Question csu dominguez hills omg322 ch. 3

 

 

Question 1                                                                                                                                          1 out of 1 points

 

A heuristic solution is

 

Question 2                                                                                                                                          1 out of 1 points

 

How many decision variables are there in a transportation problem which has 5 supply points and 4 demand points?

 

 Question 3                                                                                                                                        1 out of 1 points

 

 Exhibit 3.1

 

The following questions are based on this problem and accompanying Excel windows.

 

Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.

 

Let          X1 = Number of Beds to produce

 

                X2 = Number of Desks to produce

 

The LP model for the problem is

 

MAX:

30 X1 + 40 X2

Subject to:

6 X1 + 4 X2 £ 36 (carpentry)

 

4 X1 + 8 X2 £ 40 (varnishing)

 

X2 £ 8 (demand for desks)

 

X1, X2 ³ 0

 

 

 

 

A

B

C

D

E

1

 

Jones Furniture

 

 

2

 

 

 

 

 

3

 

Beds

Desks

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Carpentry

6

4

 

36

9

Varnishing

4

8

 

40

10

Desk demand

 

1

 

8

           

 


Refer to Exhibit 3.1. Which cells should be changing cells in this problem?

 

Question 4                                                                                                                                          0 out of 1 points

 

 How many constraints are there in a transportation problem which has 5 supply points and 4 demand points? (ignore the non-negativity constraints)

 

Question 5                                                                                                                                          1 out of 1 points

 

Exhibit 3.1

 

The following questions are based on this problem and accompanying Excel windows.

 

ones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.

 

Let          X1 = Number of Beds to produce

 

                X2 = Number of Desks to produce

 

The LP model for the problem is

 

MAX:

30 X1 + 40 X2

Subject to:

6 X1 + 4 X2 £ 36 (carpentry)

 

4 X1 + 8 X2 £ 40 (varnishing)

 

X2 £ 8 (demand for desks)

 

X1, X2 ³ 0

   

 

 

 

 

A

B

C

D

E

1

 

Jones Furniture

 

 

2

 

 

 

 

 

3

 

Beds

Desks

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Carpentry

6

4

 

36

9

Varnishing

4

8

 

40

10

Desk demand

 

1

 

8

           

 

Refer to Exhibit 3.1. Which cells should be the constraint cells in this problem?

 

                                               

 

 

 

Question 6                                                                                                                                          1 out of 1 points

 

Exhibit 3.2

 

The following questions are based on this problem and accompanying Excel windows.The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.

 


Computer
Model


Profit per
Model ($)

Maximum
demand for
product


Wiring Hours
Required

Assembly
Hours
Required

Inspection
Hours
Required

Plain

30

80

.4

.5

.2

Fancy

40

90

.5

.4

.3

 

 

Hours Available

50

50

22

           

 

 

 

Let

X1 = Number of Plain computers to produce

 

X2 = Number of Fancy computers to produce

 

 

MAX:

30 X1 + 40 X2

Subject to:

.4 X1 + .5 X2 £ 50 (wiring hours)

 

.5 X1 + .4 X2 £ 50 (assembly hours)

 

.2 X1 + .2 X2 £ 22 (inspection hours)

 

X1 £ 80 (Plain computers demand)

 

X2 £ 90 (Fancy computers demand)

 

X1, X2 ³ 0

   

 

 

 

 

A

B

C

D

E

1

 

Byte Computer Company

 

 

2

 

 

 

 

 

3

 

Plain

Fancy

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Wiring

0.4

0.5

 

50

9

Assembly

0.5

0.4

 

50

10

Inspection

0.2

0.3

 

22

11

Plain Demand

1

 

 

80

12

Fancy Demand

 

1

 

90

           

 


Refer to Exhibit 3.2. Which cells should be the constraint cells in this problem?

