QUESTION 1

1.

Refer to the decision tree attached. The pay-offs are profit values under each

scenario. The best decision is

(type "A" for Invest and "B" for Do not Invest)

and the expected pay-off is . QUESTION 2

1.

Use Exponential smoothing with alpha=0.3 to forecast the sales for 2015 using the

data given below (Use two decimal points):

2012

2013

2014 184

169

175 2. QUESTION 3

1.

Refer to the pay-off matrix consisting of profit information below. Calculate the

Opportunity Loss if you choose Investment C and Scenario A occurs.

Scenario A

Scenario B

Scenario C Investment A 8,000 10,000 -2,000 Investment B 4,000 -1,000 3,000 Investment C -1,000 2,000 5,000 QUESTION 4

1.

Refer to the image below. As you can see the minimum number of first class tickets

to be sold is currently 12. The minimum number of first class tickets has been increased to

18 (plus six). Profit will then increase or decrease by (use two decimals. Use + sign for

increase in profit and – sign for decrease in profit. For example type "+100" for an increase

of 100 in profit and type "-100" for a decrease of 100 in profit) QUESTION 5 1. Refer to the pay-off matrix consisting of profit information below. Based on Average

pay-off strategy, the investment to be chosen is

(mention the

investment letter) and the corresponding average pay-off is (keep two decimals).

Investment A

Investment B

Investment C Scenario A

5,000

8,000

0 Scenario B

8,000

-1,000

2,000 Scenario C

-2,000

6,500

10,500 QUESTION 6

1.

Sales for the past eight quarters is given in the table below. Calculate the Seasonality

Index for the second quarter. (Keep two decimals)

Period

Sales

2013 Q1 27 2013 Q2 32 2013 Q3 45 2013 Q4 54 2014 Q1 20 2014 Q2 41 2014 Q3 62 2014 Q4 68 2. QUESTION 7

1.

Given the following output from solver, which of the following statements are true?

(Choose ALL the true statements. Choosing False statements will incur negative marking) The constraint regarding the maximum number of passengers that can be

carried is not binding.

None of the constraints are binding.

The constraint regarding the minimum number of tourist passengers is not

binding

The constraint regarding the minimum number of first class passengers is

binding. QUESTION 8

1.

The frequency distribution of height of basketball players are given below. Find the

two missing numbers based on the information given below:

Cumulati

Height

Frequenc ve

(Upper

y

Frequenc

limit)

y 60

65

70

75

80

85

2. 6

4

11

7

16 6

35

39

57

QUESTION 1

1.

Refer to the decision tree attached. The pay-offs are profit values under each

scenario. The best decision is

(type "A" for Invest and "B" for Do not Invest)

and the expected pay-off is . QUESTION 2

1.

Use Exponential smoothing with alpha=0.3 to forecast the sales for 2015 using the

data given below (Use two decimal points):

2012

2013

2014 184

169

175 2. QUESTION 3

1.

Refer to the pay-off matrix consisting of profit information below. Calculate the

Opportunity Loss if you choose Investment C and Scenario A occurs.

Scenario A

Scenario B

Scenario C Investment A 8,000 10,000 -2,000 Investment B 4,000 -1,000 3,000 Investment C -1,000 2,000 5,000 QUESTION 4

1.

Refer to the image below. As you can see the minimum number of first class tickets

to be sold is currently 12. The minimum number of first class tickets has been increased to

18 (plus six). Profit will then increase or decrease by (use two decimals. Use + sign for

increase in profit and – sign for decrease in profit. For example type "+100" for an increase

of 100 in profit and type "-100" for a decrease of 100 in profit) QUESTION 5 1. Refer to the pay-off matrix consisting of profit information below. Based on Average

pay-off strategy, the investment to be chosen is

(mention the

investment letter) and the corresponding average pay-off is (keep two decimals).

Investment A

Investment B

Investment C Scenario A

5,000

8,000

0 Scenario B

8,000

-1,000

2,000 Scenario C

-2,000

6,500

10,500 QUESTION 6

1.

