a) Explain why a linear programming model would be suitable for this case study.
[5 marks]
b) Formulate a Linear Programming (LP) model for the factory that minimises the total
cost of producing the beverage while satisfying all constraints.
[10 marks]
c) Use the graphical method to find the optimal solution. Show the feasible region and
the optimal solution on the graph. Annotate all lines on your graph. What is the minimal cost for the product?
[10 marks]
Note: you can use graphical solvers available online but make sure that your graph is
clear, all variables involved are clearly represented and annotated, and each line is clearly
marked and related to the corresponding equation.
d) Is there a range for the cost ($) of A that can be changed without affecting the optimum solution obtained above?
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