Question
develop a quantitative model (linear programming) using the data, analyse and interpret the model using excel solver and report your findings. we need to identify
develop a quantitative model (linear programming) using the data, analyse and interpret the model using excel solver and report your findings. we need to identify an objective function clearly stating the purpose of the quantitative model. we should be able to define the variables under consideration for the quantitative model development. Further, we should be to collect relevant information from stakeholders for developing the constraints. The report should outline the stakeholder's analysis for data collection and developing constraints. The developed model should be analysed using the Excel solver function to generate an optimal solution. The report should outline the step-by-step procedure of the solver function. The final output should be presented to management for decision analysis. You are required to set up the MS Excel dashboard to assist any user to make decisions. we are to provide quantitative model for managerial decision making with optimal outcomes for the organisation by using Excel solver tools and validate the importance of specific analysis and interpretation for the management decisions
The managerial decisions you make in relation to this assessment must be made with regards to any one of the following 6. Multiperiod Cashflow Problems
Let Xij(i=1,2j=1,2,...5)be the optimized number of the shoes send by distribution center Ai to store Bj: | |||||||||||||||
Store Distrubition center | Melbourne | Sydney | Sunshine Coast | Adelaide | Perth | Capacity | |||||||||
Melbourne | 0.4 | 1 | 1.3 | 1 | 1.5 | 6000 | |||||||||
Sydney | 0.8 | 0.5 | 0.6 | 1.2 | 1.4 | 3500 | |||||||||
order number | 3000 | 4000 | 500 | 600 | 650 | ||||||||||
Objective function | |||||||||||||||
min=0.4*x(1,1)+1*x(1,2)+1.3*x(1,3)+1*x(1,4)+1.5*x(1,5)+0.8*x(2,1)+0.5*x(2,2)+0.6*x(2,3)+1.2*x(2,4)+1.4*x(2,5) | |||||||||||||||
Constrains | |||||||||||||||
C1 | X(1,1)+X(1,2)+X(1,3)+X(1,4)+X(1,5)<=6000 | ||||||||||||||
C2 | X(2,1)+X(2,2)+X(2,3)+X(2,4)+X(2,5)<=3500 | ||||||||||||||
C3 | X(1,1)+X(2,1)>=3000 | ||||||||||||||
C4 | X(1,2)+X(2,2)>=4000 | ||||||||||||||
C5 | X(1,3)+X(2,3)>=500 | ||||||||||||||
C6 | X(1,4)+X(2,4)>=600 | ||||||||||||||
C7 | X(1,5)+X(2,5)>=650 | ||||||||||||||
C8 | Xij>=0 | ||||||||||||||
Objective function | |||||||||||||||
Min | z= | 5575 | |||||||||||||
Decision variable | X(1,1) | X(1,2) | X(1,3) | X(1,4) | X(1,5) | X(2,1) | X(2,2) | X(2,3) | X(2,4) | X(2,5) | |||||
Coefficients | 0.4 | 1 | 1.3 | 1 | 1.5 | 0.8 | 0.5 | 0.6 | 1.2 | 1.4 | |||||
Value | 3000 | 1000 | 0 | 600 | 650 | 0 | 3000 | 500 | 0 | 0 | |||||
Subject to | LHS | RHS | |||||||||||||
C1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 5250 | <= | 6000 | ||
C2 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 3500 | <= | 3500 | ||
C3 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 3000 | >= | 3000 | ||
C4 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 4000 | >= | 4000 | ||
C5 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 500 | >= | 500 | ||
C6 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 600 | >= | 600 | ||
C7 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 650 | >= | 650 |
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