(a) formulate an algebraic model for the problem. Submit this in word or pdf.

(b) use lingo to solve this model.

(c) state the solution in words. Submit this in word or pdf.

1. A company blends two gasolines from Xena Fuels and Yuri Petrol (inputs) 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 Octane Vapour Amount Buying Price Gasoline Rating Pressure Available (m) (Sperm) (kPa) Xena 106 36 13,500 280 Yuri 80 63 21,000 230 For the Super and Regular gasolines, the requirements are: Output Minimum Maximum Minimum Selling Gasoline Octane Vapour Amount Price Rating Pressure Required (m) (S per (kPa) m) Super 94 42 6,000 310 Regular 87 55 15,000 270 We define the variables as follows: X and Y are respectively the amount of gasoline in m purchased from Xena Fuels/Yuri Petrol. S and Rare respectively the amount of Super/Regular gasoline in m blended and sold. XS, XR, YS, and YR are respectively the amounts in m of Xena/Yuri gasoline used to make Super/Regular gasoline