following linear programming model maximises profits from the production of two products, represented by x; and X2, subject to a set of constraints: Max Profit:- Resourcel:= 4*x} + 2*x2 5 80 Resource2:= 10*x/+12*x2 2 60 Market Demand:= x/22 X). X R* a) Explain how to solve the model using the graphical solution approach. Use diagrams to support your answer. 18 marks b) Write a short report (max half page) to interpret the optimal solution derived from either your graphical solution approach, or by implementing the LP model in Excel 17 marks c) A cold storage company wishes to distribute the Covid vaccine at minimum cost. Figure 1 shows the location of community vaccination centres in yellow. Potential cold storage depots are shown in blue. If c, is an odd number, assume the depots are at (8,9), the depot at 4 is not used. If c> is even, assume the depots are at {4,8), the depot at 9 is not used. Assume the distance between each pair of locations is represented by diy, for example the distance from location 2 to the depot at 8 is ds. Write a short report (max one page) to explain the use of LP transportation models to model and solve such problems. [10 marks 10 Figure 1 Cold Storage (blue) and Community Vaccination (yellow) Centres following linear programming model maximises profits from the production of two products, represented by x; and X2, subject to a set of constraints: Max Profit:- Resourcel:= 4*x} + 2*x2 5 80 Resource2:= 10*x/+12*x2 2 60 Market Demand:= x/22 X). X R* a) Explain how to solve the model using the graphical solution approach. Use diagrams to support your answer. 18 marks b) Write a short report (max half page) to interpret the optimal solution derived from either your graphical solution approach, or by implementing the LP model in Excel 17 marks c) A cold storage company wishes to distribute the Covid vaccine at minimum cost. Figure 1 shows the location of community vaccination centres in yellow. Potential cold storage depots are shown in blue. If c, is an odd number, assume the depots are at (8,9), the depot at 4 is not used. If c> is even, assume the depots are at {4,8), the depot at 9 is not used. Assume the distance between each pair of locations is represented by diy, for example the distance from location 2 to the depot at 8 is ds. Write a short report (max one page) to explain the use of LP transportation models to model and solve such problems. [10 marks 10 Figure 1 Cold Storage (blue) and Community Vaccination (yellow) Centres
