Linear Programming Questions and Answers

Consider the following scenario based on your personal circumstance and if you do not have a car or you do not know much about your car do a little research on the Internet about cars and gas mileage to help you understand the scenario Also consider other factors e g personal finances time gas tank size etc that may influence your decision Scenaria You need gas for your car and just as you are approaching where you normally get gas the radio station announces that the CheapGas station four miles away is selling gas 0 37 per gallon cheaper Would you travel the four miles to CheapGas to save money In addition to a definitive yes or no answer provide the mathematical calculations you used in making the decision and then explain in at least six sentences why you would travel to CheapGas or why you would not travel to CheapGas There is not one correct answer but the reasoning provided must be correct to support your decision Write or type a thoughtful response consisting of at least six sentences Attach your solution using the dropbox below

Assume that we run the following algorithm on an array A with n integer elements for i 1 to n 1 for j 0 to n i 1 if A i A i 1 swap A j and A j 1 a If the input is A 0 n A 1 n 1 A n 1 1 then how many swaps would be made b How many comparisons will be made in general on any array of n elements

The shadow of a vertical tower is 79 0 ft long when the angle of elevation of the sun is 31 0 Find the height of the tower The tower is ft tall Simplify your answer Type an integer or decimal rounded to the nearest tenth as needed

Quiz 1 TB MC Qu 08 96 Static On January 1 Year 1 Stiller On January 1 Year 1 Stiller Company paid 80 000 to obtain a patent patent was 8 years Based on this information what is the amount of a

A farmer has 400 acres of available land and 80 000 to spend He wants to plant the combination of crops which maximizes his profit Complete parts a through c Number of Acres Cost per acre Profit per acre a Give the dual problem W subject to Profits and Constraints for Crops Potatoes Corn X2 128 60 X 320 180 Y 320y2 Y 128y2 Y 224y2 with Y 20 y 20 Simplify your answers Do not factor Cabbage X3 224 90 IMANI Total S 400 S 80 000 E Z K

Suppose f x x 5z 2 Compute the following A f 1 f 1 B f 1 f 1

Suppose that you are holding your toy submarine under the water You release it and it begins to ascend The graph models the depth of the submarine as a function of time What is the domain and range of the function in the graph 11 2 3 4 5 0 7 8 D R 2 3 d depth 4 t time 5 6 7 8 d

Graph the parabola then answer the questions about the vertex any intercepts the domain and range Enter intercepts as ordered pairs points y z 10 24 10 9 748 3 40 09 69 7 6 5 54 Ma RY and vi Inequalite Clear All Draw VO

Solve the inequality 1 3 5r 10 H IV 65

Click here for additional help What is the y intercept of the line shown in the graph below 4 2 2 X Q

complete this problem Use the following graph to find y when x 6 Q Ay to X 1412 10 8 6 4 2 2 4 6 8 10 12 14

Find the rectangular coordinates for the point whose polar coordinates are given 4 2 1 x y

Trigonometry Exam 3 Part 2 1 3 points Sketch the vector indicated The vectors u and v are shown in the figure at right a 3u c 2v u Name b u v

Question 13 T Given f x 4x 40z 105 write the function in vertex form Write your answer in function notation by starting your answer with f x Question Help Video

State the dual problem for the linear programming problem Minimize w 3y 6y 2y3 Y4 subject to Y y2 Y3 Y4 170 2y1 5y2 3y3 2y4 245 Y 20 y 20 y3 20 Y4 20 with What is the dual problem subject to Z 3 6 2 1 with x 20 X 20 Simplify your answers Do not factor A

Find the area of the triangle below Be If necessary refer to the list of geomet 13 ft 16 ft 4 ft

NOTK CITUS On the following graph use the black curve plus symbols to illustrate the deadweight loss in these case triangle is equal tox Base x Height In the case of a deadweight loss triangle found on the graph inpu the height is the reduction in quantity caused by the tax DEADWEIGHT LOSS Dollars 700 630 560 490 420 350 280 210 140 70 0 0 5 10 15 20 25 30 3 TAX Dollars per case 2 Deadweight Loss increases at a constant rate increases and then decreases increases by a greater and greater amount

a An exponential function contains the points 2 40 and Select one a 31 What is an exponential function that contains these points O O y 4 O 3 Oy 3 4

