Linear Programming Questions and Answers

Perform the calculation using the correct order of operations 4 05 0 32 1888 17 13 1

UX If WX y 17 and TV y 26 what is the value of y W and T is the midpoint of T X

Use a graphing calculator to find an approximate solution to the equation 2ln 5x 1 1 2ln 5x 1

Sweeten Company had no jobs in progress at the beginning of the year and no beginning inventories It started completed and sold only two jobs during the year Job P and Job Q The company uses a plantwide predetermined overhead rate based on machine hours At the beginning of the year it estimated that 4 000 machine hours would be required for the period s estimated level of production Sweeten also estimated 28 600 of fixed manufacturing overhead cost for the coming period and variable manufacturing overhead of 2 60 per machine hour Because Sweeten has two manufacturing departments Molding and Fabrication it is considering replacing its plantwide overhead rate with departmental rates that would also be based on machine hours The company gathered the following additional information to enable calculating departmental overhead rates Estimated total machine hours used Estimated total fixed manufacturing overhead Molding Fabrication 2 500 1 500 16 350 3 10 12 250 2 30 Estimated variable manufacturing overhead per machine hour The direct materials cost direct labor cost and machine hours used for Jobs P and Q are as follows Direct materials Direct labor cost Actual machine hours used Molding Fabrication Job P 22 000 28 200 2 600 1 500 4 100 Job Q 12 500 11 100 1 700 1 800 3 500 Total 4 000 28 600 Total Sweeten Company had no overapplied or underapplied manufacturing overhead costs during the year Required For questions 1 8 assume that Sweeten Company uses a plantwide predetermined overhead rate with machine hours as the allocation base For questions 9 15 assume that the company uses predetermined departmental overhead rates with machine hours as the allocation base in both departments 5 What is the total manufacturing cost assigned to Job Q Do not round intermediate calculations

Decision Point Adjusting the PERT Network Flowchart Which of the following PERT network flowcharts would be correct Event A B C D Description Create outline Create product design Create content Code the application O Chart 2 Start O Chart 3 Finish

n designing any component or structure the engineer is concerned with two key factors What are those factors

Question 8 of 14 Current Attempt in Progress Saddle Inc has two types of handbags standard and custom direct labor costs The president has heard of activity based used Two activity cost pools were developed machining and operations Direct labor costs Machine hours Setup hours Standard 50 000 1 200 90 Custom 100 000 1 200 360

Consider the following homogeneous differential equation y dx 2 x y dy PRE Use the substitution x vy to write the given differential equation in terms of only y ar v dy y dv 2 vy y dy 112 320 602008 POPOTEAZ22 35 WEST WERDEN CAR SEOMMARE 24 12 20

55900 is invegted part of it at 10 and oart of it at 8 For a certain year the tolal yleld is 553400 How much was invested at each rate

Classify the triangle as acute right or obtuse Also classify it as equilateral isosceles or scalene Is this triangle acute right or obtuse O Right O Obtuse Acute 930 6 19 16

Can a triangle have angles of measures 85 and 100 Choose the correct answer below O A No The sum of the measures of the angles of any triangle is 90 Since the given angles sum to more than 90 such a triangle is not possible O B Yes The sum of the measures of the angles of any triangle is 360 Since the given angles sum to less than 360 such a triangle is possible O C Yes The sum of the measures of the angles of any triangle must be greater than 180 Since the given angle sum to more than 180 such a triangle is possible O D No The sum of the measures of the angles of any triangle is 180 Since the given angles sum to more than 180 such a triangle is not possible

The measure of one angle is shown in the figure Given k find the measures of the other seven labeled angles 23 4 3 52 5 6 8 7

Complete the problem by using the accompanying figure which shows a supply function and a demand function Assume price is measured in dollars P 40 30 20 10 10 20 30 40 50 60 a If the price is 22 what quantity is supplied x units b If the price is 22 what quantity is demanded X units 9 c Is there a surplus or a shortage when the price is 22 surplus shortage How many units is this surplus or shortage

Consider the following linear programming problem 5X1 3X2 X1 X2 20 Maximize Subject to X125 X2 10 X1 X2 20

Find the exact value of arccos sin SR 4 Write your answer in radians in terms of 0 8 Undefined J 0

