LP Formulation Examples: Blending Problems

Sunco Oil manufactures $3$ types of gasoline: gas $1,2,$ and $3.$

Each type is blended using $3$ types of crude oil: crude $1,2,$ and $3.$

Sunco can purchase up to $5,000$ barrels of each type of crude daily.

Each gasoline type has octane and sulfur content requirements.

Each crude oil type has a different octane and sulfur level.

It costs $$4$ to transform $1$ barrel of oil to one barrel of gasoline.

Can produce up to $14,000$ barrels of gasoline daily.

Each dollar spent in advertising increases demand by $10$ barrels.

$\backslash$table$[[$Gas$,\backslash$table$[[$Sales$],[$Price per$],[$Barrel $($$$)]],\backslash$table$[[$Octane$],[$Rating$]],\backslash$table$[[$Sulfur$],[$Content$],[(\%)$