BUS105 Production and Operations Management HW Assignment 4

Question # 00819203 Posted By: Ferreor Updated on: 02/16/2022 08:56 PM Due on: 02/17/2022
Subject Education Topic General Education Tutorials:
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Number 1

Week    Actual # of Patients

1              65

2              62

3              70

4              48

5              63

6              52

 

                A             B             C

W4         0.167     0.16667 0.1

W3         0.25        0.25        0.2

W2         0.25        0.25        0.3

W1         0.333     0.333333              0.4

 

                A             B             C

7              56.756   56.75     56.3

 

A)           Value of forecast is __________

B)            The forecast will ___________ as the weights remain the same

C)            Forecast for week 7 is _______________

 

Number 2

A            

Month  Price Per Chip                    Two month Moving Average in $

January                                $1.80    

February                              $1.67    

March                   $1.70     $1.735

April                       $1.85     $1.685

May                       $1.90     $1.775

June                      $1.87     $1.875

July                        $1.80     $1.885

August                  $1.83     $1.835

 

September                         $1.70     $1.815

October                               $1.65     $1.765

November                          $1.70     $1.675

December                           $1.75     $1.675

B

Month

January               

Price Per Chip   

 

$1.80    

Three month Moving Average in $

February                              $1.67    

March                   $1.70    

April                       $1.85     $1.723

May                       $1.90     $1.740

June                      $1.87     $1.817

July                        $1.80     $1.873

August                  $1.83     $1.857

September                         $1.70     $1.833

October                               $1.65     $1.777

November                          $1.70     $1.727

December                           $1.75     $1.683

C                                            

                Error for Two Month      Error For Three Month

                0.0305  

                0.165     0.127

                0.125     0.16

                0.005     0.054

                0.085     0.073

                0.005     0.026

                0.115     0.133

                0.115     0.126

                0.025     0.026

                0.075     0.067

Total      0.75        0.79

MAD Total           0.075     0.088

MAD For the 2 Month Total is performing better than MAD for month 3.

 

D            

                                                a=0.1                                                     a=0.3                                     a=0.5                                    

Month  Price Per Chip                    Forecast                               Error                      Forecast               Error                      Forecast                               Error     

January                                $1.80                     1.8                          0              1.8                          0                              1.8                          0

February                              $1.67                     1.8                          0.13        1.8                          0.13                        1.8                          0.13

March                   $1.70                     1.79                        0.09        1.76                        0.06                        1.74                        0.04

April                       $1.85                     1.78                        0.07        1.74                        0.11                        1.72                        0.13

May                       $1.90                     1.79                        0.11        1.77                        0.13                        1.79                        0.12

June                      $1.87                     1.8                          0.07        1.81                        0.06                        1.84                        0.03

July                        $1.80                     1.8                          0              1.83                        0.03                        1.86                        0.06

August                  $1.83                     1.8                          0.03        1.82                        0.01                        1.83                        0

September                         $1.70                     1.81                        0.11        1.82                        0.12                        1.83                        0.13

October                               $1.65                     1.8                          0.15        1.79                        0.14                        1.76                        0.11

November                          $1.70                     1.79                        0.08        1.75                        0.05                        1.71                        0.01

December                           $1.75                     1.77                        0.02        1.73                        0.02                        1.7                          0.05

Totals                                                                                    0.86                                        0.86                                                        0.81

MAD                                                                                      0.72                                        0.072                                                     0.675

 

 

 

1              2              3              4              5              6              7              8              9              10           11           12

                                Price                     

                2 Month Moving Average                                           

 

 

Number 3

A            

With a=0.6 Year                               

Actual                  

Forecast                              

Error                     

Absolute

               

1              At          

45           Ft           

41           At-Ft     

4              Error

4

                2                              50                           43.4                        6.6          6.6

                3                              52                           47.36                     4.64        4.64

                4                              56                           50.14                     5.86        5.86

                5                              58                           53.66                     4.34        4.34

                6                                                              56.26                                    

25.44

Calculate 0.6 Forecast

Calculate 0.9 Forecast

2              44.6       

3              49.46    

4              51.75    

5              55.75    

 6             57.76

 

B   Year Actual   Forecast               Error      Absolute At        Ft            At-Ft      Error

1              45

2              50

3              52

4              56           49           7              7

5              58           52.67     5.33        5.33

6              55.33

12.33

Calculation of forecast  

 

C            

Year      

1              Actual At             

45          

y*t        

45          

t^2        

1              Forecast               Error 42.6+3.2*t                At-Ft

45.8       

-0.8        Absolute Error  

0.8

                2                              50                           100                         4              49           1                              1

                3                              52                           156                         9              52.2        -0.2                        0.2

                4                              56                           224                         16           55.4        0.6                          0.6

                5                              58                           290                         25           58.6        -0.6                        0.6

                15                           261                         815                         55                                                           3.2

b1                           160/50                                                                                                                                 

bo=                                                                                                                                                                       

Forecast for 6

 

D                            

a=0.6                    

a=0.9                    

3 year moving                   

 Trend Projectio

 

Number 4 Method 1 Week         

Method 1                           

Actual  

E                             

E^2

1                              0.9          0.7                          0.2          0.04

2                              1.05        1                              0.05        0.0025

3                              0.95        1                              0.05        0.0025

4                              1.2          1                              0.2          0.04

                                                                                0.5          0.085

MAD                      ______                                                               

MSE                       _____                                                  

Method 2                                                                                           

Week    Method 2                            Actual   E                              E^2

1                              0.8          0.7                          0.1          0.01

2                              1.2          1                              0.2          0.04

3                              0.9          1                              0.1          0.01

4                              1.11        1                              0.11        0.0121

                                                                                0.51        0.0721

MAD                      _______                                                            

MSE                       _________                                                       

Number 5                                                                                           

Time Period        Month                  Income                                

1              February                              70                                          

2              March                   68.5                                       

3              April                       64.8                                       

4              May                       71.7                                       

5              June                      71.3                                       

6              July                        72.8                                       

Month February               Income

70           Unajusted

65           Trend   

0              Adjusted

65

 

March   68.5        65.65     0.1          65.6

April       64.8        65.89     0.16        66.05

May       71.7        65.92     0.13        66.06

June      71.3        66.62     0.25        66.87

July        72.8        67.31     0.33        67.65

August                  68.16     0.44        68.6

Forecast for M  ___________                  

Estimate              __________                                    

Adjusted Forec ________                                          

 

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