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college mathematics for business economics

Questions and Answers of College Mathematics For Business Economics

In Problems 33–36, there is a tie for the choice of the first pivot column. Use the simplex method to solve each problem two different ways: first by choosing column 1 as the first pivot column,
In Problems 37–40, determine whether a minimization problem with the indicated condition can be solved by applying the simplex method to the dual problem. If your answer is yes, describe any
In Problems 37–40, determine whether a minimization problem with the indicated condition can be solved by applying the simplex method to the dual problem. If your answer is yes, describe any
In Problems 37–40, determine whether a minimization problem with the indicated condition can be solved by applying the simplex method to the dual problem. If your answer is yes, describe any
Solve the linear programming problems in Problems 41–44 by applying the simplex method to the dual problem. Minimize subject to C= 5x₁ + 4x₂ + 5x3 + 6x4 x₁ + x₂ = 12 x3 + x4 ≤ 25 X₁ +
In Problems 37–40, determine whether a minimization problem with the indicated condition can be solved by applying the simplex method to the dual problem. If your answer is yes, describe any
A food processing company produces regular and deluxe ice cream at three plants. Per hour of operation, the Cedarburg plant produces 20 gallons of regular ice cream and 10 gallons of deluxe ice
A linear programming problem has five decision variables x1, x2, x3, x4, x5 and six problem constraints. How many rows are there in the table of basic solutions of the associated e-system?
Find the basic solution for each tableau. Determine whether the optimal solution has been reached, additional pivoting is required, or the problem has no optimal solution. (A) (B) (C) X1 X2 S1 4 1
In Problems 1–8, find the transpose of each matrix. 7 3 -6 1 1 -1 0 3 -9
In Problems 1–8,(A) Introduce slack, surplus, and artificial variables and form the modified problem.(B) Write the preliminary simplex tableau for the modified problem and find the initial
Problems 5–8 refer to the system Find the solution of the system for which x1 = 0, s2 = 0. 2x₁ + 5x₂ + $1 x₁ + 3x₂ 10 + S₂ = 8
For the simplex tableau below, identify the basic and nonbasic variables. Find the pivot element, the entering and exiting variables, and perform one pivot operation. X1 X2 X3 32 4 -2 20 5 2 20 4 -6
Write the simplex tableau for Problem 1, and circle the pivot element. Indicate the entering and exiting variables. Data in Problem 1Given the linear programming problem Convert the problem
In Problems 1–8, find the transpose of each matrix. 9 5 -4 0
In Problems 1–8, find the transpose of each matrix. 1 -2 0 4
Find all basic solutions for the system in Problem 1, and determine which basic solutions are feasible.Data in Problem 1Given the linear programming problem Convert the problem constraints into a
In Problems 1–8, find the transpose of each matrix. [10 -7 3 -2]
In Problems 1–8,(A) Introduce slack, surplus, and artificial variables and form the modified problem.(B) Write the preliminary simplex tableau for the modified problem and find the initial
How many basic variables and how many nonbasic variables are associated with the system in Problem 1? Data in Problem 1Given the linear programming problem Convert the problem constraints into a
In Problems 1–8, find the transpose of each matrix. [-5 03-18]
Given the linear programming problem Convert the problem constraints into a system of equations using slack variables. Maximize P = 6x₁ + 2x2 subject to 2x₁ + x₂ = 8 x₁ + 2x₂ = 10 X1, X₂
The corner points for the bounded feasible region determined by the system of linear inequalities (A) Only at A (B) Only at B (C) Only at C (D) At both A and B (E) At both B and C x + 2y =
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize z = 8x + 7y subject to 4x + 3y = 24 3x + 4y = 8 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Maximize subject to P = 30x + 40y 2x + y ≤ 10 x + y ≤ 7 x + 2y = 12 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Maximize subject to P = 20x + 10y 3x + y = 21 x + y ≤ 9 x + 3y = 21 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize z = 10x + 30y subject to 2x + y 16 x + y = 12 x + 2y = 14 x, y≥ 0
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize z = 400x + 100y subject to 3x + y = 24 x + y ≥ 16 x + 3y = 30 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Minimize P = 30x + 10y subject to 2x + 2y = 4 6x + 4y = 36 2x + y ≤ 10 x, y = 0 and maximize
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize P = 2x + y subject to x + y = 2 6x + 4y = 36 4x + 2y = 20 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize P = 3x + 5y subject to x + 2y = 6 x + y ≤ 4 2x + 3y = 12 x, y ≥ 0
