Linear Programming Questions and Answers

Graph the feasible region for the follow system of inequalities by drawing a polygon around the feasible region Click to set the corner points 1 7y42 5z 3y 50 0 0 4 I 10 696 8 IS 6 La Y 444 3 2 TH

Graph y 2x 2 ly x 1 5 4 3 2 1 4 3 2 1 1 2 3 Clear All Draw 4 In

Graph x 2y 6 I 2x 3y 26 4 6 5 4 3 2 1 7 6 5 4 3 2 1 1 2 3 5 6 7 1 2 on A 5 6

3 Express the following fractions as a re peated decimal fraction a Write the numbers in increasing order b Write the numbers a 0 536 b 0 499 c 0 509 d 0 decreasing order

make sure the function is in canonical form and convert it first in minterm notation d X Z XZ XY Z e XZ W XY WXY W YZ WY Z 8 37 PM

Find the optimum strategies for player A and player B in the following game Find the value of the game Be sure to look for a saddle point first 71 24 Find the optimum strategy for player B Choose the correct answer below and fill in the answer box es to complete your choice OA The game is not strictly determined Player B should choose column 1 with probability with probability Type integers or simplified fractions B The game is strictly determined Player B should choose column Type a whole number The value of the game is and column 2

Fill out the black to make the given table below a probability distribution x 0 1 2 3 P x

Unit 2 6 AKS 4a List the characteristics of the function f x x 1 graph shown below Domain o Range Positive 2 End Behavior x y x y Negative Decreasing Increasing S Axis of Symmetry 97 AKS 4d 4e What is are the solution s to the following equation x 9 49 0 8 AKS 4d 4e 4g Two scuba divers are underwater and are trying to swim back to the surface The first diver s ascent can be modeled by the equation f x x 6x 16 and the second diver s ascent can be modeled by the equation g x x 25 If our x value represents time in seconds and our y value represents height in feet which one of the divers will reach the surface first and at what time

Cash flows from used for operating activities indirect method Staley Inc reported the following data Net income Depreciation expense Loss on disposal of equipment Increase in accounts receivable Increase in accounts payable 405 200 81 750 22 300 11 000 4 710 Prepare the Cash flows from used for operating activities section of the statement of cash flows using the indirect method Use the minus sign to indicate cash out flows cash payments decreases in cash any negative adjustments Staley Inc Statement of Cash Flows partial Line Item Description Cash flows from used for operating activities Net income Adjustments to reconcile net income to net cash flows from used for operating activities Depreciation Loss on disposal of equipment Changes in current operating assets and liabilities Increase in accounts receivable V Amount 405 200 81 750 22 300 2 000 X Amount

Nuria recorded the number of words in a sentence in one chapter of her favourite book The results are shown in the table Number of words x Frequency 0x 4 5 8x12 12x16 16x20 20x24 24x28 28x32 32 41 28 22 12 7 3 a Construct a cumulative frequency lable for this data EO b Sketch the cumulative frequency curve Use your graph to find estimates for the median and interquartile range d Determine whether there are any outliers Find the 90th percentile f The smallest sentence had 1 word and the longest sentence had 31 words Draw a box and whisker plot to represent this data g A children s book has on average 8 words in a sentente and an adult book has on average 15 words in a sentence State the type of book you think Nuria is 201

0 10 pts 399 Details 3 2 Ay 6 5 4 2 1 2 00 y tan x 16 The graph above is a graph of what function Oy sin x Oy cot x Oy csc x Oy cos x Oy sec x O

Complete the truth table for the given statement by filling in the required columns pv q P T T F F O 1 2 P T T F F P T T 9 T F T F 9 T F T F 9 T F ET q q F T F T q F PV q C pv q T T F F PV q F T C

An investor is presented with a choice of two investments an established furniture store and a new book store Each choice requires the same initial investment and each produces a continuous income stream of 4 compounded continuously The rate of flow of income from the furniture store is f t 14 000 and the rate of flow of income from the book store is expected to be g t 12 000 0 05t Compare the future values of these investments to determine which is the better choice over the next 4 years The future value of the furniture store is Round to the nearest dollar as needed SCOXS

