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URGENT!!!!! Can someone please kindly answer this with the answers and working. i would appreciate it that it could be done today. thanks alot Question

URGENT!!!!! Can someone please kindly answer this with the answers and working. i would appreciate it that it could be done today. thanks alot image text in transcribed
Question 1.B: Petrol Inc. produces two types of petrol, PetroLight and HeavyFuel, from two types of oil (Brent Blend and West Texas Intermediate). Each litre of PetroLight and HeavyFuel must contain at least 40% and 60% of West Texas Intermediate, respectively. A litre of PetroLight sells for 1.00, whereas Petrol Inc. can demand 1.10 per litre of HeavyFuel . This week, Petrol Inc. has 2,000 litres of Brent Blend and 1,500 litres of West Texas Intermediate available for production, respectively. (a) Formulate a Linear Program that determines the revenue-maximising production mix for Petrol Inc. Do not solve the problem! [10 points) (b) Assume now that Petrol Inc. can purchase further West Texas Intermediate at the following price levels: For the first 500 litres, Potrol Inc. has to pay 0.40 per litre. For the next 250 litres, Petrol Inc. has to pay 0.30 per litre. For every further litre, Petrol Inc. has to pay 0.25. Formulate a Mixed-Integer Linear Program that determines the profit-maximising production mix for Petrol Inc. with the option to purchase additional West Texas Intermediate as indicated above. Assume that the existing quantities of 2,000 litres Brent Blend and 1,500 litres West Texas Intermediate are "sunk costs" and hence should not appear as costs in the optimisation problem. Do not solve the problem! (10 points) (c) Consider the setting of part (b), but assume that the price structure is increasing: For the first 500 litres, Petrol Inc. has to pay 0.40 per litre. For the next 250 litres, Petrol Inc. has to pay 0.45 per litre. For every further litre, Petrol Inc. has to pay 0.55. Would the optimisation problem simplify, and if so, how? Do not solve the problem! [5 points)

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