Question 1

Use the Simplex Method for Solving Nonstandard Problems to solve the linear programming problem.

Accepted Answer

The answer of Use the Simplex Method for Solving Nonstandard...

Question 2

A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $4/unit of product A and a profit of $5/unit of product B. To manufacture 1 unit of product A requires 7 min on machine I and 9 min on machine II. To manufacture 1 unit of product B requires 9 min on machine I and 3 min on machine II. There are 6 hr of machine time available on machine I and 4 hr of machine time available on machine II in each work shift.
How many units of each product should be produced in each shift to maximize the company's profit?
A = __________ B = __________
What is the largest profit the company can realize?
$ __________
Is there any time left unused on the machines? Answer yes or no.
__________

Accepted Answer

The answer of A company manufactures two products, A and...

Question 3

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Accepted Answer

A)  x = 10, y = 0, C = - 40 
B)  x = 5, y = 5, C = - 15 
C)  x = 0, y = 0, C = 0 
D)  x = 0, y = 25, C = - 175 
A)  x = 10, y = 0, C = - 40 
B)  x = 5, y = 5, C = - 15 
C)  x = 0, y = 0, C = 0 
D)  x = 0, y = 25, C = - 175

Question 4

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Accepted Answer

A)  x = 0, y = 5, P = 10 
B)  x = 2, y = 0, P = 2 
C)  x = 0, y = 0, P = 11 
D)  x = 5, y = 3, P = 11 
A)  x = 0, y = 5, P = 10 
B)  x = 2, y = 0, P = 2 
C)  x = 0, y = 0, P = 11 
D)  x = 5, y = 3, P = 11

Question 5

Check that the given simplex tableau is not in final form. Find the pivot element to be used in the next iteration of the simplex method.

Accepted Answer

A)  pivot element is   , lying in the second row, second column. 
B)  pivot element is   , lying in the first row, second column. 
C)  pivot element is 0, lying in the second row, third column. 
D)  pivot element is 0, lying in the first row, first column. 
A)  pivot element is   , lying in the second row, second column. 
B)  pivot element is   , lying in the first row, second column. 
C)  pivot element is 0, lying in the second row, third column. 
D)  pivot element is 0, lying in the first row, first column.

Question 6

Solve the linear programming problem by the simplex method. Minimize   subject to

Accepted Answer

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

Question 7

Solve the given minimization problem by the simplex method. Minimize   subject to

Accepted Answer

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

Question 8

Solve the linear programming problem by the simplex method.

Accepted Answer

0; @#IMG-DLM& ; 0; @#IMG-DLM&

Question 9

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Accepted Answer

A)  x = 0, y = 3, C = 3 
B)  x = 6, y = 0, C = - 24 
C)  x = 0, y = 0, C = 0 
D)  x = 5, y =   , C = - 24 
A)  x = 0, y = 3, C = 3 
B)  x = 6, y = 0, C = - 24 
C)  x = 0, y = 0, C = 0 
D)  x = 5, y =   , C = - 24

Question 10

Everest Deluxe World Travel has decided to advertise in the Sunday editions of two major newspapers in town. These advertisements are directed at three groups of potential customers. Each advertisement in newspaper I is seen by 70,000 group A customers, 40,000 group B customers, and 20,000 group C customers. Each advertisement in newspaper II is seen by 10,000 group A, 20,000 group B, and 40,000 group C customers. Each advertisement in newspaper I costs $800, and each advertisement in newspaper II costs $700. Everest would like their advertisements to be read by at least 2 million people from group A, 1.4 million people from group B, and 1 million people from group C. How many advertisements should Everest place in each newspaper to achieve its advertising goals at a minimum cost? What is the minimum cost?

Accepted Answer

A)  25 in newspaper I; 20 in newspaper II; $33,000 
B)  28 in newspaper I; 12 in newspaper II; $33,000 
C)  30 in newspaper I; 10 in newspaper II; $31,000 
D)  26 in newspaper I; 18 in newspaper II; $32,000 
A)  25 in newspaper I; 20 in newspaper II; $33,000 
B)  28 in newspaper I; 12 in newspaper II; $33,000 
C)  30 in newspaper I; 10 in newspaper II; $31,000 
D)  26 in newspaper I; 18 in newspaper II; $32,000

Question 11

The First Street branch of Capitol Bank has a sum of $70 million earmarked for home loans and commercial-development loans. The bank expects to realize and 8% annual rate of return on the home loans and a 6% annual rate of return on the commercial-development loans. Management has decided that the total amount of home loans is greater than or equal to 3 times the total amount of commercial-development loans. Owing to prior commitment, at least $11 million of the funds has been designated for commercial-development loans. Determine the amount of each type of loan the bank should extend to maximize it returns. What is the maximum return?