The economist for the City of San Francisco uses ticket sales data to estimate that the absolute value of the price elasticity of demand for the city s public transportation system is 0 4 The city council proposes a 5 increase in the price of a transit ticket to increase educational funding If the proposition passes the change in quantity demand for transit tickets will be revenue from ticket sales will and total O 5 fall 2 fall 2 rise O 5 rise

Simplify 3 7 18 7 25 7 y1 4 3 4 y 1 4 3 7 18 18 7 25 7 1 4 3 4 y 1 4 Simplify your answer Use positive exponents only

10 Use the method of separation of variables find the general explicit solution to the differential equation dy 5 ln x dx xy

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle What is the area of the largest possible Norman window with a perimeter of 26 feet Answer square feet Round your answer to the nearest tenth as needed

Flexsteel Industries manufactures furniture for the retail contract and recreational vehicle furniture markets The company is considering the purchase of a new piece of equipment which would have an initial cost of 521 000 a 7 year life and 150 000 salvage value The increase in cash flow each year of the equipment s life would be as follows Year 1 Year 2 Year 3 Year 4 106 000 98 000 96 000 85 000 Year 5 82 000 Year 6 77 000 Year 7 71 000 What is the payback period

ahaan od bipow lehoren to 150l stoup c Simplify 3a 3b 7 3a 5b 6 5b 2041 21 sonswolla in da list

b Leia had travelled 1626 kilometers by car and by plane within 4 hours and 30 minutes She drove to the airport by car at an average speed of 90 kilometers per hour Then in the air the plane averaged 534 kilometers per hour Determine the time taken by Leia to drive to the airport

7 9 B E C are the mid points of the sides AP PQ QA of AAPQ If a b c are the position vectors of the points A B C prove that the position vectors of P Q R are 2b a 2c a b c a respectively B

Find the value of a in the vector a b if b 36 and 39 is in Quadrant I

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A B 18 oldu una g re bu e itli i sa layan ka tane A ikilisi vard r

0 10 pts 399 Details Write the following sum as a single logarithm Assume all variables are positive log3 c log3 c 3 The answer format in lowercase characters is log base number

0 10 pts 399 Details Simplify the following into a single logarithm 5 log 4 3 log x Olog 5 4 3x 45 Olog 5 Olog 5 4 x 3 Olog 45 O log 534

4 Answer the questions for the rooted tree 1 point each m h n P a Find the children of d b Find the parent of h c Find the descendants of c d Find the ancestors of j e Find the siblings of f f Find the terminal vertices

4 For each equation identify the slope and y intercept of its graph a y 4x 7 4 c y x 7 1 e y 5x b y x 12 d y 11x f y 3 3 8

Find the chromatic number of each of the graphs given below

Estimate the percentages a 50 of 7 985 3992 5 b 33 of 2 100 33 70000

5 There are restrictions on free speech because otherwise people or their reputations might be harmed What is this Argument O Not an argument O No answer text provided O No answer text provided

Assignment 2 3 points Let G be a connected planar graph Show that there is a vertex in G wit degree strictly less than 6

