# Essay on Assigning Art

1904 Words Aug 12th, 2013 8 Pages
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
The budget (\$4,000,000) does not cover all the requirements

b) To ensure that the exhibit draws the attention of the public, Celeste decides that it must include at least 20 pieces. Formulate and solve a BIP model to minimize the cost of the exhibit while displaying at least 20 pieces and meeting the requirements set by Ash and Celeste. How much does the exhibit cost? Which pieces are displayed?
New Objective Function : Min. Total Cost
Z = 300,000X1 + 250,000X2 + 125,000X3 + 400,000X4 + 500,000X5 + 400,000X6 + 550,000X7 + 700,000X8 + 575,000X9 + 200,000X10 + 225,000X11 + 150,000X12 + 150,000X13 + 850,000X14 + 750,000X15 + 400,000X16 + 175,000X17 + 450,000X18 + 500,000X19 + 500,000X20 + 500,000X21 + 650,000X22 + 650,000X23 + 250,000X24 + 350,000X25 + 450,000X26 +

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