1. minimise z = X1X2 + x3 .2 subject to x + xž + x = 1

A poster consists of a printed area and margins(See image). The area of the entire poster is A = 600 square inches. The goal is to find the dimensions and y that maximizes the printed area. A = 3" The area of the printed part, as a function of x and y is Now, A'(x) = X = y = Use the substitution principle to rewrite the area as a function of x. Hint: You are given the area of the total poster. A = A(x) = To determine optimal values, we need to look at A'(x) = 0. Solving for x and, ultimately for y, yields inches inches 2" X O 2" one ore. te y What is the maximum area of the printed part? A = C 3" square inches

this is an impicit function how do i know that (1,3) is on the curve?

Find the maximum of U.  Find the optimum using the the Lagrangian method:   U=x1^(1/2) * x2^(1/2) given 50=5x1+10x2