Problem Statement: The number of items sold is given by a price-demand function p p=100.0004x and the cost C(x)=400+4x+0.0001x2 Where x stands for the quantity of the product produced and p for the unit price. Use the mathematical skills in optimization to determine 1. the optimal quantity produced (x) 2. the optimal price p 3. the minimum cost C 4. the maximum revenue R 5. the the maximum profit P Please show all calculations you have done with steps labeling each calculation like the critical values. Instructions: Overall instructions for submission: You must submit a full solution of the problem properly typed (or clearly handwritten) and a total of two graphs with proper labels and relevant information must me tagged properly like the break-even point and any maxima/minima