Question 1

With the given constraints for the following linear programming mixture problem, graph the feasible region. 
x + 6y F1F1F1S1F1F1F10 1100
4x + y F1F1F1S1F1F1F10 2100
x F1F1F1S1F1F1F10 0
y F1F1F1S1F1F1F10 0

Accepted Answer

The answer of With the given constraints for the following...

Question 2

Write the constraint inequalities for this situation: A cheeseburger (x) requires 5 oz of meat and 0.7 oz of cheese and a superburger (y) requires 7 oz of meat and 0.6 oz of cheese. The burger stand has 350 oz of meat and 42 oz of cheese available. The profit on a cheeseburger is 10 cents and the profit on a superburger is 40 cents.

Accepted Answer

A)  5x + 7y F1F1F1S1F1F1F10 350, 0.7 x + 0.6y F1F1F1S1F1F1F10 42, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
B)  5x + 0.7y F1F1F1S1F1F1F10 10, 7 x + 0.6y F1F1F1S1F1F1F10 40, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
C)  5x + 7y F1F1F1S1F1F1F10 10, 0.7 x + 0.6y F1F1F1S1F1F1F10 40, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
D)  70x + 50y F1F1F1S1F1F1F10 350, 60 x + 70y F1F1F1S1F1F1F10 42, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
A)  5x + 7y F1F1F1S1F1F1F10 350, 0.7 x + 0.6y F1F1F1S1F1F1F10 42, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
B)  5x + 0.7y F1F1F1S1F1F1F10 10, 7 x + 0.6y F1F1F1S1F1F1F10 40, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
C)  5x + 7y F1F1F1S1F1F1F10 10, 0.7 x + 0.6y F1F1F1S1F1F1F10 40, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
D)  70x + 50y F1F1F1S1F1F1F10 350, 60 x + 70y F1F1F1S1F1F1F10 42, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0

Question 3

With the given constraints for the following linear programming mixture problem, graph the feasible region. 
x + 6y F1F1F1S1F1F1F10 110
x F1F1F1S1F1F1F10 0
y F1F1F1S1F1F1F10 0

Accepted Answer

The answer of With the given constraints for the following...

Question 4

Write a resource constraint for this situation: A lawn service company has 40 hours of worker time available. Mowing a lawn (x) takes three hours and trimming (y) takes two hours. The profit from mowing is $15 and the profit from trimming is $10.

Accepted Answer

A)  3x + 2y F1F1F1S1F1F1F10 40 
B)  (40/3)x + 10y F1F1F1S1F1F1F10 40 
C)  15x + 10y F1F1F1S1F1F1F10 40 
D)  5x + 5y F1F1F1S1F1F1F10 40 
A)  3x + 2y F1F1F1S1F1F1F10 40 
B)  (40/3)x + 10y F1F1F1S1F1F1F10 40 
C)  15x + 10y F1F1F1S1F1F1F10 40 
D)  5x + 5y F1F1F1S1F1F1F10 40

Question 5

Find the graph of the equation 5x + 2y = 15.

Accepted Answer

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

Question 6

Graph the feasible region identified by the inequalities: $$\begin{array} { l } 
4 x + 1 y \leq 12 \
2 x + 7 y \leq 28 \
x \geq 0 , y \geq 0
\end{array}$$

Accepted Answer

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

Question 7

Write a profit formula for this mixture problem: Kim and Lynn produce tables (x) and chairs (y). Each piece is assembled, sanded, and stained. A table requires two hours to assemble, three hours to sand, and three hours to stain. A chair requires four hours to assemble, two hours to sand, and three hours to stain. The profit earned on each table is $20 and on each chair is $12. Together Kim and Lynn spend at most 16 hours assembling, 10 hours sanding, and 13 hours staining.

Accepted Answer

A)  P = 20x + 12y 
B)  P = 2x + 3y + 3z 
C)  P = 16x + 10y + 13z 
D)  P = 8x + 9y 
A)  P = 20x + 12y 
B)  P = 2x + 3y + 3z 
C)  P = 16x + 10y + 13z 
D)  P = 8x + 9y

Question 8

Find the maximum value of P, where P = 3x + 4y subject to the constraints:
x F1F1F1S1F1F1F10 0; y F1F1F1S1F1F1F10 0 ; x + 2y F1F1F1S1F1F1F10 8; x + y F1F1F1S1F1F1F10 5

Accepted Answer

The maximum occurs a

Question 9

Refer to the feasible region defined by the following constraints to answer the following questions : 
$\begin{array} { l } 
x + y \leq 6 \
x + 2 y \leq 8 \
x \geq 0 \
y \geq 0
\end{array}$
-If the profit formula is $P = 3 x + 4 y$ what is the maximum profit?

