Linear Programming Questions and Answers

29 of Which one of the following is NOT a typical expense covered by Medical Payment Coverage under the Personal Auto Policy 50 lost wages due to bodily injury funeral expense related to bodily injury medical services provided due to bodily injury ambulance transportation

On your birthday your rich uncle gave you 19000 You would like to invest at least 2000 of the money in municipal bonds yielding 4 and no more than 4000 in Treasury bills yielding 7 How much should be placed in each investment in order to maximize the interest earned in one year Assume simple interest applies Let x represent the amount of money in municipal bonds and y represent the amount of money in Treasury bills Answer Enter the value in the first box and the ordered pair in the second box Maximum income of S Maximum income at Keypad Keyboard Shortcut

Find the minimum and maximum values of the objective function and the points at which these values occur subject to the given constraints Answer Enter the value in the first box and the ordered pair in the second box in each row Minimum Value Objective Function Constraints f x y 3x 4y Minimum Value Occurs At X 0 y 0 x y 8 Maximum Value Maximum Valuo Or

According to source A All the following are true except Cost of to incarcerate a juvenile for one year is 88 000 00 O Increased graduation rates would cause murder and assaults to decrease by 20 Auto theft would decrease by as much as 10 O It only cost 9 644 00 to educate a juvenile

The function g x x 4 3 is restricted to the domain graph represents the inverse function of g x A

Venn diagrams to determine ther the following statements are equal for all sets A B and C AUB n BUC BU ANC the statements equal for all sets A B and C No Yes Cam GEXE 11 111 IV V VI VII

10 Parent function f x x is translated 2 units to the left and reflected across the x axis to result in function g 6 A Write an equation for g B f is graphed below Graph g 2 0 2 2

Consider a continuous function f x defined on the closed interval a b where a b Prove that if f x is integrable on a b and f x is non negative for all x in a b then the definite integral of f x from a to b is greater than or equal to zero

Use graphical methods to solve the following linear programming problem Maximize z 3x y subject to x y 4 3x 5y 45 x20 y 20 Graph the feasible region using the graphing tool to the right Click to enlarge graph 10 8 6 2 FN 2 6 00 8 10 12

Find m QPR 131 40 220 102 Q R 26x 2 P V S 18x 1

3 Simplify without a calculator if possible Show your work a 4 b 8 c 16 a d 419 e 27

Find the rectangular coordinates of the point that has polar coordinates Rectangular coordinates D 8 6 3 7 7H 6

der the parametric equations below Assume that I can be any real number x 3t 3 y t 2 Complete the following a Fill in the table using the given parametric equations t Okt 1 0 1 2 3 10 8 64 b Choose the graph of the given parametric equations Graph 1 10 4 2 4 6 10 Graph 3 10 8 3 6 44 2 x 8 10 0 0 0 Ok 10 8 6 4 10 8 6 4 24 Graph 2 15 y 0 0 0 0 Graph 4 0 8 10

1 point The value V in dollars of a 1 year old computer is given by the function V I 600 1 1 the purchase price of the computer b 800 600 C 500 d 1100 500 V

Assume r varies jointly with x and y What is r when x 8 and y 1 25

Question 9 7 3 16 Part 2 of 4 zookeeper has a walrus with a nutritional deficiency She wants to make sure the onsumes at least 2200 mg of iron 2700 mg of vitamin B 1 and 1800 mg of vitamin B Maxivite pill contains 200 mg of iron 200 mg of vitamin B 1 and 100 mg of vitamin B osts 0 08 One Healthovite pill provides 100 mg of iron 150 mg of vitamin B 1 and 15 f vitamin B 2 and costs 0 09 Complete parts a c below a What combination of Maxivite and Healthovite pills will meet the walrus s requir t lowest cost What is the lowest cost Minimize ubject to HW Score 72 59 6 53 of 9 points Points 0 53 of 1 et up the linear programming problem Let m represent the number of Maxivite pil present the number of Healthovite pills and c represent the total cost in dollars c 0 08m 0 09h 200m 100h 22200 200m 150h z 2700 1800 100m 150h m20 h 20 Jse integers or decimals for any numbers in the expressions Do not include the your answers he best combination of pills that meets the walrus s nutritional requirements is Maxivite pill s and Healthovite pill s at the lowest cost of s Type integers or decimals

