Construction of Golf Resort - A Report on Cunningham Holdings Limited

Construction of Golf Resort - A Report on Cunningham Holdings Limited
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Part 1
Action Plan
I. Identification of the decision variables
The decision variables under the Cunningham golf resort project are the number of
golf holes to be constructed and the nature of the clubhouse to be constructed.
Let this be represented by the variables as indicated below.
x1 ; Straight par 5
x2 ; Dogleg par 5
x3 : Straight par 4
x4 : Dogleg par 4
x5 : Long par 3
x6 : Short Par 3
y ; Standrad clubhouse
w ; Exclusive clubhouse
II. Identification of the objective function
The objective pf the models is to maximise the total enjoyment index derived rom the
golf holes and the clubhouse.
III. Identification of the constraints
The constraints of the task are grouped into two; frost we have the resource constraint
which include the total land area to be covered by the project ad the total project cost.
Second set of constraint consists of the minimum features that an international golf
resort should have.
IV. Writing the objective function and the constraints as mathematical equations
i. The standard clubhouse model
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Max: 2 x1 +1.5 x2+1.5 x3 +2 x 4+ 1.75 x5 +2.25 x6
Subject to
x1 ≥ 1
x2 ≥ 1
x3 :≥ 2
x4 :≥ 2
x5 ≥ 1
x6 ≥ 1
x1+ x2 ≤ 4
x3+ x4 ≤ 14
x5+ x6 ≤ 4
5 x1+5 x2 +4 x3 +4 x4 +3 x5 +3 x6 ≤ 72
5 x1+5 x2 +4 x3 +4 x4 +3 x5 +3 x6 ≥ 70
x1+ x2 + x3 + x4 + x5+ x6 =18
3 x1+3.5 x2 +2 x3 +2.5 x4 +1 x5 +0.75 x6 ≥ 36
3 x1+3.5 x2 +2 x3 +2.5 x4 +1 x5 +0.75 x6 +2 y ≤ 42
1000000 x1 +1500000 x2+750000 x3 +900000 x4 +600000 x5 +650000 x6 +3500000 y ≤ 20000000
ii. The shareholders’ request
Max: 2 x1 +1.5 x2+1.5 x3 +2 x 4+ 1.75 x5 +2.25 x6+4w
Subject to
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x1 ≥ 1
x2 ≥ 1
x3 :≥ 2
x4 :≥ 2
x5 ≥ 1
x6 ≥ 1
x1+ x2 ≤ 4
x3+ x4 ≤ 14
x5+ x6 ≤ 4
5 x1+5 x2 +4 x3 +4 x4 +3 x5 +3 x6 ≤ 72
5 x1+5 x2 +4 x3 +4 x4 +3 x5 +3 x6 ≥ 70
x1+ x2 + x3 + x4 + x5+ x6 =18
3 x1+3.5 x2 +2 x3 +2.5 x4 +1 x5 +0.75 x6 ≥ 36
3 x1+3.5 x2 +2 x3 +2.5 x4 +1 x5 +0.75 x6 +4 y ≤ 42
1000000 x1 +1500000 x2+750000 x3 +900000 x4 +600000 x5 +650000 x6 +6000000 y ≤ 20000000
iii. Option 1
Max: 2 x1 +1.5 x2+1.5 x3 +2 x 4+ 1.75 x5 +2.25 x6+4w
Subject to
x1 ≥ 1
x2 ≥ 1
x3 :≥ 2
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