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Question 1 ChocoStorm produces two types of chocolate: ChocoA and ChocoB. They are mainly made from milk and cocoa. The supply and demand of these

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Question 1 ChocoStorm produces two types of chocolate: ChocoA and ChocoB. They are mainly made from milk and cocoa. The supply and demand of these two raw materials are shown in the table below. ChocoA and ChocoB's prots per kilogram are $6 and $8, respectively. ChocoStorm wants to maximise prots. Kgs of raw material needed to make one Maximal daily raw material kg of supply (kgs) ChocoA ChocoB Milk 1 2 3 Cocoa 1 1 2 (a) Develop a linear programming model for the problem. Assume that the chocolate produced every day can be sold out on the same day. (b) If you have a Solver sensitivity report for the model you developed in Part (a), explain how to use the relevant information in the report to answer the following questions. (i) How does a 0.5 kg increase in milk supply affect maximum prot? (ii) If ChocoA's prot per kilogram becomes $7, will the original solution remain optimal? (25 marks)

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