Minimum sum What two positive real numbers whose product is 50 have the smallest possible sum?

Solution Step 1: Given data Consider two positive real numbers x and y Product of x and y is constraints which is 50 that is xy=50 Sum of x and yis objective function S=x+y Step 2 The first step is to use the constraints to express the objective function S in terms of single variable For this xy=50 y = 50 x Step 3: Step 3: Substituting for y the objective function S becomes S=x+y S=x+ 50 x 50 S=x+ x Which is the function of single variable x