Question #1 (15 points) A manufacturing facility produces two types of heavy machine equipment used in mining industry, Model 1 and Model 2. Model 1 requires 4,000 labor hours, 2 tons of steel and 2,000 board-feet of plastic. Model 2 requires 10,000 labor hours, 3 tons of steel, and 2,000 board-feet of plastic. Due to COVID-19 situation, the lead time of receiving supplies is long and therefore, the facility will be forced to rely on its recourses to fulfil the demand for the upcoming year. It has 400,000 hours of labor, 150 tons of steel, and 200,000 board-feet of plastic. What mix of model 1 and 2 should the facility make if the profit of Model 1 is $10,000 and Model 2 is 20,000 per unit? Assume that the facility will be able to sell all units produced. (Use the graphical solution method to solve the resulting problem)