Question 9 (10 points): Lanka Oil Company has 6,000 gallons of oil 1 and 9,000 gallons of oil 2. The company sells two types of oil products that are heavy gas oil and kerosene. Both products are made by blending oil 1 and oil 2. Oil 1 has a quality level of 9 and oil 2 has a quality level of 3. Heavy gas oil must have an average quality level of at least 7, and kerosene at least 5. Demand for each product must be created by advertising. Each dollar spent advertising heavy gas oil creates 6 gallons of demand and each spent on kerosene creates 9 gallons of demand. Heavy gas oil is sold for $35 per gallon, kerosene for $40 per gallon. Formulate a linear programming model to help Lanka maximize the total profit.