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Assigning Art

Satisfactory Essays

Case 7-1
Assigning Art
a). Ash decides to allocate $4 million to fund the exhibit. Given the pieces available and the specific requirements from Ash and Celeste, formulate and solve a BIP model to maximize the number of pieces displayed in the exhibit without exceeding the budget. How many pieces are displayed? Which pieces are displayed?
Decision Variable X1 | 1 | If "Perfection" of Colin Zweibell is displayed | | 0 | otherwise | | | | X2 | 1 | If “Burden” of Colin Zweibell is displayed | | 0 | otherwise | | | | X3 | 1 | If “The Great Equalizer” of Colin Zweibell is displayed | | 0 | otherwise | | | | X4 | 1 | If “Chaos Reigns” of Rita Losky is displayed | | 0 | otherwise | | | | X5 | 1 | If …show more content…

d
X9 + X16 + X29 + X30 = 1
Constraint 3 : At least one wire-mesh sculpture displayed if a computer-generated drawing is displayed (>1)
X1 + X2 + X3 + X4 + X5 ≥ 2
Constraint 4 : At least one wire-mesh sculpture displayed if a computer-generated drawing is displayed (=0)
X1 + X2 + X3 + X4 + X5 ≥ 1
Constraint 5 : At least one photo-realistic painting
X14 + X15 + X19 ≥ 1
Constraint 6 : At least one cubist painting
X20 + X27 + X28 ≥ 1
Constraint 7 : At least one expressionist painting
X21 ≥ 1
Constraint 8 : At least one watercolor painting
X10 + X31 + X32 + X33 + X34 ≥ 1
Constraint 9 : At least one oil painting
X12 + X13 + X22 + X23 + X26 ≥ 1
Constraint 10 : the number of paintings to be no greater than twice the number of other art forms
X10 + X11 + X12 + X13 + X14 + X15 + X20 + X21 + X22 + X23 + X26 + X27 + X28 + X31 + X32 +X33 + X34 ≤ 2*(34 – sum of total number of painting)
Constraint 11 : All Ash's painting
X31 + X32 + X33 + X34 = 4
Constraint 12 : All Candy's painting
X10 + X11 = 2
Constraint 13 : At least one David's painting
X14 + X15 ≥ 1
Constraint 14 : At least one Rick's painting
X19 + X20 + X21 ≥ 1
Constraint 15 : David's painting is equal to Rick's painting
X14 + X15 - X19 - X20 - X21 ≥0
Constraint 16 : Only one Ziggy's painting
X29 + X30 ≤ 1
Constraint 17 : At least one piece from a female artist for every two pieces included from a male artist
2(X4 + X5 + X6 + X7 + X10 + X11 + X16 + X17 + X18 + X27 + X28) – (X1 + X2 +X3

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