 

 Question 7                                                                                                                                         1 out of 1 points

 

Numeric constants should be

 

 Question 8                                                                                                                                         1 out of 1 points

 

 What is the significance of an absolute cell reference in Excel?

 

Question 9                                                                                                                                          1 out of 1 points

 

An LP problem with a feasible region will have

 

Question 10                                                                                                                                       0 out of 1 points

 

Problems which have only integer solutions are called

 

Question 11                                                                                                                                       1 out of 1 points

 

Exhibit 3.1

 

The following questions are based on this problem and accompanying Excel windows.Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.

 

Let

X1 = Number of Beds to produce

 

X2 = Number of Desks to produce

   

 


The LP model for the problem is

 

MAX:

30 X1 + 40 X2

Subject to:

6 X1 + 4 X2 £ 36 (carpentry)

 

4 X1 + 8 X2 £ 40 (varnishing)

 

X2 £ 8 (demand for desks)

 

X1, X2 ³ 0

   

 

 

 

 

A

B

C

D

E

1

 

Jones Furniture

 

 

2

 

 

 

 

 

3

 

Beds

Desks

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Carpentry

6

4

 

36

9

Varnishing

4

8

 

40

10

Desk demand

 

1

 

8

           

 

Refer to Exhibit 3.1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?

 

                                               

 

Question 12                                                                                                                                       1 out of 1 points

 

Exhibit 3.1

 

The following questions are based on this problem and accompanying Excel windows.Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.

 

Let

X1 = Number of Beds to produce

 

X2 = Number of Desks to produce

   

 


The LP model for the problem is

 

MAX:

30 X1 + 40 X2

Subject to:

6 X1 + 4 X2 £ 36 (carpentry)

 

4 X1 + 8 X2 £ 40 (varnishing)

 

X2 £ 8 (demand for desks)

 

X1, X2 ³ 0

   

 

 

 

 

A

B

C

D

E

1

 

Jones Furniture

 

 

2

 

 

 

 

 

3

 

Beds

Desks

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Carpentry

6

4

 

36

9

Varnishing

4

8

 

40

10

Desk demand

 

1

 

8

           

 

Refer to Exhibit 3.1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?

 

 

 

Question 13                                                                                                                                       1 out of 1 points

 

Exhibit 3.1

 

The following questions are based on this problem and accompanying Excel windows.Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.

 

Let

X1 = Number of Beds to produce

 

X2 = Number of Desks to produce

   

 


The LP model for the problem is

 

MAX:

30 X1 + 40 X2

Subject to:

6 X1 + 4 X2 £ 36 (carpentry)

 

4 X1 + 8 X2 £ 40 (varnishing)

 

X2 £ 8 (demand for desks)

 

X1, X2 ³ 0

   

 

 

 

 

A

B

C

D

E

1

 

Jones Furniture

 

 

2

 

 

 

 

 

3

 

Beds

Desks

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Carpentry

6

4

 

36

9

Varnishing

4

8

 

40

10

Desk demand

 

1

 

8

           

 

Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?

 

 

 

 

 

 

 

 Question 14                                                                                                                                      1 out of 1 points

 

Exhibit 3.2

 

The following questions are based on this problem and accompanying Excel windows.

 

The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.

 

Let

X1 = Number of Beds to produce

 

X2 = Number of Desks to produce

   

 


The LP model for the problem is

 

MAX:

30 X1 + 40 X2

Subject to:

6 X1 + 4 X2 £ 36 (carpentry)

 

4 X1 + 8 X2 £ 40 (varnishing)

 

X2 £ 8 (demand for desks)

 

X1, X2 ³ 0

   

 

 

 

 

A

B

C

D

E

1

 

Jones Furniture

 

 

2

 

 

 

 

 

3

 

Beds

Desks

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Carpentry

6

4

 

36

9

Varnishing

4

8

 

40

10

Desk demand

 

1

 

8

           

 

Refer to Exhibit 3.1. Which of the following statements represent the carpentry, varnishing and limited demand for desks constraints?