Accepted Answer

A)  Bank should extend $48 million in home loans, $48 million of commercial-development loans to attain a maximum return of $5.38 million. 
B)  Bank should extend $59 million in home loans, $11 million of commercial-development loans to attain a maximum return of $5.38 million. 
C)  Bank should extend $11 million in home loans, $59 million of commercial-development loans to attain a maximum return of $5.38 million. 
D)  Bank should extend $11 million in home loans, $48 million of commercial-development loans to attain a maximum return of $5.38 million. 
E)  Bank should extend $48 million in home loans, $11 million of commercial-development loans to attain a maximum return of $5.38 million. 
A)  Bank should extend $48 million in home loans, $48 million of commercial-development loans to attain a maximum return of $5.38 million. 
B)  Bank should extend $59 million in home loans, $11 million of commercial-development loans to attain a maximum return of $5.38 million. 
C)  Bank should extend $11 million in home loans, $59 million of commercial-development loans to attain a maximum return of $5.38 million. 
D)  Bank should extend $11 million in home loans, $48 million of commercial-development loans to attain a maximum return of $5.38 million. 
E)  Bank should extend $48 million in home loans, $11 million of commercial-development loans to attain a maximum return of $5.38 million.

Question 12

A financier plans to invest up to $7 million in three projects. She estimates that project A will yield a return of 10% on her investment, project B will yield a return of 20% on her investment, and project C will yield a return of 25% on her investment. Because of the risks associated with the investments, she decided to put not more than 20% of her total investment in project C. She also decided that her investments in projects B and C should not exceed 60% of her total investment. Finally, she decided that her investment in project A should be at least 60% of her total investment. How much should the financier invest in each project if she wishes to maximize the total returns on her investments?
​
Project A: $ __________, project B: $ __________, and project C: $ __________
​
What is the maximum amount she can expect to make from her investments?
​
$ __________

Accepted Answer

The answer of A financier plans to invest up to...

Question 13

A veterinarian has been asked to prepare a diet for a group of dogs to be used in a nutrition study at the School of Animal Science. It has been stipulated that each serving should be no larger than 16 oz and must contain at least 58 units of Nutrient I and 40 units of Nutrient II. The vet has decided that the diet may be prepared from two brands of dog food: Brand A and Brand B. Each ounce of Brand A contains 3 units of Nutrient I and 4 units of Nutrient II. Each ounce of Brand B contains 5 units of Nutrient I and 2 units of Nutrient II. Brand A costs 3 cents/oz and Brand B costs 4 cents/oz. Determine how many ounces of each brand of dog food should be used per serving to meet the given requirements at minimum cost.

Accepted Answer

A)  6 oz of brand A dog food and 6 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 42 cents per serving. 
B)  6 oz of brand A dog food and 8 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 50 cents per serving. 
C)  2 oz of brand A dog food and 2 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 14 cents per serving. 
D)  8 oz of brand A dog food and 8 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 56 cents per serving. 
E)  8 oz of brand A dog food and 6 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 48 cents per serving. 
A)  6 oz of brand A dog food and 6 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 42 cents per serving. 
B)  6 oz of brand A dog food and 8 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 50 cents per serving. 
C)  2 oz of brand A dog food and 2 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 14 cents per serving. 
D)  8 oz of brand A dog food and 8 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 56 cents per serving. 
E)  8 oz of brand A dog food and 6 oz of brand B dog food can be prepared with the required nutrients at a minimum cost of 48 cents per serving.

Question 14

Solve the given minimization problem by the simplex method. Minimize   subject to

Accepted Answer

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

Question 15

Consider the linear programming problem.   Sketch the feasible set for the linear programming problem.

Accepted Answer

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

Use the Simplex Method for Solving Nonstandard Problems to solve the linear programming problem.

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Check that the given simplex tableau is not in final form. Find the pivot element to be used in the next iteration of the simplex method.

Solve the linear programming problem by the simplex method. Minimize subject to

Solve the given minimization problem by the simplex method. Minimize subject to

Solve the linear programming problem by the simplex method.

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Solve the given minimization problem by the simplex method. Minimize subject to

Consider the linear programming problem. Sketch the feasible set for the linear programming problem.

Straight Lines and Linear Functions

Systems of Linear Equations and Matrices

Linear Programming: a Geometric Approach

Mathematics of Finance

Sets and Counting

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters

Exam 4: Linear Programming: an Algebraic Approach

Use the Simplex Method for Solving Nonstandard Problems to solve the linear programming problem.

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Check that the given simplex tableau is not in final form. Find the pivot element to be used in the next iteration of the simplex method.

Solve the linear programming problem by the simplex method. Minimize subject to

Solve the given minimization problem by the simplex method. Minimize subject to

Solve the linear programming problem by the simplex method.

Use the simplex method for solving nonstandard problems to solve the given linear programming problem.

Solve the given minimization problem by the simplex method. Minimize subject to

Consider the linear programming problem. Sketch the feasible set for the linear programming problem.

Straight Lines and Linear Functions

Systems of Linear Equations and Matrices

Linear Programming: a Geometric Approach

Mathematics of Finance

Sets and Counting

Probability

Probability Distributions and Statistics

Markov Chains and the Theory of Games

Filters