a) Formulate an algebraic model for the problem. Submit this in Word or pdf.

(b) Use LINGO to solve this model, including your name and student

number on the model. If using LINGO, submit files for the model and the solution

for each question.

(c) State the solution in words. Submit this in Word or p

1. A company blends two gasolines from Avalon Energy and Bonavista Petroleum (in- puts) into two commercial products, Premium 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 Avalon Bonavista Octane Vapour Rating Pressure (kPa) 105 35 82 66 Amount Available (m2) 25,000 38.000 Buying Price ($ per m) 310 240 For the Premium and Regular gasolines the requirements are: Business 2400, Winter 2021, Assignments written by Dr. David M. Tulett 2 Output Gasoline Minimum Octane Rating 95 87 Maximum Minimum Selling Vapour Amount Price Pressure (kPa) Required (m) ($ per m) 43 19,000 350 58 27,000 290 Premium Regular We define the variables as follows: A and B are respectively the amount of gasoline in m purchased from Avalon Energy/Bonavista Petroleum. P and R are respec- tively the amount of Premium/Regular gasoline in m blended and sold. AP, AR, BP, and BR are respectively the amounts in m of Avalon/Bonavista gasoline used to make Premium/Regular gasoline. 1. A company blends two gasolines from Avalon Energy and Bonavista Petroleum (in- puts) into two commercial products, Premium 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 Avalon Bonavista Octane Vapour Rating Pressure (kPa) 105 35 82 66 Amount Available (m2) 25,000 38.000 Buying Price ($ per m) 310 240 For the Premium and Regular gasolines the requirements are: Business 2400, Winter 2021, Assignments written by Dr. David M. Tulett 2 Output Gasoline Minimum Octane Rating 95 87 Maximum Minimum Selling Vapour Amount Price Pressure (kPa) Required (m) ($ per m) 43 19,000 350 58 27,000 290 Premium Regular We define the variables as follows: A and B are respectively the amount of gasoline in m purchased from Avalon Energy/Bonavista Petroleum. P and R are respec- tively the amount of Premium/Regular gasoline in m blended and sold. AP, AR, BP, and BR are respectively the amounts in m of Avalon/Bonavista gasoline used to make Premium/Regular gasoline