a) formulate an algebraic model for the question.

b) use LINGO to solve the model, please be very detailed with steps.

c) state solution in words.

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 (m3) 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 Gasoline Minimum Octane Rating 94 87 Maximum Minimum Selling Vapour Amount Price Pressure (kPa) Required (m3) ($ per m3) 42 7,000 305 55 13,500 260 Super Regular 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 m3 blended and sold. MS, MR, NS, and NR are respectively the amounts in m3 of Milltown/Newmarket gasoline used to make Super/Regular gasoline