Problem 3. A fertilizer company blends silicon and nitrogen to produce two types of fertilizers. Fertilizer 1 must be at least 50% nitrogen and sells for $77.00 per pound. Fertilizer 2 must be at least 70% silicon and sells for $55.00 per pound. The company can purchase up to 8,000 pounds of nitrogen at $22.00 per pound and up to 10,000 pounds of silicon at $16.00 per pound. Assuming that all fertilizer produced can be sold, create a linear programming model to determine how the company can maximize its profit. Purchase costs Nitrogen Silicon Fertilizer 1 Fertilizer 2 Selling prices Minimum nitrogen in fertilizer 1 (%) Minimum silicon in fertilizer 2 (%) Available Blending plan (pounds of inputs into pounds of outputs) Fertilizer 1 Fertilizer 2 Nitrogen Silicon Total 0 0 Nitrogen constraint Actual Silicon constraint Actual >= Required Required Total cost Total revenue Profit