added exercise file

Tutorial_Scripts/Optimization_DecisionSupport/BIA_T12_Optimization_exercise.Rmd

+---
+title:  'Tutorial 14: Optimization'
+output: html_notebook
+editor_options: 
+  chunk_output_type: inline
+---
+
+This file is part of the lecture Business Intelligence & Analytics (EESYS-BIA-M), Information Systems and Energy Efficient Systems, University of Bamberg.
+
+
+```{r}
+library(lpSolve)
+library(ggplot2)
+```
+
+
+```{r lpSolve default example}
+#
+# Set up problem: maximize
+#   x1 + 9 x2 +   x3 subject to
+#   x1 + 2 x2 + 3 x3  <= 9
+# 3 x1 + 2 x2 + 2 x3  <= 15
+#
+objective.in <- c(1, 9, 1)
+const.mat <- matrix(c(1, 2, 3, 3, 2, 2), nrow=2, byrow=TRUE)
+f.dir <- c("<=", "<=")
+const.rhs <- c(9, 15)
+direction <- "max"
+lp(direction, objective.in, const.mat, f.dir, const.rhs)
+lp(direction, objective.in, const.mat, f.dir, const.rhs)$solution
+```