Binders Beverage & Landscaping Essay

To help Bill Binder pick the best route to take his bottles from his plant to his w atomic number 18house we can use the shortest path model. The shortest path model finds how to transport items/people from on location to another while minimizing the total keep traveled, time taken or some other measures. In Bills case we will besmirch the time it takes to transport his bottles from his plant at node 1 to his warehouse at node 10. A road map for Binders Beverage with the nodes and distances stated in minutes is depicted below.Binders Beverage Road MapThe solution of Bills problem shows that the shortest path (measured in terms of time) from the plant to the warehouse is 60 minutes and involves traveling through nodes 2, 4, 8 and 9. The Excel Solution from Solver is attached separately. At node one which is the supply node the net point is -1. At node 10 which is the demand node the net fly the coop is 1. All other nodes are transshipment nodes and hence have a net flow equal to zero. Below you can find a screenshot from Excel.CASE STUDY, BALAKRISHNAN, CHAPTER 2GOLDING LANDSCAPING AND PLANTS1. LP Problem FormulationIn this case study there are four decision variables.C30 = Pounds of C-30 to put in a fifty bag fertilizerC92 = Pounds of C-92 to put in a fifty bag fertilizerD = Pounds of D-21 to put in a fifty bag fertilizerE = Pounds of E-11 to put in a fifty bag fertilizerThe objective is to minimize the comprise of chemical compounds used and can be written asMinimize Total Cost = $0.12(C30) + $0.09(C92) + $0.11(D) + $0.04(E)subject to following unobtrusivenesssa) E= 0.15 (C30+C92+D+E)b) C92+C30= 0.45 (C30+C92+D+E)c) D+C92= 02. The Best solution is to use 7.5 of C-30, 15 of C-92 and 27.5 of E-11 and not to include D-21 in the mix at all. This will result in a cost of $3.35 per 50 bag.Excel Solution is attached as a separate file. Screenshots of solution and formulas are given below.All constraints are binding with the exception of constraint (a), which i ndicated that E-11 should at least comprise 15% of the blend. This would mean the lower bound of E-11 to be used was 7.5, where in fact we ended up using 27.5 of E-11. The disparity of 20 is shown in the answer report as a slack of 20.