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Consider a refinery that produces three types of motor oil: Standard, Ex- tra, and Super. The...

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Basic Math

Consider a refinery that produces three types of motor oil:Standard, Ex- tra, and Super. The selling prices are $9.00, $13.00,and $19.00 per barrel respectively. These oils can be made fromthree basic ingredients; crude oil, paraffin, and filler. The costsof the ingredients are $19.00, $9.00 and $11.00 per barrel,respectively. Company engineers have developed the followingspecifications for each oil Standard-60% paraffin, 40% fillerExtra-at least 25% crude oil and no more than 45% paraffin Super-atleast 50% crude oil and no more than 25% paraffin The CO2 emissionsof Standard, Extra, and Super oils are 13.0, 11.8, and 8.0 unitsper barrel. With a supply capacity of 110, 90, and 70 thou- sandbarrels per week for crude oil, paraffin, and filler, what shouldbe blended in order to maximize profits as well as satisfy therequirements of the EPA to minimize the CO2 emissions from all theproducts of this industry? Solve the problem using the goalprogramming approach, if th goals are to have a profit greater thanor equal to $5 per barrel and CO2 emissions less than or eaual to10 units per barrel

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