Standard Oil Company manufactures gasoline and jet fuel by using crude oil that costs $70 per barrel. Processing 1 barrel of crude oil requires 2 hours and yields 0.3 barrels of gasoline and 0.4 barrels of jet fuel. These products can be sold directly or can be purified to make higher quality products that sell for higher prices. One barrel of normal gasoline sells for $100 while further processing it for 3 hours and an additional cost of $30 will turn it into high quality gasoline that sells for $160. One barrel of normal jet fuel sells fon $110 while further processing it for 5 hours and an additional cost of $20 will turn it into high quality jet fuel which sells for $190. Assume he company has 5000 barrels of crude oil and 3000 hours of processing time available and is able to sell everything it produces. a-) Provide the optimization model that would maximize Standard Oil's profit. Hint: You should first define the decision variables for each end product and connect them to the raw material by constraints. b-) Now, assume processing 1 barrel of crude oil yields either 0.3 barrels of gasoline or 0.4 points of jet fuel instead of yielding both at the same time. How would your model change