Questions and Answers of Finite Mathematics And Its Applications

Graph the feasible set for the system of inequalities. 3x + 6y ≥ 24 3x + y 2 6
For each of the following linear programming problems, determine the corresponding linear system and restate the linear programming problem in terms of the linear system.Maximize x + 15y subject to
For each of the following linear programming problems, determine the corresponding linear system and restate the linear programming problem in terms of the linear system.Maximize 8x + 13y subject to
For each of the following linear programming problems, determine the corresponding linear system and restate the linear programming problem in terms of the linear system.Maximize x + 2y - 3z
For each of the following linear programming problems, determine the corresponding linear system and restate the linear programming problem in terms of the linear system.Maximize 2x + y + 50 subject
Solve the linear programming problem by the simplex method.Maximize 3x - y subject to the constraints 2x + 5y ≤ 100 X > 10 y≥ 0.
Solve the linear programming problem by the simplex method.Minimize 3x + y subject to the constraints x + y ≥ 3 5 2x x ≥ 0, y ≥ 0. IV
Give the steps for carrying out the simplex method for linear programming problems in standard maximization form.
Solve the linear programming problem by the simplex method.Maximize 2x + 6y subject to the constraints -x+8y ≤ 160 3x - y ≤ 3 x ≥ 0, y ≥ 0.
Give the steps for carrying out the simplex method for problems in nonstandard form.
Solve the linear programming problem by the simplex method.Maximize x + 3y + 5z subject to the constraints + 2z ≤ 10 3y + z ≤ 24 x ≥ 0, y ≥ 0, z ≥ 0. X
Solve the linear programming problem by the simplex method.Minimize 3x + 5y + z subject to the constraints x + y + z 2 20 y + 2z ≥ 10 x ≥ 0, y ≥ 0, z ≥ 0.
Describe how to obtain the dual of a linear programming problem.
State the fundamental theorem of duality.
Solve the linear programming problem by the simplex method.Maximize 4x + 2y subject to the constraints 5x + y ≤ 80 < 3x + 2y ≤ 76 x ≥ 0, y ≥ 0.
Solve the linear programming problem by the simplex method.Maximize - x + 8y + z subject to the constraints x-2y+9z ≤ 10 y + 4z ≤ 12 x ≥ 0, y ≥ 0, z ≥ 0.
What is meant by “sensitivity analysis”?
Solve the linear programming problem by the simplex method.Maximize 10x + 12y + 10z subject to the constraints x-2y 3x ≤6 + z≤9 у + 3z < 12 x ≥ 0, у ≥ 0, z 2 0.
Solve the linear programming problem by the simplex method.Maximize 6x + 7y + 300 subject to the constraints 2x + 3y ≤ 400 x + y ≤ 150 x ≥ 0, y ≥ 0.
Solve the linear programming problem by the simplex method.Maximize 10x + 20y + 50 subject to the constraints x + y ≤ 10 5x + 2y ≤ 20 x ≥ 0, y ≥ 0.
Perform the indicated matrix calculation. o] 0 [3]
In a certain developing country, ecotourism income has been increasing in recent years. The income y (in thousands of dollars) x years after 2010 can be modeled by y = 1.15x + 14.(a) Draw the graph
Find three solutions to the system of equations.
The following table is an abbreviated United States life expectancy table. (a) Find the straight line that provides the least-squares fit to these data. (b) Use the straight line of
Perform the indicated matrix calculation. [동 10 2] + [3/3 -7 3]
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. -2 1 -1 5 -3 2 2 -1 1
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. 2 2 -2 3 0 0 0 0 1
What is the equation of the y-axis?
What is meant by the graph of an equation in x and y?
In Exercises plot the given point. (1−, 4)
The percentage of adults in the United States who use the Internet has increased substantially from the year 2000 to the year 2021. Figure 14 shows the percentage of U.S. adults who used the Internet
What is the point–slope form of the equation of a line?
Describe how to find the equation for a line when you know the coordinates of two points on the line.
The data points (2, 3), (5, 9), and (10, 19) all lie on the line y = 2x -1. Explain why that line must be the least-squares fit to the three data points.
What can you say about the slopes of parallel lines?
Figure 15 gives the percentage of persons 25 years and over who have completed four or more years of college. Figure 15(a) Obtain the least-squares line that fits these data. (Let x = 0
Consider the following four equations. One is the equation of a supply curve, and another is the equation of a demand curve. Identify the two equations, and then find the intersection point of
Describe how to obtain the point of intersection of two lines.
Many of the United States’ prominent public universities are shifting to admitting more out-of-state students. The percentage of freshmen at the University of Alabama who are from out-of-state x
Find the x-intercept and the y-intercept of each line.x = 7
Find the x-intercept and the y-intercept of each line.y = -8x
Give the slope–intercept form of the equation of the line. LO y 5 [TD] 8
find three solutions to the system of equations. X 4 y - 3z = 7 =
Make up an application whose answer is that the total cost is given by 301 [ [20 30] 600 700
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x + y x + 2y + 2z +2w = 4 = 7 y z + 6w = 5 y + 2z - 6w = 2 2x + -x + -
Find three solutions to the system of equations. √x + 7y - 3z = 8 z = 5
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x = y + z + w = 1 y + 3z + 2w = -7 y z - 3w = 1 3w = 0 X + 4z +
If B is a 3 × 5 matrix and (AA)B is defined, what is the size of matrix A?
