please share matlab or other software code if used.

1. Natural Oats is selling bushels of oats to food processing plants, and is trying to determine how many bushels it should produce and sell over the next two years. If the company produces x million bushels during year 1, each bushel can be sold for $(40 - x). If the company produces x2 million bushels during year 2, each bushel can be sold for $(45 - x2). The cost of growing a million bushels in year 1 is 0.5x million dollars, and the cost of growing 22 million bushels in year 2 is 2x3 million dollars. No more than 35 million bushels may be produced, at most $250 million can be spent on production, and no more than 40% of total production over the two years may occur during year 2 (a) Formulate a nonlinear programming problem (NLP) to help Natural Oats max- imize profits (revenues - costs) for the next two years subject to the stated con- straints. Provide descriptive labels for the functional constraints. (b) Which of the four main assumptions of linear programming does the model you created in part (a) violate? Explain. (e) What additional assumptions (if any) are you making in your formulation in part (a)