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1. A company blends two gasolines from Milltown Fuels and Newmarket Petrol (in- puts) into two commercial products, Super and Regular gasoline (outputs). For the inputs, the octane ratings, the vapour pressures in kilopascals, and the amounts available in cubic metres (m) and their prices are known. These are: Input Gasoline Milltown Newmarket Octane Vapour Amount Rating Pressure (kPa) Available (m) 106 36 12,150 80 63 10,800 Buying Price ($ per m3) 275 250 For the Super and Regular gasolines the requirements are: Output Minimum Gasoline Octane Rating Super 94 Regular 87 Maximum Minimum Selling Vapour Amount Price Pressure (kPa) Required (m) $ per m) 42 7,000 305 13,500 260 55 We define the variables as follows: M and N are respectively the amount of gasoline in m purchased from Milltown Fuels/Newmarket Petrol. S and R are respectively the amount of Super/Regular gasoline in m blended and sold. MS, MR, NS, and NR are respectively the amounts in m of Milltown/Newmarket gasoline used to make Super/Regular gasoline