In Chandler's blending model suppose there is a chemical ingredient called C1 that both gasoline and heating oil need. Atleast 3% of every barrel of gasoline must be C1, and at least 5% of every barrel of heating oil must be C1. Suppose that 4% of all crude oil 1 is C1 and 6% of crude oil 2 is C1.

Objectives:

Modify the model to incorporate the constraints on C1, and then optimize. Does this make the problem unbounded? Does it change the optimal solution at all? Explain its effect.

Show sensitivity analysis with steps.

Detailed steps in Excel with pictures please. Include all formulas.