Gaermont Oils must schedule two blending processes. When process 1 is carried out for one hour, 80 barrels of domestic oil and 220 barrels of imported oil are consumed. Similarly, when the 2 process is carried out for an hour, 120 barrels of domestic oil and 180 barrels of imported oil are consumed. Regarding production, process 1 generates 4000 gallons of gasoline and 1750 gallons of diesel per hour of operation. Process 2 generates 3,500 gallons of gasoline and 2,250 gallons of diesel, per hour. For the next production run, 12,000 barrels of domestic oil and 18,000 barrels of imported oil are available. Sales contracts require a minimum of 280,000 gallons of gasoline and 120,000 gallons of diesel to be manufactured. On the other hand, the energy secretariat has issued an opinion that limits the total production of diesel to a maximum of 60% of the gasoline that is manufactured. Set up a linear programming model to determine the production schedule that maximizes the total contribution. Contributions to earnings per hour of operation are $ 1,000 and $ 1,400 for processes 1 and 2, respectively. What is the maximum profit Gaermont can achieve under these conditions?