Question 6 7 3 13 LS Part 1 of 3 HW Score 72 59 6 53 of 9 points O Points 0 of 1 patient takes vitamin pills Each day he must have at least 420 IU of vitamin A amin B and 40 mg of vitamin C He can choose between pill 1 which contai amin A 1 mg of vitamin B and 5 mg of vitamin C and pill 2 which contains amin A 1 mg of vitamin B and 25 mg of vitamin C Pill 1 costs 20c and pill 2 mplete parts a and b below How many of each pill should he buy in order to minimize his cost What is nimum cost should buy of pill 1 and of pill 2 The minimum cost is mplify your answers Type integers or decimals

A company produces handmade shawls and afghans They spin the yam dye it and then weave it A shawl requires 1 hour of spinning 1 hour of dyeing and 1 hour of weaving An afghan requ 1 hour of spinning 4 hours of dyeing and 2 hours of weaving There are at most 7 hours available each day for spinning 18 hours for dyeing and 10 hours for weaving Complete parts a throu below a Complete the following table Number Hours Spinning Hours Dyeing Shawls Afghans y 1 4 2 S7 18 10 X 1 Maximum Number of Hours Available 7 18 10 1 Hours Weaving 1 Type integers or decimals b Set up a system of inequalities and graph the feasible region Use the table to write a system of inequalities x20 y20 Simplify your answers Use integers or decimals for any numbers in the expressions CCC

3 3 3 3 Drag each expression to SHOW 4 4 4 DRAG AND PROP ITEMS 4x 4x4 34 3 3 3 3 alerging you 3 3 3 3 4 4 4 4 4 DRAG AND DROP ITEMS HERE CLEAR None DRAG AND DROP ITEM

An experiment involving learning in animals requires placing white mice and rabbits into separate controlled environments environment I and environment II The maximum amount of time available in environment I is 420 minutes and the maximum amount of time available in environment II is 624 minutes The white mice must spend 10 minutes in environment I and 24 minutes in environment II and the rabbits must spend 12 minutes in environment I and 16 minutes in environment II Find the maximum possible number of animals that can be used in the experiment and find the number of white mice and the number of rabbits that can be used number of animals number of white mice number of rabbits

The Janie Gioffre Drapery Company makes three types of draperies at two different locations At location I it can make 10 pairs of deluxe drapes 20 pairs of better drapes and 13 pairs of standard drapes per day At location II it can make 20 pairs of deluxe 50 pairs of better and 6 pairs of standard per day The company has orders for 1000 pairs of deluxe drapes 2100 pairs of better drapes and 600 pairs of standard drapes If the daily costs are 650 per day at location I and 850 per day at location II how many days should Janie schedule at each location to fill the orders at minimum cost location I location II Find the minimum cost days days

2 1 2 Solve the inequality for y When graphing the inequality the corresponding line will be Select line with a Select Bat the point x y Use 0 0 as a test point to determine whether the shaded half plane includes the test point The shaded region Select Graph the inequality O Solution 10 14 4 14 19 12 H 4 23 1 10 35 Fil Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties 0

The graph of the feasible region is shown g 2x 8y x y x y 3x y 60 x y 4x 10y 280 Find the corners of the feasible region Order your answers from smallest to largest x then from smallest to largest y x y x y 40 x Find the maximum and minimum of the given objective function if they exist If an answer does not exist enter DNE maximum 9 minimum g

only 800 work hours to use in manufacturing each day and the packaging department can package only 200 trimmers per day a Write the inequalities that describe the constraints on the number of each type of hedge trimmer produced Let x represent the number of cord type models and let y represent the number of cordless models packaging constraint X20 y 20 production constraint cord type production constraint cordless b Graph the region determined by these constraint inequalities VOD Ho Solution 400 300 200 manufacturing constraint 100 W Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties

6 You need to traverse city blocks in shown as the grid below Assume that you don t back track and hence all motion is either upwards U and rightwards R a How many paths are there between S and F b How many paths are there if you must stop at the depot at D c How many paths are there if you avoid the depot d Confirm that the sum of paths through a and y equals your answer in c S R B D F

1 point Six coins are tossed Find the probability of at least 4 heads

The following graph has a Hamilton circuit starting at vertex E True False A E

Write an equation of the circle with center 7 4 and radius 9

Which of the following is a correct statement about the 19th Amendment which was ratified in 1920 O The 19th Amendment gave former slaves the right to vote The 19th Amendment gave women the the right to vote O The 19th Amendment ended the use of the Black Codes in the South The 19th Amendment gave people of color the right to vote

Solve the linear programming problem If there is no solution enter NO SOLUTION z 3x y Maximize Subject to x y 186 5x y 230 y 45 x y 0 The maximum value of z is x y at

