Question 1

Graph the inequality.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Use graphical methods to solve the linear programming problem.
-

Accepted Answer

A)  Minimum of 33 when x = 7 and y = 1 
B)  Minimum of 39 when x = 1 and y = 7 
C)  Minimum of 20 when x = 5 and y = 0 
D)  Minimum of 75 when x = 0 and y = 15 
A)  Minimum of 33 when x = 7 and y = 1 
B)  Minimum of 39 when x = 1 and y = 7 
C)  Minimum of 20 when x = 5 and y = 0 
D)  Minimum of 75 when x = 0 and y = 15

Question 3

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or
 unbounded.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Solve the problem.
-Jim has gotten scores of 78 and 69 on his first two tests. What score must he get on his third test to keep an average of 70 or greater?

Accepted Answer

A)  At least 63 
B)  At least 62 
C)  At least 72.3 
D)  At least 73.5 
A)  At least 63 
B)  At least 62 
C)  At least 72.3 
D)  At least 73.5

Question 5

Solve the problem.
-The Southern States Ring Company designs and sells two types of rings: the brass and the aluminum. They can
produce up to 24 rings each day using up to 60 total man-hours of labor per day. It takes 3 man-hours to make
one brass ring and 2 man-hours to make one aluminum ring. How many of each type of ring should be made
daily to maximize the company's profit, if the profit on a brass ring is $40 and on an aluminum ring is $35?

Accepted Answer

The answer of Solve the problem.
-The Southern States Ring Company...

Question 6

Provide an appropriate response.
-The corner points for the bounded feasible region determined by the system of inequalities:   are O = (0, 0), A = (0, 4), B = (5, 2) and C = (7, 0). Find the optimal solution for the objective profit function:
P(x) = 3x1 + 7x2

Accepted Answer

Maximum oc

Question 7

Use graphical methods to solve the linear programming problem.
-

Accepted Answer

A)  Maximum of 32 when x = 3 and y = 2 
B)  Maximum of 24 when x = 4 and y = 0 
C)  Maximum of 52 when x = 4 and y = 4 
D)  Maximum of 32 when x = 2 and y = 3 
A)  Maximum of 32 when x = 3 and y = 2 
B)  Maximum of 24 when x = 4 and y = 0 
C)  Maximum of 52 when x = 4 and y = 4 
D)  Maximum of 32 when x = 2 and y = 3

Question 8

Provide an appropriate response.
-Find the coordinates of the corner points of the solution region for:

Accepted Answer

(18, 0), (

Question 9

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or
 unbounded.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Solve the problem.
-Formulate the following problem as a linear programming problem (DO NOT SOLVE).A company which
produces three kinds of spaghetti sauce has two plants. The East plant produces 3,500 jars of plain sauce, 6,500
jars of sauce with mushrooms, and 3,000 jars of hot spicy sauce per day. The West plant produces 2,500 jars of
plain sauce, 2,000 jars of sauce with mushrooms, and 1,500 jars of hot spicy sauce per day. The cost to operate
the East plant is $8,500 per day and the cost to operate the West plant is $9,500 per day. How many days should
each plant operate to minimize cost and to fill an order for at least 8,000 jars of plain sauce, 9,000 jars of sauce
with mushrooms, and 6,000 jars of hot spicy sauce? (Let x1 equal the number of days East plant should operate
and x2 the number of days West plant should operate.)

Accepted Answer

The answer of Solve the problem.
-Formulate the following problem as...

Question 11

Graph the constant-profit lines through (3, 2) and (5, 3). Use a straightedge to identify the corner point(s) where the
 maximum profit occurs for the given objective function.  
-P = 5x + y

Accepted Answer

A)  Max P = 45 at x = 9 and y = 0, at x = 8 and y = 4, and at every point on the line segment joining the preceding two points. 
B)  Max P = 44 at x = 8 and y = 4, at x = 0 and y = 12, and at every point on the line segment joining the preceding two points. 
C)  Max P = 44 at x = 8 and y = 4 
D)  Max P = 45 at x = 9 and y = 0 
A)  Max P = 45 at x = 9 and y = 0, at x = 8 and y = 4, and at every point on the line segment joining the preceding two points. 
B)  Max P = 44 at x = 8 and y = 4, at x = 0 and y = 12, and at every point on the line segment joining the preceding two points. 
C)  Max P = 44 at x = 8 and y = 4 
D)  Max P = 45 at x = 9 and y = 0

Question 12

Solve the problem.
-Company A rents copiers for a monthly charge of $300 plus 10 cents per copy. Company B rents copiers for a monthly charge of $600 plus 5 cents per copy. What is the number of copies above which Company A's charges
Are the higher of the two?

Accepted Answer

A)  12,000 copies 
B)  3000 copies 
C)  6000 copies 
D)  6100 copies 
A)  12,000 copies 
B)  3000 copies 
C)  6000 copies 
D)  6100 copies

Question 13

Solve the problem.
-A vineyard produces two special wines a white, and a red. A bottle of the white wine requires 14 pounds of
grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of
processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to
the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for
$20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales? (Solve
using the geometric method.)