 

 

 

 

 

 

 

 

 

Question 15                                                                                                                                       1 out of 1 points

 

The constraints X1 ³ 0 and X2 ³ 0 are referred to as

 

 

 

Question 16                                                                                                                                       0 out of 1 points

 

 Exhibit 3.2

 

The following questions are based on this problem and accompanying Excel windows.

 

The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.

 


Computer
Model


Profit per
Model ($)

Maximum
demand for
product


Wiring Hours
Required

Assembly
Hours
Required

Inspection
Hours
Required

Plain

30

80

.4

.5

.2

Fancy

40

90

.5

.4

.3

 

 

Hours Available

50

50

22

           

 

 

 

Let

X1 = Number of Plain computers to produce

 

X2 = Number of Fancy computers to produce

 

 

MAX:

30 X1 + 40 X2

Subject to:

.4 X1 + .5 X2 £ 50 (wiring hours)

 

.5 X1 + .4 X2 £ 50 (assembly hours)

 

.2 X1 + .2 X2 £ 22 (inspection hours)

 

X1 £ 80 (Plain computers demand)

 

X2 £ 90 (Fancy computers demand)

 

X1, X2 ³ 0

   

 

 

 

 

A

B

C

D

E

1

 

Byte Computer Company

 

 

2

 

 

 

 

 

3

 

Plain

Fancy

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Wiring

0.4

0.5

 

50

9

Assembly

0.5

0.4

 

50

10

Inspection

0.2

0.3

 

22

11

Plain Demand

1

 

 

80

12

Fancy Demand

 

1

 

90

           

 

Refer to Exhibit 3.2. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?

 

 

 

Question 17                                                                                                                                       1 out of 1 points

 

Exhibit 3.2

 

The following questions are based on this problem and accompanying Excel windows.

 

The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces only a limited demand. There are also a limited number of wiring, assembly and inspection hours available in each month. The data for this problem is summarized in the following table.

 


Computer
Model


Profit per
Model ($)

Maximum
demand for
product


Wiring Hours
Required

Assembly
Hours
Required

Inspection
Hours
Required

Plain

30

80

.4

.5

.2

Fancy

40

90

.5

.4

.3

 

 

Hours Available

50

50

22

           

 

 

 

Let

X1 = Number of Plain computers to produce

 

X2 = Number of Fancy computers to produce

 

 

MAX:

30 X1 + 40 X2

Subject to:

.4 X1 + .5 X2 £ 50 (wiring hours)

 

.5 X1 + .4 X2 £ 50 (assembly hours)

 

.2 X1 + .2 X2 £ 22 (inspection hours)

 

X1 £ 80 (Plain computers demand)

 

X2 £ 90 (Fancy computers demand)

 

X1, X2 ³ 0

   

 

 

 

 

A

B

C

D

E

1

 

Byte Computer Company

 

 

2

 

 

 

 

 

3

 

Plain

Fancy

 

 

4

Number to make:

 

 

 

Total Profit:

5

Unit profit:

30

40

 

 

6

 

 

 

 

 

7

Constraints:

 

 

Used

Available

8

Wiring

0.4

0.5

 

50

9

Assembly

0.5

0.4

 

50

10

Inspection

0.2

0.3

 

22

11

Plain Demand

1

 

 

80

12

Fancy Demand

 

1

 

90

           

 

Refer to Exhibit 3.2. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of wiring used?

 

 

 

 Question 18                                                                                                                                      1 out of 1 points

 

Models which are setup in an intuitively appealing, logical layout tend to be the most

 

 Question 19                                                                                                                                      1 out of 1 points

 

Which command is equivalent to =SUMPRODUCT(A1:A3,B1:B3)?

 

Question 20                                                                                                                                       1 out of 1 points

 

What does the Excel =SUMPRODUCT(A1:A5,C6;C10) command do?

 

 

 

 

 

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