Sales for the past eight quarters is given in the table below. Calculate the Seasonality

Index for the second quarter. (Keep two decimals)

Period

Sales

2013 Q1 27 2013 Q2 32 2013 Q3 45 2013 Q4 54 2014 Q1 20 2014 Q2 41 2014 Q3 62 2014 Q4 68 2. QUESTION 7

1.

Given the following output from solver, which of the following statements are true?

(Choose ALL the true statements. Choosing False statements will incur negative marking) The constraint regarding the maximum number of passengers that can be

carried is not binding.

None of the constraints are binding.

The constraint regarding the minimum number of tourist passengers is not

binding

The constraint regarding the minimum number of first class passengers is

binding. QUESTION 8

1.

The frequency distribution of height of basketball players are given below. Find the

two missing numbers based on the information given below:

Cumulati

Height

Frequenc ve

(Upper

y

Frequenc

limit)

y 60

65

70

75

80

85

2. 6

4

11

7

16 6

35

39

57

QUESTION 1

1.

Refer to the decision tree attached. The pay-offs are profit values under each

scenario. The best decision is

(type "A" for Invest and "B" for Do not Invest)

and the expected pay-off is . QUESTION 2

1.

Use Exponential smoothing with alpha=0.3 to forecast the sales for 2015 using the

data given below (Use two decimal points):

2012

2013

2014 184

169

175 2. QUESTION 3

1.

Refer to the pay-off matrix consisting of profit information below. Calculate the

Opportunity Loss if you choose Investment C and Scenario A occurs.

Scenario A

Scenario B

Scenario C Investment A 8,000 10,000 -2,000 Investment B 4,000 -1,000 3,000 Investment C -1,000 2,000 5,000 QUESTION 4

1.

Refer to the image below. As you can see the minimum number of first class tickets

to be sold is currently 12. The minimum number of first class tickets has been increased to

18 (plus six). Profit will then increase or decrease by (use two decimals. Use + sign for

increase in profit and – sign for decrease in profit. For example type "+100" for an increase

of 100 in profit and type "-100" for a decrease of 100 in profit) QUESTION 5 1. Refer to the pay-off matrix consisting of profit information below. Based on Average

pay-off strategy, the investment to be chosen is

(mention the

investment letter) and the corresponding average pay-off is (keep two decimals).

Investment A

Investment B

Investment C Scenario A

5,000

8,000

0 Scenario B

8,000

-1,000

2,000 Scenario C

-2,000

6,500

10,500 QUESTION 6

1.

Sales for the past eight quarters is given in the table below. Calculate the Seasonality

Index for the second quarter. (Keep two decimals)

Period

Sales

2013 Q1 27 2013 Q2 32 2013 Q3 45 2013 Q4 54 2014 Q1 20 2014 Q2 41 2014 Q3 62 2014 Q4 68 2. QUESTION 7

1.

Given the following output from solver, which of the following statements are true?

(Choose ALL the true statements. Choosing False statements will incur negative marking) The constraint regarding the maximum number of passengers that can be

carried is not binding.

None of the constraints are binding.

The constraint regarding the minimum number of tourist passengers is not

binding

The constraint regarding the minimum number of first class passengers is

binding. QUESTION 8

1.

The frequency distribution of height of basketball players are given below. Find the

two missing numbers based on the information given below:

Cumulati

Height

Frequenc ve

(Upper

y

Frequenc

limit)

y 60

65

70

75

80

85

2. 6

4

11

7

16 6

35

39

57

1.

Refer to the decision tree attached. The pay-offs are profit values under each

scenario. The best decision is

(type "A" for Invest and "B" for Do not Invest)

and the expected pay-off is . QUESTION 2

1.

Use Exponential smoothing with alpha=0.3 to forecast the sales for 2015 using the

data given below (Use two decimal points):

2012

2013

2014 184

169

175 2. QUESTION 3

1.

Refer to the pay-off matrix consisting of profit information below. Calculate the

Opportunity Loss if you choose Investment C and Scenario A occurs.

Scenario A

Scenario B

Scenario C Investment A 8,000 10,000 -2,000 Investment B 4,000 -1,000 3,000 Investment C -1,000 2,000 5,000 QUESTION 4

1.