Match the calculator function with what it s solving Exponential Regression Curve a QuadReg Logarithmic Regression Curve b ExpReg Linear Regression Curve Gauss Jordan Elimination Quadratic Regression Curve c LinReg d LnReg e rref

What rule s of exponents applies to the following problem 4y Sy Select all that apply Zero Rule Product Rule Negative Rule Quotient Rule Power Rule

5 7 5 points 01 58 09 Required Information Exercise 6 10A Algo Adjusting the cash a The following information applies to the question As of June 30 Year 1 the bank statement showed was 15 117 The following Information is available 1 Deposit in transit 2 755 2 Credit memo in bank statement for Interest ear 3 Outstanding check 3 947 4 Debit memo for service charge 6

Introduce slack variables as necessary then write the initial simplex tableau for the following linear programming problem Maximize subject to with z 8x 20x 2x x 8 x 6x 8 x 20 x 20 Introduce slack variables as necessary to convert the linear programming problem into a system of linear equations x x 8 x 6x 8 8x x z 0 Write the initial simplex tableau

ality into an equation by adding a slack variable 3 9x 7 2x 1 6x3 28 Choose the correct answer below OA 3 9x 7 2x2 1 6x3 S 28 O B 3 9x 7 2x2 1 6x3 28 OC 3 9x 7 2x2 1 6x3 28 S OD 3 9x 7 2x2 1 6x3 28 S

Assets 1 000 000 Liabilities 300 000 Owner s Equity 700 000 Sales 800 000 Total Expenses 500 000 What s the Return on Sales 37 5 62 5 125 42 857

quadratic equations Snowball Tossing Let h t be the height of a snowball tossed from the top of a building We will use the function h t 16t 32t 128 to model the situation The graph of this function will look like this Height t 140 140 120 100 80 40 40 20 D Snowball Thrown from Rooftop 0 2 Time s 3 A a What is the practical meaning of the value 128 for this function How about the point at 4 seconds b What effect does the sign of the coefficient 16 have on the graph of the function c If we are given a quadratic function in standard form can we find any value for x given y or vice versa Part 1 Refer back to Example 1 in the Learning Activity titled Minimum and Maximum Values A quadratic equation is provided along with the coordinates of its vertex In your own words describe the logic that allows one to conclude that 1 there must be a maximum or minimum value and 2 the location for that maximum or minimum value must be at the vertex Also describe how you would be able to tell from just the equation and the coordinates of the vertex whether the quadratic had a maximum value or a minimum value In formulating your response consider both a geometric viewpoint From the perspective of the graph what s going on and an algebraic one What do the numbers say and why Part 2 Please respond to the following using what you have learned about

Give the output of the following algorithm when the list L 7 5 11 19 21 is received as input def MyProcess L for i in range 0 len L k L i j i 1 while j 0 and L j k L j 1 L j j j 1 L j 1 k return L

Find the values of x and y given that the shape below is a parallelogram y 8 4x 2x 6 5y OA x 3 and y 2 OB x 16 and y 2 OC x 31 and y 2 OD x 31 and y 21

Find the solutions that can be read from the simplex tableau X X2 X3 S S2 1 0 9 1 7 0 2 4 1 7 6 1 11 Z 1 0 0 0 0 1 9 8 14 x x 3 z Simplify your answers 8

Convert the following inequality into an equation by adding a slack variable 5x 3x 14 Choose the correct corresponding equation below OA 5x 3x 14 OB 5x 3x 14 OC 5x 3x S 14 OD 5x 3x 14 K

A company manufactures three types of lamps labeled A B and C Each lamp is processed in two departments I and II Total available work hours per Work hours in I day for departments I and II are 405 and 595 respectively No additional labor is available Time requirements and profit per unit for each lamp type are shown in the table to the right The company has assigned you as the accounting member of its profit planning committee to determine the numbers of types of A B and C lamps that it should produce in order to maximize its total profit from the sale of lamps The following questions relate to a linear programming model that your group has developed Work hours in II Profit per Unit a What would the coefficients of the objective function be A 6 5 4 OB 2 3 1 OC 405 595 OD 4 2 3 A A B 2 3 4 2 6 5

