well this is the whole question.

It's a maximization problem and the profit of the three different products are to be maximized

Please solve some parts of it even if you cant provide the whole solution

it is a blending problem

The 3 products are created by blending the 2 input oils which have 82 and 98 octane per unit

So if you take one of each unit it will result with (1*82+1*98)/2=2 units of 90 octane

Generally the modelling is more important than the answer

Maximize the Profit

with consideration to the constraints

3 An oil company produces three types of gasoline, stock gasoline, premium gasoline and super gasoline. The difference between the gasoline is the octane number. The gasoline are produced by feeding crude oil into a distillation tower to make feedstock oil. This feedstock oil may go into a cracker unit to produce stock gasoline. To produce the different types of gasoline the feedstock oil and stock gasoline are finally blended in a blender unit The different stages in the production have different maximum capacities and efficiency given in the tables below. There you also have the final net profit for each barrel of the final product Stage Efficiency Octane Capacity Input Output Distillation 82 1,500,000 crude oil feedstock Cracker 5 200,000 feedstock stock Blender Various Unlimited feedstock, stock final product .2 98 Final product Octane Profit Demand Stock 87 6.70 50,000 Premium 89 7.20 30,000 Super 92 8.10 40,000 The different stages can process at most the given capacity of barrels of oils per day. For each barrel of oil put into each stage it produce the efficiency barrels as output at the given octane value. To produce the final product the company blends feedstock oil with stock gasoline so that the octane value is at least the given octane value for the final product. The octane value of a blend is calculated as the proportional average between the types of oils included. The company can only sell at most as many barrels as the given demand. Formulate a model that decides how much of each type of the final product should be produced per day to maximize the total profit. (6p) To produce the final product the company blends feedstock oil with stock gasoline so that the octane value is at least the given octane value for the final product. The octane value of a blend is calculated as the proportional average between the types of oils included. 3 An oil company produces three types of gasoline, stock gasoline, premium gasoline and super gasoline. The difference between the gasoline is the octane number. The gasoline are produced by feeding crude oil into a distillation tower to make feedstock oil. This feedstock oil may go into a cracker unit to produce stock gasoline. To produce the different types of gasoline the feedstock oil and stock gasoline are finally blended in a blender unit The different stages in the production have different maximum capacities and efficiency given in the tables below. There you also have the final net profit for each barrel of the final product Stage Efficiency Octane Capacity Input Output Distillation 82 1,500,000 crude oil feedstock Cracker 5 200,000 feedstock stock Blender Various Unlimited feedstock, stock final product .2 98 Final product Octane Profit Demand Stock 87 6.70 50,000 Premium 89 7.20 30,000 Super 92 8.10 40,000 The different stages can process at most the given capacity of barrels of oils per day. For each barrel of oil put into each stage it produce the efficiency barrels as output at the given octane value. To produce the final product the company blends feedstock oil with stock gasoline so that the octane value is at least the given octane value for the final product. The octane value of a blend is calculated as the proportional average between the types of oils included. The company can only sell at most as many barrels as the given demand. Formulate a model that decides how much of each type of the final product should be produced per day to maximize the total profit. (6p) To produce the final product the company blends feedstock oil with stock gasoline so that the octane value is at least the given octane value for the final product. The octane value of a blend is calculated as the proportional average between the types of oils included