Refer to the image below. As you can see the minimum number of first class tickets

to be sold is currently 12. The minimum number of first class tickets has been increased to

18 (plus six). Profit will then increase or decrease by (use two decimals. Use + sign for

increase in profit and – sign for decrease in profit. For example type "+100" for an increase

of 100 in profit and type "-100" for a decrease of 100 in profit) QUESTION 5 1. Refer to the pay-off matrix consisting of profit information below. Based on Average

pay-off strategy, the investment to be chosen is

(mention the

investment letter) and the corresponding average pay-off is (keep two decimals).

Investment A

Investment B

Investment C Scenario A

5,000

8,000

0 Scenario B

8,000

-1,000

2,000 Scenario C

-2,000

6,500

10,500 QUESTION 6

1.

Sales for the past eight quarters is given in the table below. Calculate the Seasonality

Index for the second quarter. (Keep two decimals)

Period

Sales

2013 Q1 27 2013 Q2 32 2013 Q3 45 2013 Q4 54 2014 Q1 20 2014 Q2 41 2014 Q3 62 2014 Q4 68 2. QUESTION 7

1.

Given the following output from solver, which of the following statements are true?

(Choose ALL the true statements. Choosing False statements will incur negative marking) The constraint regarding the maximum number of passengers that can be

carried is not binding.

None of the constraints are binding.

The constraint regarding the minimum number of tourist passengers is not

binding

The constraint regarding the minimum number of first class passengers is

binding. QUESTION 8

1.

The frequency distribution of height of basketball players are given below. Find the

two missing numbers based on the information given below:

Cumulati

Height

Frequenc ve

(Upper

y

Frequenc

limit)

y 60

65

70

75

80

85

2. 6

4

11

7

16 6

35

39

57

1.

Refer to the decision tree attached. The pay-offs are profit values under each

scenario. The best decision is

(type "A" for Invest and "B" for Do not Invest)

and the expected pay-off is . QUESTION 2

1.

Use Exponential smoothing with alpha=0.3 to forecast the sales for 2015 using the

data given below (Use two decimal points):

2012

2013

2014 184

169

175 2. QUESTION 3

1.

Refer to the pay-off matrix consisting of profit information below. Calculate the

Opportunity Loss if you choose Investment C and Scenario A occurs.

Scenario A

Scenario B

Scenario C Investment A 8,000 10,000 -2,000 Investment B 4,000 -1,000 3,000 Investment C -1,000 2,000 5,000 QUESTION 4

1.

Refer to the image below. As you can see the minimum number of first class tickets

to be sold is currently 12. The minimum number of first class tickets has been increased to

18 (plus six). Profit will then increase or decrease by (use two decimals. Use + sign for

increase in profit and – sign for decrease in profit. For example type "+100" for an increase

of 100 in profit and type "-100" for a decrease of 100 in profit) QUESTION 5 1. Refer to the pay-off matrix consisting of profit information below. Based on Average

pay-off strategy, the investment to be chosen is

(mention the

investment letter) and the corresponding average pay-off is (keep two decimals).

Investment A

Investment B

Investment C Scenario A

5,000

8,000

0 Scenario B

8,000

-1,000

2,000 Scenario C

-2,000

6,500

10,500 QUESTION 6

1.

Sales for the past eight quarters is given in the table below. Calculate the Seasonality

Index for the second quarter. (Keep two decimals)

Period

Sales

2013 Q1 27 2013 Q2 32 2013 Q3 45 2013 Q4 54 2014 Q1 20 2014 Q2 41 2014 Q3 62 2014 Q4 68 2. QUESTION 7

1.

Given the following output from solver, which of the following statements are true?

(Choose ALL the true statements. Choosing False statements will incur negative marking) The constraint regarding the maximum number of passengers that can be

carried is not binding.

None of the constraints are binding.

The constraint regarding the minimum number of tourist passengers is not

binding

The constraint regarding the minimum number of first class passengers is

binding. QUESTION 8

1.

The frequency distribution of height of basketball players are given below. Find the

two missing numbers based on the information given below:

Cumulati

Height

Frequenc ve

(Upper

y

Frequenc

limit)

y 60

65

70

75

80

85

2. 6

4

11

7

16 6

35

39

57