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Several types of petrol are produced during a petroleum refining process, and a last step combines them to obtain market products with specified quality measures.

Several types of petrol are produced during a petroleum refining process, and a last step combines them to obtain market products with specified quality measures.
Suppose 4 different types of petrol are available, with values for the 2 indexes of quality being 75 and 149,96 and 186,101 and 183, and 103 and 196, respectively.
Costs per litre of petroleum are $0.25, $0.85, $0.92, and $0.47 respectively.
What is the minimal cost (in pounds) of a blend of petrols with a first quality index between 96 and 101 and a second index between 183 and 186?

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