An incompressible fluid of kinematic viscosity v p 10 4 m s flows steadily through a circular pipe of diameter d 10 cm The pipe flow is fully developed a If the average velocity V is 2 m s is the flow laminar or turbulent What is the value of the friction factor f b If the pipe is perfectly smooth on its internal surface and V is 20 m s the pipe flow is turbulent double check yourself Evaluate its friction factor using the Moody chart below c Repeat c by numerically solving the Colebrook formula using for example Matlab Attach the source code you used d Suppose that the pipe internal surface is rough Also suppose that increasing V up to 200 m s yields no change in the value of f found in a Determine the relative roughness e d using the Colebrook formula Friction Factor 0 1 0 09 0 08 0 07 0 06 0 05 0 04 0 03 0 02 0 015 0 01 Laminar Flow 64 HE Re rrrr Material Concrete coarse Concrete new smooth Drawn tubing Glass Plastic Perspex Iron cast Sewers old Steel mortar lined Steel rusted Steel structural or forged 0 025 Water mains old 1 0 HHH 103 mm 0 25 0 025 0 0025 0 0025 0 15 3 0 0 1 0 5 104 Moody Diagram Transition Region Complete Turbulence Friction Factor 105 2d PV21 106 Reynolds Number Re pVd l Smooth Pipe 107 0 05 0 04 0 03 0 02 0 015 0 01 0 005 0 002 0 001 5x10 4 2x10 4 10 4 5x10 5 10 5 5x10 6 10 6 108 Relative Pipe Roughness

Use the method of this section to solve the linear programming problem Minimize C x 2y subject to 4x 7y 48 2x y 20 x 0 y 0 The minimum is C 0 xat x y 0 0 X

aph the equation on paper and then choose the correct graph 0 4 5 x Choose the correct graph on the right O A O C Q Q OB OD

Express the given complex number in polar and rectangular forms 90 0e 70j What is the polar form of the given number CLE Use integers or decimals for any numbers in the expression Round to one decimal place as needed Type your answer in degrees Use angle measures greater than or equal What is the rectangular form of the given number Use integers or decimals for any numbers in the expression Round to two decimal places as needed

Tristan tried his luck with the lottery He can win 75 if he can correctly choose the 3 numbers drawn If order doesn t matter and there are 12 numbers in the drawing how many different ways could the winning numbers be drawn

2 In constructing a new road the design estimates the following areas for earthwork by the stations provided 6 points STA Area ft 119 00 0 120 00 120 121 00 224 122 00 325 123 00 450 124 00 362 125 00 0 The cost for extracting the soil is 20 per cubic yd and moving the soil is 5 per cubic yd Determine the total cost to extract and move the estimated volume of earth

Q5 find the characteristics of parameter unbiase ECB 8 variance Var i Oras I X FR

Use the formula in this example to determine the sample size n The estimated prevalence is 25 and the desired confidence level is 95 with a margin of error of 2 This is the same as in the example except the margin of error has been changed Round your answer to the nearest integer n

A normal distribution has a mean of 85 9 and a standard deviation of 4 83 Find the data value corresponding to the value of z given Enter your answer to four decimal places z 2 75

What percent of the total population is found between the mean and the z score given Use the standard normal distribution table and enter your answer to two decimal places Z 1 9 0

Vertical and horizontal pressure gradients in hydrostatic equilibrium At height z 800m the pressure is 950hPa The top heights and the densities at the centers of the layers at horizontal positions x 1km and x 2km are given in table 1 Assume the density to be constant within each layer 2 1 Calculate the pressure difference between top and bottom of each layer and calculate the resulting pressure at layer boundaries of each layer

Maximize z 2x x 3x3 subject to 2x x 3x3 6 x 3x 5x3 10 2x1 X3 7

The table of ordered pairs x y gives an exponential function Write an equation for the function X 1 0 1 y 3 6 12 2 24 0 0 DO 0 08

Find s t where s t represents the position function and v t represents the velocity function v t 18t s 0 10 s t

n 6 of 13 Assume that sin x and sin y 5 sin x y I where x and 2 3 y 2n Calculate the indicated function value sin x y Give an exact answer Use symbolic notation and fractions where needed

Find the mean the median and the mode of the following salaries of employees of the Moe D Lawn Landscaping Company If an answer does not exist enter DNE mean 26700 median 23500 mode 21000 Salary 21 000 26 000 30 000 45 000 x Frequency 4 3 2 1

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 val 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 23 6 4 5 579 4555 13456 0 0

Find the mean the median and the mode of the following salaries of employees of the Moe D Lawn Landscaping Company If an answer does not exist enter DNE mean median mode Salary 21 000 26 000 30 000 45 000 bis Frequency 4 3 2 1