Bridge on the eastern edge of Vermont dates from the mid 1800s The sides of the span are supported by a Haupt truss making it the only wooden bridge of its kind in Vermont and one of only three such bridges in the United States For Problems 1 5 use the graph 1 The design of a Haupt truss is based on parallelograms The graph shows two parallelograms in the truss Prove that figure A is a parallelogram by showing that its opposite sides are congruent 2 Each acute angle of the parallelogram measures 63 What is the measure of each obtuse angle Hint Opposite angles of a parallelogram are congruent 19dmyn munich 3 Parallelogram A is transformed to make part of the pattern of the truss Describe the transformation that moves parallelogram A to parallelogram B 4 To complete a section of the truss the set of parallelograms shown in the figure is reflected across the y axis Draw the completed section 5 Describe any symmetry in the completed section of the truss AY 4 2 A 2 0 226 B 2 4 Thetford 6 8 Was

To find the x intercept we Oset the y value 0 and solve for x set the x value 0 and solve for y set the y value 0 and solve for y O set the x value 0 and solve for x None of these

a b Use the labels on the diagram Which proportions below are true Select all that apply C a Y a b b I a b and c a c and d Oa c and e a b and e x y a Y X b x y b d e h I b X Y h h Y b y a

unit of measure is the milliliter mL When measuring volume in a Meniscus graduated cylinder pipet or buret place it on a flat surface and view the height of the liquid in the cylinder with your eyes directly level with the liquid see example at right This prevents making parallax reading errors The liquid will tend to curve downward due to superficial tension i e the curved interface between air and liquid This curve is called the meniscus Always read the measurement at the bottom of the meniscus The graduated cylinder will usually have larger markings that are numbered There are smaller markings in between the larger units called graduations not necessarily numbered as shown in the figure The number of graduations between numbered markings determines the least count It is important to determine the least count before you start measuring To find the least count subtract the values of any two adjacent labeled graduations and divide by the number of intervals between them For example a Subtract the values of two adjacent labeled graduations 15 mL 10 mL 5 mL b Divide the previous number by the number of intervals between the two adjacent labeled graduations 5 mL 5 1 mL Therefore each graduation i e the least count of the cylinder is 1 mL ME 3113 Laboratory Assignment 1 Measurement Devices Page 3 There are three graduated cylinders shown in the picture at right The graduated cylinder on the far left has scale markings that are 0 1 mL apart so it can be read to the nearest 0 1 mL Hence we can estimate a volume of 5 75 ml 0 05 ml note that 0 05 mL in 5 75 mL constitutes the estimated digit and 0 05 mL is the uncertainty which was calculated as half of the smallest division of the scale of the measurement device 0 1 mL 2 0 05 mL Based on this example what is the measurement of volume in the center and rightmost graduated cylinders shown in the picture assuming each scale is in ml 10 points Center cylinder volume 10 points Rightmost cylinder volume 15

Solve the following linear programming pro Maximize z 7x 4y subject to 3x y 16 2x y 14 x 5 y 8

All legislative Powers herein granted shall be vested in a Congress of the United States which shall consist of a Senate and House of Representatives The Meaning The framers of the Constitution separated the powers of government into three branches granting legislative power the power to pass laws to Congress executive power the power to administer the laws to the president and judicial power the power to interpret and enforce the laws to the courts The unique and limited powers of Congress are contained in Article I The framers believed that this separation of powers would ensure that no one person or group of persons would be able to create administer and enforce the laws and that each branch would be a check on the power of the other two branches Under this scheme Congress cannot give its lawmaking powers to the executive or judicial branch The courts are charged with ensuring that the three branches act independently and do not overreach their delegated powers But in some instances two branches of government are required to work together For example the Senate must approve the president s appointments to the U S Supreme Court and the president has the power to veto acts of Congress or to pardon convicted criminals Another important principle is contained in Article 1 Section 1 The federal government s power is limited to what is written in the Constitution These are known as enumerated powers If the Constitution does not specifically give a power to the federal government the power is left to the states Article I Section 1 also requires that Congress be bicameral that is it should be divided into two houses the Senate and the House of Representatives At the time the Constitution was adopted several states and the Continental Congress had only one lawmaking body The creation of two legislative bodies reflected a compromise between the power of the states and the power of the people The number of seats in the House of Representatives is based on population The larger and more urban states have more representatives than the more rural less populated states But the Senate gives power to the states equally with two senators from each state To become law any proposed legislation must be passed by both the House and the Senate and be approved or at least not vetoed by the president

If the point 7 3 is on the graph of an equation in x and y then the equation is satisfied when we replace x by Is the point 7 3 on the graph of the equation 7y x 15 Yes No and y by

When watching the replay you noticed the meter marks on the track Recall that Usain reaches his maximum speed when he passes the 43 meter mark on the track R 10 Speed in meters per second is ONot enough information 20 30 40 50 60 70 Click here to watch Usain run c Do you now have enough information to determine Usain s top speed ONo knowing the distance Usain has run is not enough information to determine his top speed OYes it s possible to determine Usain s top speed based on this new information d If you answered yes to part a enter Usain s max speed below in meters per second If you answered no select Not enough information 80 90 100 Fate list of methamatical expressions

