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college mathematics for business

Questions and Answers of College Mathematics For Business

An investor has at most $100,000 to invest in government bonds, mutual funds, and money market funds. The average yields for government bonds, mutual funds, and money market funds are 8%, 13%, and
In Problem convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is
In Problem(A) Form the dual problem.(B) Is the dual problem a standard maximization problem in standard form? Explain. Minimize C = -2x1 + 9x2 3x, - x2 2 -8 X1 + 4x2 2 subject to 4 X1, X2 2
A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 3 hours of fabrication and 1
A refinery produces two grades of gasoline, regular and premium, by blending together three components: A, B, and C. Component A has an octane rating of 90 and costs $28 a barrel, component B has an
In Problem convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is
In Problem(A) Form the dual problem.(B) Is the dual problem a standard maximization problem in standard form? Explain. Minimize C = 4x1 – x2 subject to 5x1 + 2x, 2 7 4x, + 6x, 2 10 X1, X2 2 0
A company manufactures car and truck frames at plants in Milwaukee and Racine. The Milwaukee plant has a daily operating budget of $50,000 and can produce at most 300 frames daily in any combination.
If you want to solve a minimization problem by applying the geometric method to the dual problem, how many variables and problem constraints must be in the original problem?
A minimization problem has 3 variables and 5 problem constraints. How many variables and problem constraints are in the dual problem?
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. C = 5x1 + 2x2 + 2x3 X1 - 4x2 + X3 2 6 -X1 + X2 - 2r3 2 4 Minimize subject to X1, X2, X3 2 0
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 10x1 + 7x2 + 12x3 subject to X + x2 + 2x3 2 7 2x1 + x2 + x3 2 4 X1, X2, X3 2 0
Solve the linear programming problems in Problem using the simplex method. P = 10x + 50x2 + 10x3 3x, + 3x, + 3x, s 66 6x1 Maximize %3D subject to 2r2 + 4x3 s 48 3x1 + 6x2 + 9x3 s 108 X1, X2, X3 2
A minimization problem has 4 variables and 2 problem constraints. How many variables and problem constraints are in the dual problem?
Solve the linear programming problems in Problem using the simplex method. Maximize P = x1 + 2x2 + 3x3 subject to 2x1 + 2x2 + 8x3 < 600 X1 + 3x2 + 2x3 s 600 3x1 + 2x2 + X3 < 400 X1, X2, X3 2
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 10x1 + 5x2 + 15x3 %3| subject to 7x1 + 3x2 + 6x3 2 42 X1, X2, X3 2 0
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 10x1 + 25x2 + 12x3 subject to 2x, + 6x2 + 3x3 2 6 X1, X2, X3 2 0
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 35x1 + 90x2 %3D subject to 2x, + 5x, 2 10 X1, X2 20
Solve the linear programming problems in Problem using the simplex method. P = 20x, + 30x2 subject to 0.6x, + 1.2x, < 960 Maximize %3D 0.03x, + 0.04x,< 36 0.3x1 + 0.2x, s 270 X1, X2 2
Solve the linear programming problems in Problem using the simplex method. P = 4x1 + 2x2 + 3x3 subject to x + x2 + X3 S 11 2x, + 3x2 + xz < 20 Maximize X1 + 3x2 + 2r3 20 X1, X2, X3 2 0
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 60x1 + 25x2 subject to 2x, + x2 2 4 2 4 X1, X2 2 0
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 4x1 + 5x2 subject to 2x1 + x2 2 12 X + x, 2 9 X2 2 4 X1, X2 2 0
Solve the linear programming problems in Problem using the simplex method. Maximize P = 4x1 + 3x2 + 2x3 subject to 3x1 + 2x2 + 5x3 < 23 2x1 + x2 + X3 s 8 X1 + x2 + 2x3 s 7 X1, X2, X3 2 0
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 5x, + 7x2 subject to X1 2 4 X1 + x2 2 8 X + 2r, 2 10 X1, X2 2 0
Solve the linear programming problems in Problem using the simplex method. Maximize P = 2x1 + 3x2 + 4x3 subject to X + x3 s 4 X2 + x3 < 3 X1, X2, X3 2 0
