Chandler Oil has 5000 barrels of crude oil 1 and 10,000 barrels of crude oil 2 available. Chandler sells gasoline and heating oil. These products are produced by blending the two crude oils. Each barrel of crude oil 1 has a quality level of 10 and each barrel of crude oil 2 has a quality level of 5. Each barrel of gasoline must have a quality level of at least 8, whereas each barrel of heating oil must have a quality level of at least 6. Quality level of gasoline and heating oil are calculated separately as the weighted average of their inputs. Gasoline sells for $25 per barrel and heating oil sells for $20 per barrel. Crude oil 1 costs $5 per barrel and crude oil 2 costs $3 per barrel. Chandler wants to maximize its profits. The decision variables are provided for you: G} = # of barrels of crude i in gasoline Hi = # of barrels of crude i in heating oil where i = 1, 2 You MUST use the variables described above in your answers to the questions. No credit if you make up new variables! Write the question number and your answer to the following: 1. Write the objective function for Chandler. Do not simplify. 2. Write the crude 1 availability constraint. Do not simplify. 3. Write the quality constraint for gasoline. Do not simplify