Question 1

With the given constraints for the following linear programming mixture problem, graph the feasible region. 
2 x + 3y F1F1F1S1F1F1F10 180
5 x + 2y F1F1F1S1F1F1F10 230
x F1F1F1S1F1F1F10 0
y F1F1F1S1F1F1F10 0

Accepted Answer

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

Question 2

Use the following to answer the Questions:
concern the following tableau for a shipping problem.  
-What is the cost of the solution shown in the tableau above?

Accepted Answer

The answer of Use the following to answer the Questions:
concern...

Question 3

The graph of the feasible region for a mixture problem is shown below. Find the point that maximizes the profit function P = x + 4y.

Accepted Answer

A)  (0, 9) 
B)  (6, 7) 
C)  (7, 3) 
D)  (6, 0) 
A)  (0, 9) 
B)  (6, 7) 
C)  (7, 3) 
D)  (6, 0)

Question 4

Write the resource constraints for this situation: A company manufactures patio chairs (x) and rockers (y). Each piece is made of wood, plastic, and aluminum. A chair requires one unit of wood, one unit of plastic, and two units of aluminum. A rocker requires one unit of wood, two units of plastic, and five units of aluminum. The company's profit on a chair is $7 and on a rocker is $12. The company has available 400 units of wood, 500 units of plastic, and 1450 units of aluminum.

Accepted Answer

A)  1x + 1y + 2z F1F1F1S1F1F1F10 7, 1x + 2y + 5z F1F1F1S1F1F1F10 12, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0, z F1F1F1S1F1F1F10 0 
B)  1x + 1y F1F1F1S1F1F1F10 400, 1 x + 2y F1F1F1S1F1F1F10 500, 2x + 5y F1F1F1S1F1F1F10 1450, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
C)  400x + 500y + 1450z F1F1F1S1F1F1F10 0, 1x + 1y + 2z F1F1F1S1F1F1F10 7, 1x+ 2y + 5z F1F1F1S1F1F1F10 12, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0, z F1F1F1S1F1F1F10 0 
D)  7x + 12y F1F1F1S1F1F1F10 400, 2 x + 5y F1F1F1S1F1F1F10 1450, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
A)  1x + 1y + 2z F1F1F1S1F1F1F10 7, 1x + 2y + 5z F1F1F1S1F1F1F10 12, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0, z F1F1F1S1F1F1F10 0 
B)  1x + 1y F1F1F1S1F1F1F10 400, 1 x + 2y F1F1F1S1F1F1F10 500, 2x + 5y F1F1F1S1F1F1F10 1450, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
C)  400x + 500y + 1450z F1F1F1S1F1F1F10 0, 1x + 1y + 2z F1F1F1S1F1F1F10 7, 1x+ 2y + 5z F1F1F1S1F1F1F10 12, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0, z F1F1F1S1F1F1F10 0 
D)  7x + 12y F1F1F1S1F1F1F10 400, 2 x + 5y F1F1F1S1F1F1F10 1450, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0

Question 5

With the given constraints for the following linear programming mixture problem, graph the feasible region. 
x + 3y F1F1F1S1F1F1F10 23
3x + 7y F1F1F1S1F1F1F10 50
x F1F1F1S1F1F1F10 2
y F1F1F1S1F1F1F10 4

Accepted Answer

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

Question 6

Find the graph of the inequality 6x + 4y F1F1F1S1F1F1F10 48.

Accepted Answer

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

Question 7

The graph of the feasible region for a mixture problem is shown below. Which of the following profit functions does not have its maximum at the point (6, 6)?

Accepted Answer

A)  P = x + 2y 
B)  P = 2x + 3y 
C)  P = x + 3y 
D)  P = 2x + y 
A)  P = x + 2y 
B)  P = 2x + 3y 
C)  P = x + 3y 
D)  P = 2x + y

Question 8

Sketch the graph of the inequality 2x + 4y F1F1F1S1F1F1F10 12.

Accepted Answer

The answer of Sketch the graph of the inequality 2x...

Question 9

Suppose the feasible region has four corners, at these points: (0, 0), (5, 0), (0, 4), and (2, 3). For which of these profit formulas is the profit maximized, producing a mix of products at (2, 3)?

