If you do the sinsitivity analysis with the solution that would be graet :)

5) Homework Problem: A fertilizer manufacturer has just received a contract to supply 10,000 tons of 3-12-12 fertilizer. The guaranteed composition of this fertilizer is (by weight) at least 3% nitrogen, 12% phosphorus and 15% potash. The fertilizer can be mixed from any combination of the raw materials described in the table below. Current Raw Material % Nitrogen $ Phosphorus % Potash World Price/Ton AN SP CP BG 50 1 2 1 0 40 4 15 0 5 35 17 $19 18 17.50 21.50 The raw materials are purchased per ton. The fertilizer company also has an option to purchase 3-12-12 fertilizer from another company at $19.50/ton. Assuming the cost of mixing and transportation is zero, should the company buy fertilizer from the second company or mix their own? If the company should mix their own fertilizer, what is the proportion of each ingredient