Wine in Your Knapsack?
We pose three Knapsack Problems (KPs) to select the rank-maximizing subset of wines subject to budget and quantity constraints. The first problem seeks the subset of wines, from a single cultivar (zinfandel) that maximizes the sum of rank subject to a budget constraint. We modify this problem by adding an equality constraint on the number of bottles that must be chosen. The third problem seeks to maximize the sum of ranks from three different cultivars (cabernet sauvignon, pinot noir, and zinfandel) subject to a budget constraint and then a budget and minimum bottle constraints for each cultivar. The sum of rank maximization problems may have multiple solutions. We also pose two expenditure minimization problems, subject to achieving the maximum sum of ranks. We also explore how a KP might be formulated when wine is viewed as an investment.
|Date of creation:||2010|
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- Harry R Clarke & William J. Reed, 1989.
"The Tree-Cutting Problem in a Stochastic Environment: The case of Age Dependent Growth,"
1989.01, School of Economics, La Trobe University.
- Clarke, Harry R. & Reed, William J., 1989. "The tree-cutting problem in a stochastic environment : The case of age-dependent growth," Journal of Economic Dynamics and Control, Elsevier, vol. 13(4), pages 569-595, October.
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