To answer the request of Lama Ibu fexel that serves market conditions, the demand for mild steel is Qx = 12 - 1 / 3Px, the demand for nails is Qy = 8 - 1 / 5Py, and the total production cost function (TC) is Qx2 + 2QxQy + 3Qy2 Help Mrs. Ani find: (1) the optimal number of products and product prices, (2) optimal profit, and (3) convince Mr. Kinley that this is an extreme maximum score. In seeking the values above, Ibu Ani asks you to use 2 methods: Multivariable optimization without guarantees Multivariable optimization with assurance if total costs are Qx2 + 2 QxQy + 3 Qy2 = 100.