Use the accompanying figure to write each vector listed as a linear combination of u and V Vectors c w y and z Write c as a linear combination of u and v Type integers or decimals V 2v b B W 2v de NT

Susan and Jim each own a lawn care business The amount Susan charges for lawn care by the hour is shown in the table The amount Jim charges for lawn care by the hour is shown in the graph Susan s Lawn Care 40 Number of Hours Worked 2 3 7 11 Amount Charged dollars 48 72 168 264 Amount Charged dollars 140 120 100 80 60 40 20 0 Jim s Lawn Care 1 2 3 4 5 6 Number of Hours Worked What is the difference between Susan s and Jim s lawn care businesses in the amounts they charge for 10 hours of work CA 16 OB 20 LOC 28

Listen Two artists make winter yard ornaments They get 97 for each wooden snowman they make and 77 for each wooden Santa Claus On average Nina must work 4 hours and Roberta 3 hours to make a snowman Nina must work 2 hours and Roberta 4 hours to make a Santa Claus If neither wishes to work more than 20 hours per week how many of each ornament should they make each week to maximize their income 5 snowmen an no ornaments of Santa Claus 485 3 snowmen an 4 ornaments of Santa Claus 19 4 snowmen an 3 ornaments of Santa Claus 19 4 snowmen an 2 ornaments of Santa Claus 542 2 snowmen an 5 ornaments of Santa Claus 23

ying red maple tree growth in a state park She measured the trunk diameters of a sample of trees in the same month every other year The tables show the data for two of the trees Tree 1 Year 1 3 5 7 9 11 13 Trunk Diameter inches 18 6 19 2 19 8 20 4 21 0 21 6 22 2 Year 1 3 5 7 Tree 2 9 11 13 Trunk Diameter inches 11 4 12 0 12 6 13 2 13 8 14 4 15 0 This is the final year in which she will collect data When her data collection is complete she will predict future red maple tree growth Formula Sheet The scientist creates an equation that models he data for each tree so that she can predict the diameter in the future Complete a linear equatio that fits the data for tree 1 where x is the year a y is the trunk diameter in inches Click on the variables and number you want to select and drag them into the boxes y 0 6 18 0 Equation for Tree 1 0 3 A Calculator Referenc 18 3 0 3 18 6 0 6 X

The graph of an exponential function f x with base a is shown to the right a is a 1 or is 0 a 1 b Give the domain and range of f c Sketch the graph of g x a 2 d Give the domain and range of g e Sketch the graph of h x a 4 f Give the domain and range of h a Since the graph shows exponential 1 a 0 1 the values of a are in the range f x a Q 53

Claim The mean systolic blood pressure of all healthy adults is less than than 118 mm Hg Sample data For 270 healthy adults the mean systolic blood pressure level is 117 77 mm Hg and the standard deviation is 14 85 mm Hg The null and alternative hypotheses are Ho 118 and H 118 Find the value of the test statistic The value of the test statistic is Round to two decimal places as needed ave

Problem ID PRABMQ2D Which polynomial function has zeros when x 5 3 7 A f x x 5 2x 3 x 7 B f x x 5 3x 2 x 7 C f x x 5 2x 3 x 7 D f x x 5 3x 2 x 7 2019 Illustrative Mathematics All Rights Reserved Select one OA OB Oc

15 Sketch a graph of y x 2 3 Pg What are the coordinates of the vertex

A marble is drawn from a box containing 4 yellow 5 white and 18 blue marbles Find the odds in favor of drawing the following a A yellow marble b A blue marble c A white marble a In reduced form the odds in favor of drawing a yellow marble are to

Parallelogram GRAM in the coordinate plane has vertices G 0 0 R 6 0 and A 9 4 What are the coordinates of vertex M OA B C D A M 0 4 B M 3 4 C M 9 4 D M 9 3

The relationship between the postage rate and the weight of a letter can be defined by a piecewise function The graph shows the 2018 postage rates for using regular service to mail a letter K w Kiran and Mai wrote some rules to represent the postage function but each of them made some errors Kiran 0 25 0 50 0 71 0 92 1 13 asi 15 2 25 3 3 5 4 weight founcest 0 w 1 1 w 2 2 w 3 3w 3 5 M w Identify the error in each person s work 4 points Write a corrected set of rules for the postage rates shown in the graph 4 points Mai 0 50 0w 1 0 71 1 w 2 0 92 2w 3 1 13 3w 3 5