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize P = -x + 3y subject to 2x y ≥ 4 -x + 2y = 4 - y≤6 x, y ≥ 0
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize P = 20x + 10y subject to 2x + 3y = 30 2x + y = 26 -2x + 5y = 34 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize P = 12x + 14y subject to -2x + y = 6 x + y ≤ 15 3x - y = 0 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Maximize subject to P = 20x + 30y 0.6x + 1.2y 960 0.03x+0.04y ≤ 36 0.3x + 0.2y = 270 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Minimize subject to C = 30x+10y 1.8x + 0.9y 270 0.3x + 0.2y = 54 0.01x + 0.03y = 3.9 x, y ≥ 0
Solve the linear programming problems stated in Problems 17–34. Maximize subject to P = 525x + 478y 275x + 322y ≤ 3,381 350x + 340y≤ 3,762 425x+306y≤ 4,114 x, y z 0
Solve the linear programming problems stated in Problems 17–34. Maximize subject to P= 300x + 460y 245x + 452y ≤ 4,181 290x + 379y ≤ 3,888 390x +299y 4,407 x, y = 0
Graph each inequality. 2y < 4x + 3
Graph the systems in Problems 3–6 and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + 4y ≤ 80 x,y ≥ 0
Graph each inequality.4y - 8x ≤ 20
Graph the systems in Problems 3–6 and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 12x + 14y≤ 1,000 x, y = 0
Graph the systems in Problems 3–6 and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 3x + y ≤ 7 s 2x + 8y = 26 x, y ≥ 0
Graph the systems in Problems 3–6 and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 3x + y = 9 z 2x + 4y = 16 x, y ≥ 0
In Exercises 7 and 8, state the linear inequality whose graph is given in the figure. Write the boundary line equation in the form Ax + By = C, with A, B, and C integers, before stating the
In Exercises 7 and 8, state the linear inequality whose graph is given in the figure. Write the boundary line equation in the form Ax + By = C, with A, B, and C integers, before stating the
Solve the linear programming problems in Problems 9–13. Maximize P = 3x + 2y subject to x + 3y ≤ 6 x + 2y ≤ 9 x, y ≥ 0
Solve the linear programming problems in Problems 9–13. Maximize P = 2x + 5y subject to 2x + y = 12 x + 2y 18. x, y = 0
Solve the linear programming problems in Problems 9–13. Maximize P = 3x + 4y subject to x + 2y = 12 x + y ≤ 7 2x + y ≤ 10 x, y ≥ 0
Solve the linear programming problems in Problems 9–13. Minimize C= 8x + 3y subject to x + y = 10 2x + y = 15 x ≥ 3 x, y ≥ 0
Solve the linear programming problems in Problems 9–13. Maximize P = 4x + 3y subject to 2x + y ≥ 12 x + y = 8 x ≤ 12 y ≤ 12 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Maximize subject to P = 5x + 5y 2x + y ≤ 10 x + 2y = 8 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Maximize subject to P = 3x + 2y 6x + 3y ≤ 24 3x + 6y≤ 30 x, y = 0
Solve the linear programming problems stated in Problems 17–34. Minimize and maximize z = 2x + 3y subject to 2x + y = 10 x + 2y = 8 x, y = 0
In Problems 17–20, match the solution region of each system of linear inequalities with one of the four regions shown in the figure. Identify the corner points of each solution region. (0, 6) (0,
Solve the systems in Problems 21–30 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + 3y ≤ 12 x ≥ 0 y ≥ 0
Solve the systems in Problems 21–30 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + y ≤ 10 x + 2y = 8 x ≥ 0 y ≥ 0
Solve the systems in Problems 21–30 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + y = 10 x + 2y = 8 x ≥ 0 y ≥ 0
Solve the systems in Problems 21–30 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + y 2 16 = x + y = 12 x + 2y = 14. x
Solve the systems in Problems 21–30 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 3x + y 24 ≥ x + y = 16 x + 3y = 30 x
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. x + 4y < 32 3x + y = 30 4x + 5y ≥ 51
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. x + y ≤ 11 x + 5y = 15 2x + y = 12
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 4x + 3y = 48 2x + y = 24 x ≤ 9
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + 3y = 24 x + 3y 15 = 4 y
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. x-y≤0 2x - y ≤ 4 0≤x≤8
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + 3y = 12 -x + 3y 3 0 ≤ y≤ 5
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. x + 3y 1 5x - y =9 x + y ≤ 9 x≤5
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. x + y ≤ 10 5x + 3y = 15 -2x + 3y
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 16х + 13y < 120 3x + 4y ≥ -4x + 3y
Solve the systems in Problems 31–40 graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + 2y = 21 -10x + 5y = 24 < 3x + 5y =
Graph each inequality in Problems 9–18. y ≤ x - 1
In Problems 19–22, 3x + 4y ≥ 24(A) Graph the set of points that satisfy the inequality. (B) Graph the set of points that do not satisfy the inequality.