Solve the linear programming problems in Problem using the simplex method. Maximize P = x1 + X, + 2x3 2x2 + X3 s 9 subject to 2x1 + x2 + 2x3 < 28 X1, X2, X3 20
Solve the linear programming problems in Problem using the simplex method. Maximize subject to P = 4x 3x2 + 2x3 X + 2x - X3 5 3x + 2x + 2x3 = 22 1, 2, 3 = 0 :
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 10x + 30x2 subject to 2x1 + x2 2 16 X + x2 2 12 X1 + 2x2 2 14 X1, X2 2 0
Solve the linear programming problems in Problem using the simplex method. Maximize P = 5x, + 2x, - x3 subject to X1 + x2 - X3 < 10 2x1 + 4x, + 3x3 s 30 X1, X2, X3 2 0
Solve the linear programming problems in Problem using the simplex method. Maximize P = 45x + 30x2 subject to 4x + 3x2 = 12 X1, X = 0
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 7x1 + 5x2 %3D subject to X1 + x2 2 4 X - 2x, 2 -8 -2x, + x, 2 -8 | X1, X2 2
Solve the linear programming problems in Problem using the simplex method. Maximize P = 27x1 + 64x2 subject to &x, – 3x, < 24 X1, X2 2 0
Solve the linear programming problems in Problem using the simplex method. Маximize P %3D subject to 2x - 5x2 < 10 8r, + 7x2 X1, X2 2 0
Solve the linear programming problems in Problem by applying the simplex method to the dual problem. Minimize C = 3x, + 9x2 subject to 2x, + x2 2 8 X1 + 2x2 2 8 X1, X2 2 0
In Problem write the e-system obtained via slack variables for the given linear programming problem. Maximize P = 8x1 + 9x2 subject to 30x, - 25x, < 75 10x1 + 13x2 < 30 5x, + 18x, s 40 40x, + 36x, <
In Problem(A) Form the dual problem.(B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 10x1 + 15x2 subject to -4x, + X2 2 12 12x1 - 3x2 2
Solve the linear programming problems in Problem using the simplex method. Maximize P = 15x1 + 36x2 subject to x, + 3x2 = 6 X1, X2 2 0
In Problem write the e-system obtained via slack variables for the given linear programming problem. Maximize P = x1 + 2x2 subject to 4x - 3x2 < 12 5x1 + 2x2 s 25 -3x, + 7x, s 32 2x1 + x2 s 9 X1, X2
In Problem(A) Form the dual problem.(B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 7x1 + 9x2 subject to -3x + x2 2 6 X - 2r, 2
In Problem(A) Form the dual problem.(B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 40x, + 10x2 subject to 2x1 + x2 2 12 3x1 - x2 2
In Problem write the e-system obtained via slack variables for the given linear programming problem. Maximize P = 13x, + &x2 13x, + 8r2 subject to x1 + 2x2 s 20 X1, X2 2 0
In Problem write the e-system obtained via slack variables for the given linear programming problem. Maximize P = 4x1 + 7x2 subject to 6x1 + 5x2 < 18 X1, X2 2 0
In Problem(A) Form the dual problem.(B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 11x + 4x2 subject to 2x, + x, 2 8 -2x, + + 3x, 2
In Problem write the e-system obtained via slack variables for the given linear programming problem. Maximize P = 13x1 + 25x2 subject to 3x1 + 5x, < 27 &x1 + 3x2 < 19 4x1 + 9x2 s 34 X1, X2 2 0
In Problem(A) Form the dual problem.(B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 3x¡ + 5x2 subject to 2x1 + 3x2 2 7 X1 + 2x, 2 4 X1,
In Problem write the e-system obtained via slack variables for the given linear programming problem. Maximize P = 3x1 + 5x2 subject to 12x 1 - 14x2 < 55 19x, + 5x, < 40 -&x, + 11x, < 64 X1, X2 2 0
In Problem(A) Form the dual problem.(B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 7x, + 12x2 subject to 2x, + 3x, 2 15 X1 + 2x, 2
Solve the linear programming problems in Problem using the simplex method. Maximize P = 15x1 + 20x2 subject to 2x, + x2s 9 X1 + x2 < 6 X1 + 2x, s 10 X1, X2 2 0
In Problem write the e-system obtained via slack variables for the given linear programming problem. Maximize P = 35x1 + 25x2 subject to 10x, + 15x2 < 100 5x, + 20x, s 120 X1, X2 2 0