Accepted Answer

A)  $4x + $3y 
B)  $3x + $4y 
C)  $1x + $3y 
D)  $2x + $1y 
A)  $4x + $3y 
B)  $3x + $4y 
C)  $1x + $3y 
D)  $2x + $1y

Question 10

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 $P = 2 y$ what is the maximum profit?

Accepted Answer

A)  7 
B)  8 
C)  9 
D)  10 
A)  7 
B)  8 
C)  9 
D)  10

Question 11

The feasible region corresponding to a resource constraint 2x + 7y F1F1F1S1F1F1F10 10 using the reality minimums of x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 contains exactly 8 points (x, y) with integer values of x and y.

Accepted Answer

A) True 
 B)False

Question 12

Write the constraint inequalities and the profit formula for this linear programming mixture problem: Amazin' Raisin Baking Co. makes both raisin cake and raisin pie. A batch of raisin cakes requires 5 lbs of flour, 2 lbs of sugar, and 1 lb of raisins. A batch of raisin pies requires 2 lbs of flour, 3 lbs of sugar, and 4 lbs of raisins. There are 165 lbs of flour, 110 lbs of sugar, and 120 lbs of raisins available each week. Standing orders require at least five batches of raisin cakes and eight batches of raisin pies per week. If profit on a batch of raisin cakes is $35 and profit on a batch of raisin pies is $40, how many batches of each should be made per week to maximize profit?

Accepted Answer

x is the number of cakes and y is the nu

Question 13

Find the point of intersection of the lines with equations x + 3y = 18 and 2x + y = 11.

Accepted Answer

A)  (3, 5) 
B)  (5, 3) 
C)  (2, 3) 
D)  (3, 2) 
A)  (3, 5) 
B)  (5, 3) 
C)  (2, 3) 
D)  (3, 2)

Question 14

Find the graph of the equation 3x + 2y = 6.

Accepted Answer

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

Question 15

Find the graph of the inequality 4x + 5y F1F1F1S1F1F1F10 40.

Accepted Answer

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

Question 16

Solve this linear programming mixture problem: Kim and Lynn produce pottery vases and bowls. A vase requires 25 oz of clay and 5 oz of glaze. A bowl requires 20 oz of clay and 10 oz of glaze. There are 500 oz of clay available and 160 oz of glaze available. The profit on one vase is $5 and the profit on one bowl is $3. How should Kim and Lynn schedule production to optimize profit?

Accepted Answer

x is the number of vases and y is the nu

Question 17

Use the following tableau to answer the questions:
concern the following tableau for a shipping problem.  
-For this tableau, what is the cost for the solution given by the Northwest Corner Rule?

Accepted Answer

A)  53 
B)  55 
C)  62 
D)  65 
A)  53 
B)  55 
C)  62 
D)  65

Question 18

Write the resource constraints for this situation: A small stereo manufacturer makes a receiver and a CD player. Each receiver (x) takes eight hours to assemble and eight hours to test and ship. Each CD player (y) takes 15 hours to assemble and two hours to test and ship. The profit on each receiver is $30 and the profit on each CD player is $50. There are 160 hours available in the assembly department and 22 hours available in the testing and shipping department.

Accepted Answer

A)  8x + 1y F1F1F1S1F1F1F10 30, 15x + 2y F1F1F1S1F1F1F10 50, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
B)  8x + 1y F1F1F1S1F1F1F10 160, 15x + 2y F1F1F1S1F1F1F10 22, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
C)  8x + 15y F1F1F1S1F1F1F10 30, 8x + 2y F1F1F1S1F1F1F10 50, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
D)  8x + 15y F1F1F1S1F1F1F10 160, 8x + 2y F1F1F1S1F1F1F10 22, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
A)  8x + 1y F1F1F1S1F1F1F10 30, 15x + 2y F1F1F1S1F1F1F10 50, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
B)  8x + 1y F1F1F1S1F1F1F10 160, 15x + 2y F1F1F1S1F1F1F10 22, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
C)  8x + 15y F1F1F1S1F1F1F10 30, 8x + 2y F1F1F1S1F1F1F10 50, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0 
D)  8x + 15y F1F1F1S1F1F1F10 160, 8x + 2y F1F1F1S1F1F1F10 22, x F1F1F1S1F1F1F10 0, y F1F1F1S1F1F1F10 0

Question 19

Find the constraint inequalities and the profit formula for this linear programming mixture problem: The Acme Construction Company builds two types of houses. Plan A requires 200 man-hours for rough construction and 70 man-hours for finish work. Plan B requires 300 man-hours for rough construction and 50 man-hours for finish work. Acme has carpenters available to provide up to 900 hours of rough construction per month and 260 hours of finish work per month. If Acme clears $7000 profit on a Plan A house and $8000 profit on a Plan B house, how should they schedule production to maximize profit?