Under 22 TAC Section 535 16 what must a real estate license holder provide on a property when negotiating a listing or when offering to purchase property for herself OA Ayard sign B Brochures to advertise the property C A broker price opinion BPO or comparative market analysis CMA D A lock box

State the linear programming problem in mathematical terms identifying the objective function and the constraints A car repair shop blends oil from two suppliers Supplier I can supply at most 40 gal with 4 detergent Supplier II can supply at most 73 gal with 3 2 detergent How much can be ordere each to get at most 100 gal of oil with maximum detergent OA Maximize 0 040x 0 032y Subject to 0 x 40 0sys73 x y 100 OC Maximize 40x 73y Subject to x 40 y 73 0 040x 0 032y 100 B Maximize 0 032x 0 04y Subject to x 40 ys73 x y 100 OD Maximize 40x 73y Subject to x240 y273 0 040x 0 032yz 100

Greg and Tammy are working together on a linear programming problem Greg insists that once they find all of the corner points they will be able to both maximize and minimize the given objecti function while Tammy correctly insists that is not necessarily true Complete parts a and b below a Which graph below helps support Tammy s answer OA 0 3 2 0 5 Tammy correct because some regions are E ALLE OB Ay 0 8 0 4 4 0 and therefore do not necessarily have a minimum or a maximum Submit quiz 8 0

e graphical methods to solve the linear programming problem aximize z 8x 12y subject to 40x 80y 560 6x 8y 72 x20 and y 20 OA Maximum of 100 when x 8 and y 3 OB Maximum of 92 when x 4 and y 5 OC Maximum of 120 when x 3 and y 8 OD Maximum of 96 when x 9 and y 2

Find the maximum and minimum values of the given objective function of a linear programming problem The figure illustrates the graph of the feasible points z x 5y The maximum value of z is z 0 6 0 3 5 6 4 0 and it occurs at the point x y 5 2 N

Solve the following linear programming problem z 2x 9y 6x 5y 30 10x y 30 x 0 y 20 Maximize subject to

operation if possible 5 6 9 9 3 0 49 4 1 4 Select the correct choice below and fill in any answer boxes present in your c OA The resulting matrix is OB The resulting matrix does not exist because the operation is not possi

Solve the following problem with the Euler method 2 frac d 2 y d x 2 3 frac d y d x 3 125 y sin x where y 0 5 and y 0 3 Solve from x 0 to 5 with h 0 5 Find the error considering the exact solution is y x e 0 75 x 5 292237 cos x 6 859589 sin x 0 292237 cos x 0 109589 sin x Display the analytical and numerical results on the same graph

Write a page about Irreducibility tests The definition and the properties and some example

When no more than 110 units are produced the cost of producing y units is given by C x C x 0 2x 24x 1502x 32 191 How many units should be produced in order to have the lowest possible average cost units should be produced Round to one decimal place as needed

If you deposit 20 000 into an account earning an interest rate of 1 4 how mu will you have in the account after 4 years Round to the nearest whole number

Gil Hennesey invested 8 000 in the Adrian Utility Mutual Fund Type A which has a net asset value of 19 50 The fund is front loaded with a loading rate of 4 50 a What is the loading charge b How many shares did Gil buy

Two cyclists 36 miles apart start riding toward each other at the same time One cycles 2 times as fast as the other If they meet 2 hours later what is the speed in mi h of the faster cyclist a Write an equation using the information as it is given above that can be solved to answer this problem Use the variable r to represent the speed of the slower cyclist b What is the speed of the faster cyclist mi hr

A company manufactures two types of leaf blowers an electric Turbo model and a gas powered Tornado model The company s production plan calls for the production of at least 750 blowers per month It costs 78 to produce each Turbo model and 117 to manufacture each Tornado model and the company has at most 72 540 per month to use for production Find the number of units that should be produced to maximize profit for the company and the maximum profit if the profit on each Turbo model is 32 and the profit on each Tornado model is 35 Select the correct choice below and fill in any answer boxes within your choice OA The maximum value is f at all points on the line segment from the point Type integers or decimals Type ordered pairs by producing OB The maximum value is f Type integers or decimals units of the Turbo model and on the left to the point on the right units of the Tornado model COED

In Geogebra create quadrilateral DABCD with A 5 0 B 5 0 C 2 4 and D 2 4 Show the image under the following translations and stylize them in the given colors a T x y x 4 y 3 in RED b Reflection in the line y 5 in BLUE

The Lax Wendroff Scheme Assume the hyperbolic equation frac partial u partial t a frac partial u partial x 0 a Develop the Lax Wendroff scheme for solving 3 b Find the truncation error for the LW scheme c Prove that the scheme is stable for ht a 1 hx and find the expression for the amplification factor X