In Problem(A) Form the dual problem.(B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = x1 + 4x2 subject to x1 + 2x2 = 5 X1 + 3x, 2 6 X1, X2
Solve the linear programming problems in Problem using the simplex method. Maximize P = 30x1 + 40x2 subject to 2x, + x< 10 X1 + x2 s7 X1 + 2r, s 12 X1, X2 2 0
In Problem write the e-system obtained via slack variables for the given linear programming problem. Maximize P = 5x1 + 7x2 subject to 2x1 + 3x2 < 9 6x, + 7x < 13 X1, X2 2 0
In Problem(A) Form the dual problem.(B) Find the solution to the original problem by applying the simplex method to the dual problem. Minimize C = 9x1 + 2x2 subject to 4x1 + x2 2 13 3x1 + x2 2 12 X1,
In Problem(A) Using slack variables, write the initial system for each linear programming problem.(B) Write the simplex tableau, circle the first pivot, and identify the entering and exiting
In Problem(A) Form the dual problem.(B) Write the initial system for the dual problem.(C) Write the initial simplex tableau for the dual problem and label the columns of the tableau. Minimize C = 8x1
In Problem find the transpose of each matrix. 1 2 -1 2 -7 8 1 4 -1 3
In Problem find the pivot element, identify the entering and exiting variables, and perform one pivot operation. S1 S2 S3 P 2 Tx Ix 1 1 0 4 3 0 1 0 2 1 0 0 15 0 8 2 -4 0 -3
In Problem find the pivot element, identify the entering and exiting variables, and perform one pivot operation. S1 S2 P 0 4 X1 X2 1 4 1 1 0 24 -5 0 0 1 5 0 8-
A psychologist uses two types of boxes with mice and rats. The amount of time (in minutes) that each mouse and each rat spends in each box per day is given in the table. What is the maximum number of
A farmer wants to use two brands of fertilizer for his soybean crop. Brand A contains 18% nitrogen, 24% phosphate, and 12% potash. Brand B contains 5% nitrogen, 10% phosphate, and 15% potash.(A) How
A psychologist uses two types of boxes when studying mice and rats. Each mouse spends 10 minutes per day in box A and 20 minutes per day in box B. Each rat spends 20 minutes per day in box A and 10
A farmer wants to use two brands of fertilizer for his corn crop. Brand A contains 26% nitrogen, 3% phosphate, and 3% potash. Brand B contains 16% nitrogen, 8% phosphate, and 8% potash.(A) How many
An investor has $60,000 to invest in a CD and a mutual fund. The CD yields 5% and the mutual fund yields an average of 9%. The mutual fund requires a minimum investment of $10,000, and the investor
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 40 students, requires 3 chaperones, and costs $1,200 to rent. Each van can
In Problem introduce an algebraic process for finding the corner points of a solution region without drawing a graph. We will discuss this process later in the chapter.Repeat Problem 49 forProblem 49
A furniture company has two plants that produce the lumber used in manufacturing tables and chairs. In 1 day of operation, plant A can produce the lumber required to manufacture 20 tables and 60
In Problem construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the
In Problem introduce an algebraic process for finding the corner points of a solution region without drawing a graph. We will discuss this process later in the chapter.Consider the following system
Problem refer to the bounded feasible region with corner points O = 10, 02, A = 10, 52, B = 14, 32, and C = 15, 02 that is determined by the system of inequalitiesx + 2y ≤ 103x + y ≤ 15
The following message was encoded with the matrix B shown below. Decode the message.7 25 30 19 6 24 20 8 28 5 14 149 23 28 15 6 21 13 1 14 21 26 29 1 B = 1 0 1 1 1 1 1
In Problem define two variables and translate the sentence into an inequality.The Democratic candidate beat the Republican by at least seven percentage points.
