Assigning Art
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 “Who Has Control?” of Rita Losky is displayed | | 0 | otherwise | | | | X6 | 1 | If “Domestication” of Rita Losky is displayed | | 0 | otherwise | | | | X7 | 1 | If “Innocence” of Rita Losky is displayed | | 0 | otherwise | | | | X8 | 1 | If “Aging Earth” of Norm Marson is displayed | | 0 | otherwise | | | | X9 | 1 | If “Wasted Resources” of Norm Marson is displayed | | 0 | otherwise | | | | X10 | 1 | If “Serenity” of Candy Tate is displayed | | 0 | otherwise | | | | X11 | 1 | If “Calm Before the Storm” of Candy Tate is displayed | | 0 | otherwise | | | | X12 | 1 | If “Void” of Robert Bayer is displayed | | 0 | otherwise | | | | X13 | 1 | If “Sun” of Robert Bayer is displayed | | 0 | otherwise | | | | X14 | 1 | If “Storefront Window” of David Lyman is displayed | | 0 | otherwise | | | | X15 | 1 | If “Harley” of David Lyman is displayed | | 0 | otherwise | | | | X16 | 1 | If “Consumerism” of Angie Oldman is displayed | | 0 | otherwise | | | | X17 | 1 | If “Reflection” of Angie Oldman is displayed | | 0 | otherwise | | | | X18 | 1 | If “Trojan Victory” of Angie Oldman is displayed | | 0 | otherwise |
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 “Who Has Control?” of Rita Losky is displayed | | 0 | otherwise | | | | X6 | 1 | If “Domestication” of Rita Losky is displayed | | 0 | otherwise | | | | X7 | 1 | If “Innocence” of Rita Losky is displayed | | 0 | otherwise | | | | X8 | 1 | If “Aging Earth” of Norm Marson is displayed | | 0 | otherwise | | | | X9 | 1 | If “Wasted Resources” of Norm Marson is displayed | | 0 | otherwise | | | | X10 | 1 | If “Serenity” of Candy Tate is displayed | | 0 | otherwise | | | | X11 | 1 | If “Calm Before the Storm” of Candy Tate is displayed | | 0 | otherwise | | | | X12 | 1 | If “Void” of Robert Bayer is displayed | | 0 | otherwise | | | | X13 | 1 | If “Sun” of Robert Bayer is displayed | | 0 | otherwise | | | | X14 | 1 | If “Storefront Window” of David Lyman is displayed | | 0 | otherwise | | | | X15 | 1 | If “Harley” of David Lyman is displayed | | 0 | otherwise | | | | X16 | 1 | If “Consumerism” of Angie Oldman is displayed | | 0 | otherwise | | | | X17 | 1 | If “Reflection” of Angie Oldman is displayed | | 0 | otherwise | | | | X18 | 1 | If “Trojan Victory” of Angie Oldman is displayed | | 0 | otherwise |