If A is a 3 x 4 matrix and A(BB) is defined, what is the size of matrix B?
Find three solutions to the system of equations. x + 2y + z = 5 y + 3z = 9
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x + y2z+ 2w = 5 2x + y - 4z + w = 5 3x + 4y6z+ 9w = 20 4x + 4y - 8z + 8w = 20
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 2x + 6y + 6z = 0 -3x - 10y + z = 1 -X 4y + 3z = 1 5x + 6y + 8z = 9
Try finding the inverse of a matrix that does not have an inverse. How does your technology respond?
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 8z = 1 4z = 10 -x + 5y + 10z = -8 x+y+ z = 3 x + 2y + 3x - y +
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 2y + z- y + +z+ z + -x-9yz + x + y + z x = y - w = 1 w = 14 4w: 11 9 =
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x + 2y + 3z = 4 5x + 6y + 7z = 8 x + 2y + 3z = 5
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 6x - 2y + 2z = 4 - 3x - y + 2z = 2 -12x + 4y - 8z = 8
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x - 3y + 2z = 10 -x + 3y z = -6. -x + 3y + 2z = 6
Perform the indicated matrix calculation. 2 2 4 0 +3 5 7 1
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x + y + z = -1 2x + 3y + 2z = 3 2x + y + 2z = -7
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x = y + 3z = 3 -2x + 3y - 11z = -4 6 x - 2y + 8z II
Perform the indicated matrix calculation. [10 25] [63]
Perform the indicated matrix calculation. 1.5 4 0 .5 1.2
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x - 3y + z = 5 = -9 x - 2y3z = 6 -2x + 7y6z
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 4x + 5y = 3 3x + 6y = 1 2x-3y = 7
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 2x + 3y = 12 2x - 3y = 0 5x y = 13 -
Perform the indicated matrix calculation. 60 -9 3/4 ㅜ
Perform the indicated matrix calculation. [53] 1 2
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x = 6y = 12 -x + 3y = -6 x-2y = 4 -len
Find a 2 × 2 matrix A for which 5 -1 [23] 4-[42] A = 1
Perform the indicated matrix calculation. [100] 6 2
Perform the indicated matrix calculation. [6 1 5] -3 2
Perform the indicated matrix calculation. 1.4 0 .5 -1.2 3 2.5 H[₁ .1 .6 -1 3 .4 1
Find a 2 × 2 matrix A for which A 2 5 13 = || 2]. -1 0 4
Perform the indicated matrix calculation. ✔
Use the Gauss–Jordan method to calculate the inverse of the matrix. 1 4 112 1 3 1 3
Perform the indicated matrix calculation. 0 [189]-[ 0 .8 .2 5 .5
Perform the indicated matrix calculation. 1.3 5 2.3 -6 0 .7 + .7 .5 -1.2 1.5
Perform the indicated matrix calculation. 2 8 4 1-2 1 3 -3 5 2 0
Perform the indicated matrix calculation. 8 -3 + 5 6 L
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. 60 20 -6 1 01 10 10 -9 0-1 1
What are an input–output matrix and a consumer-demand matrix?
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. 1 2 -1 0 12 0 -2
Perform the indicated matrix calculation. 4 3 0 + 5 4 5 -1
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 5x - 10y = 5 8y = -3 3x -3x + 7y= 0
Describe the steps of the Gauss–Jordan method for finding the inverse of a matrix.
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. 1 6 15 00 00 00 4 2 0 0 50 2
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. 12-2 1 1 0 0 1 1
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x + 2y -5x - 7y + -x + y 3x + 4y - 5z + 3w = 16 13z - 9w = -50 7z+ 2w = 9 7z+6w = 33
Define the inverse of a matrix, A−1.
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 3x+6y - 9z = 1 2x +4y - 6z = 1 3x +4y + 5z = 0
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. 2-4 -1 2
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 3x - 6y + -2.x + 3y - 5z = 6z = −5 7 x + y + 10z = 3
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. [! 0 1-3 1
Use the Gauss–Jordan method to compute the inverse, if it exists, of the matrix. 13 1 2 0 11 3 -1 2
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. x - y = -3 4x - 5y = -9
Use the Gauss–Jordan elimination method to find all solutions of the system of linear equations. 3x +9z = 42 30 2x + y + 6z = -x + 3y - 2z = -20
Suppose that the line y = -2x + 12 is used to fit the four data points in Table 5. Complete the table, and determine the sumof-squares error E. Table 5 Data Point (1, 11) (2,7) (3,5) (4, 5) Point on
How do you determine the coordinates of a point in the plane?
Find the slope of the line having equation 3x - 4y = 8.

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