Accepted Answer

x is the number of Plan A homes produced

Question 20

The graph of the feasible region for a mixture problem is shown below. Find the point that maximizes the profit function P = 2x + 3y.

Accepted Answer

A)  (0, 5) 
B)  (3, 4) 
C)  (7, 2) 
D)  (9, 0) 
A)  (0, 5) 
B)  (3, 4) 
C)  (7, 2) 
D)  (9, 0)

With the given constraints for the following linear programming mixture problem, graph the feasible region. 2 x + 3y  180 5 x + 2y  230 x  0 y  0

Use the following to answer the Questions: concern the following tableau for a shipping problem. -What is the cost of the solution shown in the tableau above?

The graph of the feasible region for a mixture problem is shown below. Find the point that maximizes the profit function P = x + 4y.

With the given constraints for the following linear programming mixture problem, graph the feasible region. x + 3y  23 3x + 7y  50 x  2 y  4

Find the graph of the inequality 6x + 4y  48.

The graph of the feasible region for a mixture problem is shown below. Which of the following profit functions does not have its maximum at the point (6, 6)?

Sketch the graph of the inequality 2x + 4y  12.

Suppose the feasible region has four corners, at these points: (0, 0), (5, 0), (0, 4), and (2, 3). For which of these profit formulas is the profit maximized, producing a mix of products at (2, 3)?

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 $P = 2 y$ what is the maximum profit?

The feasible region corresponding to a resource constraint 2x + 7y  10 using the reality minimums of x  0, y  0 contains exactly 8 points (x, y) with integer values of x and y.

Find the point of intersection of the lines with equations x + 3y = 18 and 2x + y = 11.

Find the graph of the equation 3x + 2y = 6.

Find the graph of the inequality 4x + 5y  40.

Use the following tableau to answer the questions: concern the following tableau for a shipping problem. -For this tableau, what is the cost for the solution given by the Northwest Corner Rule?

The graph of the feasible region for a mixture problem is shown below. Find the point that maximizes the profit function P = 2x + 3y.

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Apportionment

Game Theory: the Mathematics of Competition

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The Economics of Resources

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Exam 4: Linear Programming

With the given constraints for the following linear programming mixture problem, graph the feasible region. 2 x + 3y  180 5 x + 2y  230 x  0 y  0

Use the following to answer the Questions: concern the following tableau for a shipping problem. -What is the cost of the solution shown in the tableau above?

The graph of the feasible region for a mixture problem is shown below. Find the point that maximizes the profit function P = x + 4y.

With the given constraints for the following linear programming mixture problem, graph the feasible region. x + 3y  23 3x + 7y  50 x  2 y  4

Find the graph of the inequality 6x + 4y  48.

The graph of the feasible region for a mixture problem is shown below. Which of the following profit functions does not have its maximum at the point (6, 6)?

Sketch the graph of the inequality 2x + 4y  12.

Suppose the feasible region has four corners, at these points: (0, 0), (5, 0), (0, 4), and (2, 3). For which of these profit formulas is the profit maximized, producing a mix of products at (2, 3)?

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=2yP = 2 yP=2y what is the maximum profit?

The feasible region corresponding to a resource constraint 2x + 7y  10 using the reality minimums of x  0, y  0 contains exactly 8 points (x, y) with integer values of x and y.

Find the point of intersection of the lines with equations x + 3y = 18 and 2x + y = 11.

Find the graph of the equation 3x + 2y = 6.

Find the graph of the inequality 4x + 5y  40.

Use the following tableau to answer the questions: concern the following tableau for a shipping problem. -For this tableau, what is the cost for the solution given by the Northwest Corner Rule?

The graph of the feasible region for a mixture problem is shown below. Find the point that maximizes the profit function P = 2x + 3y.

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 $P = 2 y$ what is the maximum profit?