Accepted Answer

132 bottles of white

Question 14

Provide an appropriate response.
-The corner points for the bounded feasible region determined by the system of inequalities:   are O = (0, 0), A = (0, 7), B = (6, 5) and C = (8, 0). Find the optimal solution for the objective profit function:
P = 5x1 + 5x2

Accepted Answer

Maximum oc

Question 15

Graph the inequality.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Use graphical methods to solve the linear programming problem.
-A math camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate
Up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have
Up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to
Minimize cost?

Accepted Answer

A)  27 counselors and 18 aides 
B)  18 counselors and 12 aides 
C)  35 counselors and 10 aides 
D)  12 counselors and 18 aides 
A)  27 counselors and 18 aides 
B)  18 counselors and 12 aides 
C)  35 counselors and 10 aides 
D)  12 counselors and 18 aides

Question 17

Solve the problem.
-Formulate the following problem as a linear programming problem (DO NOT SOLVE):A dietitian can purchase
an ounce of chicken for $0.25 and an ounce of potatoes for $0.02. Each ounce of chicken contains 13 units of
protein and 24 units of carbohydrates. Each ounce of potatoes contains 5 units of protein and 35 units of
carbohydrates. The minimum daily requirements for the patients under the dietitian's care are 45 units of
protein and 58 units of carbohydrates. How many ounces of each type of food should the dietitian purchase for
each patient so as to minimize costs and at the same time insure the minimum daily requirements of protein
and carbohydrates? (Let x1 equal the number of ounces of chicken and x2 the number of ounces of potatoes
purchased per patient.)

Accepted Answer

The answer of Solve the problem.
-Formulate the following problem as...

Question 18

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or
 unbounded.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Graph the inequality. -

Use graphical methods to solve the linear programming problem. -

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or unbounded. -

Solve the problem. -Jim has gotten scores of 78 and 69 on his first two tests. What score must he get on his third test to keep an average of 70 or greater?

Provide an appropriate response. -The corner points for the bounded feasible region determined by the system of inequalities: are O = (0, 0), A = (0, 4), B = (5, 2) and C = (7, 0). Find the optimal solution for the objective profit function: P(x) = 3x1 + 7x2

Use graphical methods to solve the linear programming problem. -

Provide an appropriate response. -Find the coordinates of the corner points of the solution region for:

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or unbounded. -

Graph the constant-profit lines through (3, 2) and (5, 3). Use a straightedge to identify the corner point(s) where the maximum profit occurs for the given objective function. -P = 5x + y

Solve the problem. -Company A rents copiers for a monthly charge of $300 plus 10 cents per copy. Company B rents copiers for a monthly charge of $600 plus 5 cents per copy. What is the number of copies above which Company A's charges Are the higher of the two?

Provide an appropriate response. -The corner points for the bounded feasible region determined by the system of inequalities: are O = (0, 0), A = (0, 7), B = (6, 5) and C = (8, 0). Find the optimal solution for the objective profit function: P = 5x1 + 5x2

Graph the inequality. -

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or unbounded. -

Functions and Graphs

Limits and the Derivative

Additional Derivative Topics

Graphing and Optimization

Multivariable Calculus

Appendix A: Basic Algebra Review

Appendix B: Special Topics Online at Googlmjbxrg

Filters

Exam 5: Integration

Graph the inequality. -

Use graphical methods to solve the linear programming problem. -

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or unbounded. -

Solve the problem. -Jim has gotten scores of 78 and 69 on his first two tests. What score must he get on his third test to keep an average of 70 or greater?

Provide an appropriate response. -The corner points for the bounded feasible region determined by the system of inequalities: are O = (0, 0), A = (0, 4), B = (5, 2) and C = (7, 0). Find the optimal solution for the objective profit function: P(x) = 3x1 + 7x2

Use graphical methods to solve the linear programming problem. -

Provide an appropriate response. -Find the coordinates of the corner points of the solution region for:

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or unbounded. -

Graph the constant-profit lines through (3, 2) and (5, 3). Use a straightedge to identify the corner point(s) where the maximum profit occurs for the given objective function. -P = 5x + y

Solve the problem. -Company A rents copiers for a monthly charge of $300 plus 10 cents per copy. Company B rents copiers for a monthly charge of $600 plus 5 cents per copy. What is the number of copies above which Company A's charges Are the higher of the two?

Provide an appropriate response. -The corner points for the bounded feasible region determined by the system of inequalities: are O = (0, 0), A = (0, 7), B = (6, 5) and C = (8, 0). Find the optimal solution for the objective profit function: P = 5x1 + 5x2

Graph the inequality. -

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or unbounded. -

Functions and Graphs

Limits and the Derivative

Additional Derivative Topics

Graphing and Optimization

Multivariable Calculus

Appendix A: Basic Algebra Review

Appendix B: Special Topics Online at Googlmjbxrg

Filters