Ch.6 Systems Of Linear Equations And Verified Test Bank 5e - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

Ch.6 Systems Of Linear Equations And Verified Test Bank 5e

College Algebra, 5e (Young)

Chapter 6 Systems of Linear Equations and Inequalities

6.5 The Linear Programming Model

1) Find the value of the objective function z = 2x - 2y at each of the vertices (0, 8), (2, 8), (-4, -4), and (1, -4) and then state the maximum and minimum values of the function.

A) maximum 10, minimum -16

B) maximum -16, minimum 10

C) maximum 10, minimum 16

D) maximum 16, minimum -16

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Utilize inequalities to describe constraints.

2) Find the value of the objective function z = 2x + 6y at each of the vertices (0, 3), (3, 8), (-6, -6), and (-3, -6), and then state the maximum and minimum values of the function.

A) maximum 54, minimum 48

B) maximum -48, minimum 54

C) maximum 54, minimum -48

D) maximum -48, minimum -54

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Utilize inequalities to describe constraints.

3) Find the value of the objective function z = 4x - 2y at each of the vertices (-2, 1), (-10, -7), (-10, -4), and (7, 4), and then state the maximum and minimum values of the function.

A) maximum -32, minimum 32

B) maximum 20, minimum 32

C) maximum -32, minimum 20

D) maximum 20, minimum -32

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Utilize inequalities to describe constraints.

4) Find the value of the objective function z = 8x + 4y at each of the vertices (4, 9), (-1, -5), (-1, 5), and (6, -4), and then state the maximum and minimum values of the function.

A) maximum -28, minimum -68

B) maximum -28, minimum 68

C) maximum 68, minimum -28

D) maximum -28, minimum 28

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Utilize inequalities to describe constraints.

5) Maximize z = 4x + 3y subject to:

table ( (x ≥ 0,   y ≥ 0,  -x + y ≤ 0,  and  x ≥ 4) )

A) maximum 0

B) maximum 16

C) maximum 28

D) maximum 12

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Solve the optimization problem, which combines minimizing or maximizing a function subject to constraints, using linear programming.

6) Maximize z = 2x + 5y subject to:

table ( (x ≥ 0,   y ≥ 0,   x + y ≤ 3) )

A) maximum 6

B) maximum -6

C) maximum -15

D) maximum 15

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Solve the optimization problem, which combines minimizing or maximizing a function subject to constraints, using linear programming.

7) Find the value of the objective function z = 6x - 5y at each of the vertices (-8, -1), (10, -9), and (-10, 1), and then state the maximum and minimum values of the function.

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Write an objective function that represents a quantity to be minimized or maximized.

8) Maximize z = 6x - 3y subject to:

table ( (x ≥ 0    y ≥ 0    y ≤ -3x + 6) )

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Solve the optimization problem, which combines minimizing or maximizing a function subject to constraints, using linear programming.

9) Maximize z = -5x - 6y

table ( (x + y ≥ 7   x + y ≤ 13)(-x + y ≤ 7   -x + y ≥ 3) )

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Solve the optimization problem, which combines minimizing or maximizing a function subject to constraints, using linear programming.

10) Minimize z = 8x + 2y

table ( (x + y ≥ 9   x + y ≤ 15)(-x + y ≤ 9   -x + y ≥ 3) )

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Solve the optimization problem, which combines minimizing or maximizing a function subject to constraints, using linear programming.

11) Maximize z = 9x + 5y

table ( (x + y ≥ 4   x + y ≤ 10)(-x + y ≤ 4   -x + y ≥ -2) )

A) 74

B) 20

C) 62

D) 32

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Solve the optimization problem, which combines minimizing or maximizing a function subject to constraints, using linear programming.

12) Minimize z = -8x - 5y

table ( (x + y ≥ 4   x + y ≤ 10)(-x + y ≤ 4   -x + y ≥ 0) )

A) 32

B) 0

C) 33

D) 1

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 05

Learning Objective: Solve the optimization problem, which combines minimizing or maximizing a function subject to constraints, using linear programming.

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Document Type:
DOCX
Chapter Number:
6
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 6 Systems Of Linear Equations And Inequalities
Author:
Cynthia Y. Young

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