2. A wine dealer sells a type of Washington wine and a type of Idaho wine. The expected weekly profits from the sale of the two wines is P(x, y) = 3x2 + 6xy y2 + 50x + 34y 800 dollars where X is the number of bottles of Washington wine and y is the number of bottles of Idaho wine sold weekly. (a) Find PX(2O. 30). Write a sentence describing what this number represents in the context of the problem. (b) If the dealer can only stock a total of 40 bottles of the two wines together, how many of each type should be stocked at the beginning of each week to maximize profits from the sale of the two wines? Use the Lagrange equation to solve this problem. The constraint equation is x+y = 40. Round your answer to the nearest whole digit