Question 10 10 Sancool has three different proces, amely Process A Band C These can be used to manufacture various types of gasoline. Each proces involves being in the company's catalytic cracker Running process for an hour cost R100 and requires 2 barrels of crude 1 and 3 bure of crade 2. The output from running process for an hour 2 barrel of land barrel of 2 Running process for an be cost R12 Andries barrels of crude and barrel of crude 2. The output from running process for an hour is 3 hand of pus 2 Page 9 Assignment 1 DSC2006/501/5/2001 Running process for an hour costs 2.0 and requires 2 barda of crude 2 anilhares of 2. The output from running process for an hour 2 hard of 3 The following tabletes the quantity of crude that may purchased each week and their unit price Quantity of crude with their unit price Crude Quantity (barrel) Purchase Price (R/barrel) 200 60 2 300 30 All produced can be sold at the following pre-barrel prices Selling price of Gas Selling price (R/harrel) 1 270 2 300 3 The management of Sunico all would like to maximiw profit, eming that only 100 hours of time on the catalytic racer are availableachwek Lat. And the the decision variables that represent the number of hours process A, B and respectively run per week, then do the following fak (a) Find a mathematical expense of the total teme and the total procering cont. (b) Derbuce the objective function that maximus the profit. (0) Formulate all functional constraints of this problem. (1) Deduce an LP model in its standard form Question 10 101 Suncool has three difercat procowe, amely Pro ABC The proces can be wed to manufacture varic types of gasoline. Each process involding in the catalyti Crack Running procesa A for an hour cat R100 and equires 2 barrels of crude 13 burrel of crul 2. The output from running proce Afe an hour is 2 lure of Running process for an hour co R 120 and requirex I Bured crabe 1 and 3 bure of crude 2. The output from running rooms for an hour is unde? Prof Assignment DSC013/2021 Running process for an borcum 2 tres results of 2. The output from running proces for an hour is 2 of 3 The following table gives the quantity of crude that may purchased cards and their unit peices Quantity of crude with their unit price Crude Quantity (barrel Purchase Price (R/harre 1 200 300 All gan peradaeed can be sold at the following per-barrel prices Selling price of Gas Selling price (R/barrel) 1 30 3 The management of Suncool would like to mugimise prodit, auming that aly 100 bars of time in the catalytic credere wilable each work. Lot and be the decision variables that represent the number of hours process A. B and respectively rum per week, then do the following tak (a) Find a mathematical expension of the stal novo amid the total peoceering cont. (5) Dechace the objective function that maximuses the profit (c) Formulate all functional constraints of the problem. (d) Deduce an Landel in its standard form