In Problems 23–28, define the variable and translate the sentence into an inequality.The number of overtime hours is less than 20.
In Problems 23–28, define the variable and translate the sentence into an inequality.Fixed costs are less than $8,000.
In Problems 23–28, define the variable and translate the sentence into an inequality.The annual salary is at least $65,000.
In Problems 23–28, define the variable and translate the sentence into an inequality.Full-time status requires at least 12 credit hours.
In Problems 23–28, define the variable and translate the sentence into an inequality.No more than 1,700 freshmen are admitted.
In Problems 41–50, graph each inequality subject to the nonnegative restrictions. 25x + 40y≤ 3,000, x ≥ 0, y = 0
In Problems 23–28, define the variable and translate the sentence into an inequality.The annual deficit exceeds $600 billion.
In Problems 41–50, graph each inequality subject to the nonnegative restrictions. 24x30y 7,200, x ≥ 0, y ≥ 0
In Problems 41–50, graph each inequality subject to the nonnegative restrictions. 15x - 50y < 1,500, x = 0, y ≥ 0
In Problems 41–50, graph each inequality subject to the nonnegative restrictions. 16x - 12y4,800, x = 0, y ≥ 0
In Problems 41–50, graph each inequality subject to the nonnegative restrictions. -18x + 30y ≥ 2,700, x ≥ 0, y = 0
Refer to Problem 59. The candidate decides to replace the television ads with newspaper ads that cost $500 per ad. How many radio spots and newspaper ads can the candidate purchase without exceeding
Solve the following system by graphing: 2x - y = 4 x - 2y = -4
Given matrices A and B, A = 5 3 -4 8 8 -1 0 13 2 0 B = -3 2 04 -1 7.
Find x1 and x2 : (A) (B) 1 1 X1 3³1x ]=[ X2 -2 -3 5 3 X1 1 1 X2 + 25 14 4 2 18 22
In Problems 6–14, perform the operations that are defined, given the following matrices: A + 2B A = = [23] =[123] 4 B C = [3 4] D = 4 [3] 5
In Problems 6–14, perform the operations that are defined, given the following matrices: 3B + D 3 3 2 A = = [28] = [(2 3] B 4 2 C = [3 4] D = 4 [3] 5
Write Problems 9–12 as systems of linear equations without matrices. 3 2 -1 X1 5 K]-[-] -4
In Problems 6–14, perform the operations that are defined, given the following matrices: 2A + B 3 3 2 A = = [28] = [(2 3] B 4 2 C = [3 4] D = 4 [3] 5
Problems 9–14 pertain to the following input–output model: Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand
In Problems 6–14, perform the operations that are defined, given the following matrices: BD 3 3 2 A = = [28] = [(2 3] B 4 2 C = [3 4] D = 4 [3] 5
Problems 9–14 pertain to the following input–output model: Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand
Write Problems 9–12 as systems of linear equations without matrices. X1 1 I x2 X3 -3 1 2 0 -1 3 -2 3 -4 2
Problems 9–14 pertain to the following input–output model: Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand
Write each system in Problems 13–16 as a matrix equation of the form AX = B. 3x1 4x2 = 1 2x1 + x2 = 5
In Problems 6–14, perform the operations that are defined, given the following matrices:CA A = 2 [43] B = 3 2 2 2 4 =[] 5 C = [34] D =
Write each system in Problems 13–16 as a matrix equation of the form AX = B. X1 X₁ - 3x₂ + 2x3 -3 -2x₁ + 3x₂ 1 -2 x₁ + X1 x₂ + 4x3 X2 = || ||
In Problems 9–18, find the matrix products. Note that each product can be found mentally, without the use of a calculator or pencil-and-paper calculations. 1 0 3 01 0 1 001 0 -4 0 2 -5 -1 6 -3

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