Oilco produces three types of gasoline: regular, unleaded, and premium. All three are produced by combining lead and crude oil brought in from Alaska and Texas. The required sulphur content, octane levels, minimum daily demand (in gallons), and sales price per gallon of each type of gasoline are given in Table 3. The crude brought in from Alaska is made by blending two types of crude: Alaska1 and Alaska2. The Alaska crude is blended in Alaska and shipped via pipeline to Oilco's Texas refinery. At most, 10,000 gallons of crude per day can be shipped from Alaska. The sulphur content, octane level, daily maximum amount available (in gallons) and purchase cost (per gallon) for each type of Alaska crude, Texas crude, and lead are given in Table 4. Of course, unleaded gasoline can contain no lead. Formulate amodel to help Oilco maximize the daily profit obtained fromselling gasoline(The question is taken from: Wayne Winston, Operations Research : Algorithms and Applications4thedition. Please feel free to find it and use the book information for your answer)

a)What kind of question is this(linear programming, transportation, assignment, nonlinear, regression?)Why? Please provide proof for your answer.

b)Please verbally define your objective function; decision variables, and constraints.

c)Create the model

d)Solve the model in Solver

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