4. An gasoline blending operation has three types of inputs, with the following prices and charac- teristics: Input Price Octane Vapour # per litre Rating Pressure (kPa) 1 $0.72 84 56 2 $0.80 93 48 3 $0.85 109 37 The inputs are blended to produce two outputs, with the following outputs and promised speci- cations: Output Price Minimum Maximum Vapour # per litre Octane Rating Pressure (kPa) 1 $0.83 86 54 2 $0.91 95 39 The blending operation has a capacity of 1,000,000 litres/day overall. Subject to the overall capacity, up to 500,000 litres/day of any input, or 650,000 litres/day of any output can be handled. We can assume that there are no losses in the blending process, and that the characteristics of the outputs are a weighted average (by volume) of the characteristics of the inputs