale Specific Identification 0 0 0 0 0 Cost of Goods Sold of units Cost per sold unit 0 Cost of Goods Sold 0 00 0 00 0 00 430 units 0 0 0 0 Ending Inventory Cost per unit of units in ending inventory 0 Ending Inventory 0 00 0 00 0 00 0 00 0 0 0 0 0 Subm Check my work

of 4 Book Print eferences Required information The following information applies to the questions displayed below Warnerwoods Company uses a perpetual inventory system It entered into the following purchases and sales transactions for March Date March 1 March 5 March 9 March 18 March 25 March 29 Activities Ending inventory Beginning inventory Purchase Sales Purchase Purchase Sales Totals 2 Compute the number of units in ending inventory units Units Acquired at Cost 120 units 51 40 per unit 235 units 56 40 per unit 95 units 61 40 per unit 170 units 63 40 per unit 620 units Units Sold at Retail 280 units 86 40 per unit 150 units 96 40 per unit 430 units

The weather in Los Angeles is dry most of the time but it can be quite rainy in the win The rainiest month of the year is February The following table presents the annual rain in Los Angeles in inches for each February from 1965 to 2006 0 2 3 7 1 2 13 7 1 5 0 1 8 9 1 9 8 9 8 0 12 7 8 0 4 6 0 7 4 4 3 2 11 0 0 1 2 8 4 9 Construct a stem and leaf plot for these data 0 6 3 1 1 5 0 1 2 4 0 2 0 5 0 3 6 6 0 0 5 5 4 1 0 7 7 9 3 5 6 1 1 7 3 1 2 6 4 9 1 3 0 1 a b Construct a histogram for these data C Construct a dotplot for these data d Construct a boxplot for these data Does the box plot show any outliers

3 4 What transformations of f x x are applied to result in the function 3 g x x 4

14 146 852 km Express your answer as an integer VAE O

Let s do a quick check if the strains at a particular points are x 6x10 3 y 2x10 Yxy 2x10 3 Yxz 4x10 3 and yyz 2x10 3 which of the matrices shown below does represent the state of strain at this point Please provide your answer in PlayPosit A B C 6 2 4 2 2 14 2x10 4 2 2 3 2 4 2 14 1 2 x10 4 2 11 6 1 2 1 2 1 x10 4 12 1 2

4 A carpenter buys 54 38 worth of parts from a supplier If he pays for the parts with a 100 bill how much change will he receive O A 55 72 O B 45 62 O C 56 72 O D 55 62

Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair Choose the correct answer below OA If there are only two colors of socks in the drawer then of any 3 chosen two must be the same color OB Regardless of the number of different colors of socks in the drawer one must only draw one more sock than the desired number of matching socks in order to get a matching set Therefore in order to get two matching socks one must draw only three from the drawer OC If there are only two colors of socks in the drawer then of any two chosen both must be the same color D It is not the case that one must draw only three socks to find a matching pair

Real GDP per capita in the years 1900 and 2021 are Real GDP Per Capita 2021 in 2010 61 830 Real GDP Per Capita 1900 in 2010 6 000 Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis Real GDP per capita increased times in the United States between 1900 and 2021 Enter your response rounded to one decir

Write inequalities to represent the situations below To get the 10 discount a shopper must spend no less than 200 Used to represent the spending in dollars of a shopper who gets the discount The distance to the nearest exit door is less than 100 feet Used to represent the distance in feet to the nearest exit door 0 0 0 020 X 0 0

17 Which of the following substances can be used to neutralize HF OA HF OB SO OC HCI OD NaOH