Graph the feasible region for the given system of inequalities x 3y 12 3x y 12 x20 y20 Question 12 of 22 www Click to enlarge graph Use the graphing tool on the right to graph the system of inequalities Next question 10 This question 1p 18 di di

X1 2X ax3 1 2X1 ax 8X3 3 x 2y 32 1 2x y 22 2 3x 4z 0 Find the linear equation System According to Parameter a Find the linear equation system solution Use Gauss Jordan method

Set up the simplex matrix used to solve the linear programming problem Assume all variables are nonnegative Maximize f 7x 5y subject to 2x 7y 400 x 8y 225

K es Exercise 12 2A Algo Use the indirect method to determine cash flows from operating activities LO 12 1 Alfonza Incorporated presents its statement of cash flows using the Indirect method The following accounts and corresponding balances were drawn from the company s Year 2 and Year 1 year end balance sheets Account Title Year 2 Accounts receivable 12 400 Accounts payable 8 650 The Year 2 Income statement showed net Income of 25 800 Year 1 19 200 10 900 Required a Prepare the operating activities section of the statement of cash flows Amounts to be deducted should be Indicated with a minus sign Cash flows from operating activities

Select all correct solutions to the systems of inequalities 4x 3y 9 x 3y 6

5 An eight sided die has the numbers 1 through 8 on its eight faces What is the expected value when rolling the die 6 A bag has 8 red tiles and 2 green tiles In a charity carnival game you pay 5 to randomly pull a file from the bag The payout for pulling a red tile is 1 and the payout for pulling a green tile is 10 What is the expected payoff per game for the player What is the expected payoff per game for the charity

A company s lawn seed mixtures contain three types of seeds bluegrass rye and Bermuda The costs per pound of the three types are 9 cents 11 cents and 3 cents respectively In each batch there must be at least 25 bluegrass seed and the amount of Bermuda must be no more than two thirds the amount of rye To fill current orders the company must make at least 6000 pounds of the mixture How much of each kind of seed should be used to minimize cost The minimum cost of Soccurs with a mixture of pounds of bluegrass seed pounds of rye seed and pounds of Bermuda seed Simplify your answers Do not include the symbol in your answers

DETAILS Find the rectangular coordinates for the point whose polar coordinates are given 9 57 DETAILS 1 Find the rectangular coordinates for the point whose polar coordinates are given x y

6 Find the value of z if the area under a standard normal curve a to the right of z is 0 3622 I

2 After 10 days 95 of a radioactive material has decayed a What is the half life of the material 2 marks matorial left 2 marks

Choose all that apply Angelica strives to submit all her assignments on time however last week she overslept and missed an important deadline Angelica strives to submit all her assignments on time however last week she overslept and missed an important deadline Julia has two jobs two children and five difficult classes consequently she often misses her deadlines

2 Write each power with only positive exponents a x b c m 4 d b3 xb2

A biologist has an 892 gram sample of a radioactive substance Find the mass of the sample after three hours if it decreases according to a continuou exponential decay model at a relative rate of 18 per hour Do not round any intermediate computations and round your answer to the nearest tenth grams X

An airline is planning its staffing needs for the next year If a new route is approved it will hire 881 new employ a new route is not granted it will hire only 111 new employees If the probability that a new route will be granted is 0 36 what is the expected number of new employees to be hired by the airline The expected number of new employees to be hired is 2 5 Round to the nearest whole number

tion A function f x satisfies f 3 8 7 5 and f 3 8 6 1 What is the equation of the tangent line of f x at x O a y 6 1x 45 68 O b y 6 1x 38 18 O c y 6 1x 60 68 O d y 6 1x 21 82 O e y 6 1x 15 68

At the beginning of an experimen Fernved to 75 or

For the description below choose a variable name for the given quantity Give two numbers that the variable can represent and two numbers that it cannot represent The height in inches of a bookcase OD T Choose two numbers that the variable for the height in inches of a bookcase can represent from the following list Choose all that apply A 63 B 70 C 70 it im

son com Student PlayerHom Fosas y cavidades C he 22784 12 4 Homework

The temperature of the water in a Choose the correct answer below OA You could dress warmly a OB You could ice fish OC You could swim in the lak

Which of the conditional statements below are contrapositives of the implication x 1 is even only if x is odd Select ALL that applies Hint An integer is either even or odd x is even if x 1 is odd If x 1 is not even then x is not odd x 1 is odd when x is even x 1 is even follows from the fact that x is odd If x is odd then x 1 is even O x 1 is not even if x is not odd