8/18/2019 17853826 FJ de KOCK Tut4 Facility Location Template

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Question 1

Inputs - Costs, Capacities, Demands

Fixed Low Fixed High

Supply Region Gauteng Free state KZN Western Cape Cost (R) Capacity Cost (R) Capacity

Johannesburg 2,080 2,290 2,370 2,970 5,550,000 2000 9,250,000 4000

Boe!"onte#n 2,290 2,090 2,270 2,770 5,500,000 2000 9,200,000 4000

$urban 2,350 2,270 2,%20 2,&70 5,500,000 2000 9,200,000 4000

Cape 'o(n 2,9&0 2,770 2,&70 2,220 5,500,000 2000 9,200,000 4000

Demand  %&00 900 800 %000

Decision Variables

Demand Region - Production Allocation (Units) )o( Cap *ants

Supply Region Gauteng Free state KZN Western Cape +%open- +%open-

Johannesburg %&00 900 800 0 0 %

Boe!"onte#n 0 0 0 0 0 0

$urban 0 0 0 0 0 0

Cape 'o(n 0 0 0 %000 % 0

Constraints

Supply Region Excess Capacity 

Johannesburg 700

Boe!"onte#n 0

$urban 0

Cape 'o(n %000

Gauteng Free state KZN Western CapeUnmet Demand  0 0 0 0

Objective Function

Cost = . 24,255,000

Demand RegionProduction and Transportation Cost per Unit 

/#gh Cap*ants

8/18/2019 17853826 FJ de KOCK Tut4 Facility Location Template

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Question 2a

Input Data

Variable Production and Shipping Cost (R / unit) Annual Fixed Cost (R) Tax Rate

German Great !ritain Spain "tal France

!erlin #$$% #&%% #&$% #$'% #'%% R ##%%%%%%% '%%%% &*

Fran+,urt #$%% #-%% #&%% #'%% .%%% R #'%%%%%%% #%%%% &*

"tal #&%% #&%% #&$% #$%% #$% R #$%%%%%%% #%%%% .$*

Spain .%%% .%%% #$$% #-$% #-%% R #$%%%%%%% #%%%% .*

%%% 0$%%% 0$%%% .-%%% '#%%%

Sale price 1 R 0$%%2%% R 0$%%2%% 333 333 333

 Decision Variables and Constraints

4uantit Shipped

German Great !ritain Spain "tal France 5pen (#) / Shut (%) Cost Re6enue

!erlin % 0$%%% % .-%%% % # 800000 . 224,&&0,000 . 324,000,00

Fran+,urt %%% % % % % # 3%00000 . 328,500,000 . 445,500,00

"tal % % % % % % 000 . 0 .

Spain % % 0$%%% % '#%%% # 400000 . 357,450,000 . 5&7,000,00

% % % % % #

'ota Cost . 9%0,&%0,000 . %,33&,500,00

Suppl7ocations

Capa1#t +un#tsper ear-

8emand (units /ear)

CapacitConstraint

8emandconstraint

8/18/2019 17853826 FJ de KOCK Tut4 Facility Location Template

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Question 2a

Input Data

Variable Production and Shipping Cost (R / unit) Annual Fixed Cost (R) Tax Rate

German Great !ritain Spain "tal France

!erlin #$$% #&%% #&$% #$'% #'%% R ##%%%%%%% '%%%% &*

Fran+,urt #$%% #-%% #&%% #'%% .%%% R #'%%%%%%% #%%%% &*

"tal #&%% #&%% #&$% #$%% #$% R #$%%%%%%% #%%%% .$*

Spain .%%% .%%% #$$% #-$% #-%% R #$%%%%%%% #%%%% .*

%%% 0$%%% 0$%%% .-%%% '#%%%

Sale price 1 R 0$%%2%% R 0$%%2%% 333 333 333

 Decision Variables and Constraints

4uantit Shipped

German Great !ritain Spain "tal France 5pen (#) / Shut (%) Cost Re6enue

!erlin % % % % '%%%% # 000 . 254,000,000 . 3&0,000,000

Fran+,urt '-%%% % % % % # 4300000 . 3%0,500,000 . 39%,500,000

"tal #.%%% 0$%%% 0$%%% .-%%% #%%% # 000 . 357,900,000 . 585,000,000

Spain % % % % % % 000 . 0 . 0

% % % % % #

'ota Cost . 922,400,000

Suppl7ocations

Capa1#t +un#tsper ear-

8emand (units /ear)

CapacitConstraint

8emandconstraint

8/18/2019 17853826 FJ de KOCK Tut4 Facility Location Template

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Question 2a

Input Data

Variable Production and Shipping Cost (R / unit) Annual Fixed Cost (R) Tax Rate

German Great !ritain Spain "tal France

!erlin #$$% #&%% #&$% #$'% #'%% R ##%%%%%%% '%%%% &*

Fran+,urt #$%% #-%% #&%% #'%% .%%% R #.%%%%%%% #%%%% &*

"tal #&%% #&%% #&$% #$%% #$% R #$%%%%%%% #%%%% .$*

Spain .%%% .%%% #$$% #-$% #-%% R #$%%%%%%% #%%%% .*

%%% 0$%%% 0$%%% .-%%% '#%%%

Sale price 1 R 0-%%2%% 0#%% #%% %% 4,500

 Decision Variables and Constraints

4uantit Shipped

German Great !ritain Spain "tal France 5pen (#) / Shut (%) Cost Re6enue

!erlin % % % % % % 000 . 0 . 0

Fran+,urt %%% % '%%% % .%%% # 000 . 327,300,000 . 593,&00,000

"tal % 0$%%% % .-%%% $'%%% # 000 . 375,&00,000 . 550,800,000

Spain % % % % % % 000 . 0 . 0

% % -%%% % % #

'ota Cost . 702,900,000 . %,%44,400,000

Suppl7ocations

Capa1#t +un#tsper ear-

8emand (units /ear)

CapacitConstraint

8emandconstraint

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tota

%

2a

2b

3