Carrington Oil produces two types of gas (Gas 1 and Gas 2) from two types of crude oil: heavy and light. Assume that one barrel of crude results in one barrel of gas. Gas 1 sells for $72 per barrel, Gas 2 sells for $84 per barrel. The cost per barrel of each crude, their availability, and the level of impurities in each crude are listed below. Heavy crude Light crude oil oil Cost per barrel $58 $85 Availability (barrels) 8.000 7,000 Impurity percentage 12% 4% - Up to 4,200 barrels of Gas 1 can be sold; no more than 65% of all gas that is produced can be Gas 2. - Gas 1 can contain up to 8% impurities and Gas 2 can contain up to 5% impurities. Use the following decision variables: H, = amount of heavy crude used for Gas 1 (in barrels) H2 = amount of heavy crude used for Gas 2 (in barrels) Ly = amount of light crude used for Gas 1 (in barrels) L2 = amount of light crude used for Gas 2 (in barrels) Formulate the standard LP model for this problem to maximize profit:\fO a) PROFIT 16 H1 + 28 H2 7 L1 + 19 L2