Accepted Answer

A)  19 
B)  20 
C)  21 
D)  22 
A)  19 
B)  20 
C)  21 
D)  22

Question 10

Suppose the feasible region has four corners at these points: (0, 0), (5, 0), (0, 4), and (2, 3). If the profit formula is P = $2x + $3y, what is the maximum profit possible?

Accepted Answer

A)  $12 
B)  $13 
C)  $14 
D)  $15 
A)  $12 
B)  $13 
C)  $14 
D)  $15

Question 11

Which of the following descriptions is NOT a correct common feature of mixture problem?

Accepted Answer

A)  Definite resources are available in limited, known quantities for the period in question. 
B)  Definite products can be made by combining, or mixing the resources. 
C)  Each product's profit is contingent upon time. 
D)  The objective in a mixture problem is to find how much of each product to make so as to maximize the profit without exceeding any of the resource limitations. 
A)  Definite resources are available in limited, known quantities for the period in question. 
B)  Definite products can be made by combining, or mixing the resources. 
C)  Each product's profit is contingent upon time. 
D)  The objective in a mixture problem is to find how much of each product to make so as to maximize the profit without exceeding any of the resource limitations.

With the given constraints for the following linear programming mixture problem, graph the feasible region. x + 6y  1100 4x + y  2100 x  0 y  0

With the given constraints for the following linear programming mixture problem, graph the feasible region. x + 6y  110 x  0 y  0

Write a resource constraint for this situation: A lawn service company has 40 hours of worker time available. Mowing a lawn (x) takes three hours and trimming (y) takes two hours. The profit from mowing is $15 and the profit from trimming is $10.

Find the graph of the equation 5x + 2y = 15.

Graph the feasible region identified by the inequalities: 4x+1y\leq12 2x+7y\leq28 x\geq0,y\geq0

Find the maximum value of P, where P = 3x + 4y subject to the constraints: x  0; y  0 ; x + 2y  8; x + y  5

Refer to the feasible region defined by the following constraints to answer the following questions : x+y\leq6 x+2y\leq8 x\geq0 y\geq0 -If the profit formula is $P = 3 x + 4 y$ what is the maximum profit?

Suppose the feasible region has four corners at these points: (0, 0), (5, 0), (0, 4), and (2, 3). If the profit formula is P = $2x + $3y, what is the maximum profit possible?

Which of the following descriptions is NOT a correct common feature of mixture problem?

Urban Services

Business Efficiency

Planning and Scheduling

Exploring Data: Distributions

Exploring Data: Relationships

Data for Decisions

Probability: the Mathematics of Chance

Social Choice: the Impossible Dream

The Manipulability of Voting Systems

Weighted Voting Systems

Electing the President

Fair Division

Apportionment

Game Theory: the Mathematics of Competition

Identification Numbers

Information Science

Growth and Form

Symmetry and Patterns

Tilings

Savings Models

Borrowing Models

The Economics of Resources

Filters

Exam 4: Linear Programming

With the given constraints for the following linear programming mixture problem, graph the feasible region. x + 6y  1100 4x + y  2100 x  0 y  0

With the given constraints for the following linear programming mixture problem, graph the feasible region. x + 6y  110 x  0 y  0

Write a resource constraint for this situation: A lawn service company has 40 hours of worker time available. Mowing a lawn (x) takes three hours and trimming (y) takes two hours. The profit from mowing is $15 and the profit from trimming is $10.

Find the graph of the equation 5x + 2y = 15.

Graph the feasible region identified by the inequalities: 4x+1y\leq12 2x+7y\leq28 x\geq0,y\geq0

Find the maximum value of P, where P = 3x + 4y subject to the constraints: x  0; y  0 ; x + 2y  8; x + y  5

Refer to the feasible region defined by the following constraints to answer the following questions : x+y\leq6 x+2y\leq8 x\geq0 y\geq0 -If the profit formula is P=3x+4yP = 3 x + 4 yP=3x+4y what is the maximum profit?

Suppose the feasible region has four corners at these points: (0, 0), (5, 0), (0, 4), and (2, 3). If the profit formula is P = $2x + $3y, what is the maximum profit possible?

Which of the following descriptions is NOT a correct common feature of mixture problem?

Urban Services

Business Efficiency

Planning and Scheduling

Exploring Data: Distributions

Exploring Data: Relationships

Data for Decisions

Probability: the Mathematics of Chance

Social Choice: the Impossible Dream

The Manipulability of Voting Systems

Weighted Voting Systems

Electing the President

Fair Division

Apportionment

Game Theory: the Mathematics of Competition

Identification Numbers

Information Science

Growth and Form

Symmetry and Patterns

Tilings

Savings Models

Borrowing Models

The Economics of Resources

Filters

Refer to the feasible region defined by the following constraints to answer the following questions : x+y\leq6 x+2y\leq8 x\geq0 y\geq0 -If the profit formula is $P = 3 x + 4 y$ what is the maximum profit?