Solve the linear programming problem by the method of corners Find the minimum and maximum of P 4x 3y subject to 3x 5y 2 20 3x y 16 2x y 2 x 0 y 0 The minimum is P 14 75 X at x y

Maximu Use the graph to the right which shows the daily Average low and high temperatures in degrees Celsius for the week in a city The green arrows represent the daily maximum and the blue arrows represent the daily minimum The week illustrated was unseasonably warm Determine the average January minimum temperature in degrees Fahrenheit 35 30 25 20 15 10 5 oc Sat

Translate into predicate logic and show the logical computation of the negation of the statement Some people work hard or all people do not eat Give a key for your predicate Additionally give the negation of the statement in simple English

Show via a sequence of justified logical equivalences that paq r is logically equivalent to p q r For the toolbar press ALT F10 PC or ALT FN F10 Mac 10nt

The scatter plot of data from 20 countries shows the relationship between a country s annual per capita income and the percentage of people in that country who call themselves happy Use the scatter plot to determine whether the following statement is true or false There is a correlation between per capita income and the percentage of people who call themselves happy Is the statement true or false O True False Points 0 of 1 100 80 60 40 20 0 mat EPLA L 10 000 20 000 30 Annual Per Capits Income in D

3 1 J 6 8 4 B2 h m PARTA 6 0 g Name the special angle relationship and the mathematical relationship between the two angles named PART B The angle relationship between 25 26 is corresponding which means they are congruent Name the special angle relationship and the mathematical relationship between the two angles named

Question 20 of 23 Kirkland Company combine months of 2020 the followi 1 2 3 4 Sales 20 500 units Variable costs per d Fixed costs per quar and repairs expense Unit selling price Prepare a selling and admin expense

07 Review Activity 9 1 Sketch the dimensions required to completely descri placement with others to evaluate the available opti measurements or simply use X for the number va

7 points 7 The mean number of people per day who purchase at least one lottery ticket and at least one pack of cigarettes at the Orwell Circle K is 267 with a standard deviation of 43 Assume we take a random sample of 38 days at the aforementioned Circle K in Orwell What is the probability that the sample mean number of people who purchased at least one lottery ticket and at least one pack of cigarettes will be between 260 and 284 Assume the purchase of lottery tickets and cigarettes at Circle K is normally distributed Round to 4 decimal points

Marta bought a 25 pound bag of food for her dog Her dog ate some of that food How can Marta find out how much food her dog ate a scale to weigh the amount of food left in the bag and then subtract the number of pounds from 25 e a tape measure to find the height of the food left in the bag and then subtract the number of inches from 25 se containers to measure the amount of food left in the bag and then subtract the number of gallons from 35 CLEAR

Complete the following table for these simple discount notes Use the ordinary interest method LU 11 1 2 Amount due at maturity 6 000 11 1 11 2 Answer 2 900 Discount rate 3 6 Time 160 days 180 days Bank discount Proceeds

How will this Information likely affect the supply curve for the company s sneakers Supply Curve for Explanation of curve Headline Gas Prices to Stay Low This Year Rise Dramatically Next Year How will this information likely affect the supply curve for gasoline Explanation of curve Supply Curve for

Solve by using formulas Round your answer to the nearest cent Present value in of an annuity due Annuity Payment Payment Frequency Time Period years Nominal Rate Interest Compounded Present Value of the Annuity 1 500 every year 5 5 6 annually

In which quadrant is each of these points located 3 4 0 3 In which quadrant is the point 3 4 located Choose the correct answer below OA III OB none OC V O D II OE I 10884 6 K AY 10 MEN 5

Maximize p 14x 10y 12z subject to x y z 3 x 2y z 8 x y 5 x 0 y 0 z 0 p x y z

rep Quiz the sinking fund formula shown to the mulate 62 000

Solve using the LCD 2 1 7 31 Step 1 Write the LCD LCD

d Midterm Exam Convert the base 10 numeral to a nur 2 874 to base 9 OA 3 548g OB 3 843g

Solve 3 x 6 73 Round your answer to the nearest integer

9 Find the linear approximation of f r y proximate the value of f 0 05 0 001 2a 3 4y 1 at 0 0 and use it to