In Problem find the transpose of each matrix. [2 1 -6 0 -1 [5 0 1 3 2.
For the simplex tableaux in Problem.(A) Identify the basic and nonbasic variables.(B) Find the corresponding basic feasible solution.(C) Determine whether the optimal solution has been found, an
In Problem(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 simplex
In Problem find the transpose of each matrix. 9 1 3 8. 3 7
For the simplex tableaux in Problem.(A) Identify the basic and nonbasic variables.(B) Find the corresponding basic feasible solution.(C) Determine whether the optimal solution has been found, an
In Problem(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 simplex
In Problem find the transpose of each matrix. 1 7 8 6 3 5 9 4 2
For the simplex tableaux in Problem.(A) Identify the basic and nonbasic variables.(B) Find the corresponding basic feasible solution.(C) Determine whether the optimal solution has been found, an
In Problem find the transpose of each matrix. 4 -1 6]
For the simplex tableaux in Problem.(A) Identify the basic and nonbasic variables.(B) Find the corresponding basic feasible solution.(C) Determine whether the optimal solution has been found, an
In Problem(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 simplex
In Problem find the transpose of each matrix. -5 3 7. 2.
A company produces foam mattresses in two sizes: regular and king. It takes 5 minutes to cut the foam for a regular mattress and 6 minutes for a king mattress. If the cutting department has 50
A candidate has budgeted $10,000 to spend on radio and television advertising. A radio ad costs $200 per 30-second spot, and a television ad costs $800 per 30-second spot. How many radio and
A company uses sedans and minivans to produce custom vehicles for transporting hotel guests to and from airports. Plant A can produce 10 sedans and 8 minivans per week, and Plant B can produce 8
A textile mill uses two blended yarns—a standard blend that is 30% acrylic, 30% wool, and 40% nylon and a deluxe blend that is 9% acrylic, 39% wool, and 52% nylon— to produce various fabrics. How
Problem refer to the bounded feasible region with corner points O = 10, 02, A = 10, 52, B = 14, 32, and C = 15, 02 that is determined by the system of inequalitiesx + 2y ≤ 103x + y ≤ 15
In Problem define two variables and translate the sentence into an inequality.The plane is at least 500 miles closer to Chicago than to Denver.
Problem refer to the bounded feasible region with corner points O = 10, 02, A = 10, 52, B = 14, 32, and C = 15, 02 that is determined by the system of inequalitiesx + 2y ≤ 103x + y ≤ 15
In Problem define two variables and translate the sentence into an inequality.The number of grams of saturated fat is more than three times the number of grams of unsaturated fat.
Problem refer to the bounded feasible region with corner points O = 10, 02, A = 10, 52, B = 14, 32, and C = 15, 02 that is determined by the system of inequalitiesx + 2y ≤ 103x + y ≤ 15
In Problem define two variables and translate the sentence into an inequality.Revenue is at least $20,000 under the cost.
In Problem define two variables and translate the sentence into an inequality.New-car sales and used-car sales combined are at most $500,000.
In Problem define two variables and translate the sentence into an inequality.Enrollment in finite mathematics plus enrollment in calculus is less than 300.
In Problem define the variable and translate the sentence into an inequality.Mileage exceeds 35 miles per gallon.
In Problem define the variable and translate the sentence into an inequality.The tax rate is under 40%.
In Problem define the variable and translate the sentence into an inequality.The discount is at least 5%.
In Problem is the solution region bounded or unbounded?3x + y ≤ 6 x ≥ 0 y ≥ 0
In Problem is the solution region bounded or unbounded?-x + y ≤ 4 x ≤ 10 x ≥ 0 y ≥ 0

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