find positive numbers x and y satisfying the equation xy = 10 such that the sum 5x + y is as small as…

find positive numbers x and y satisfying the equation xy = 10 such that the sum 5x + y is as small as possible. let s be the given sum. what is the objective function in terms of one number, x? s = 5x + 10/x (type an expression.) the interval of interest of the objective function is (simplify your answer. type your answer in interval notation.)
Answer
Explanation:
Step1: Determine the domain of x
Since x is a positive number, x > 0.
Step2: Write the interval
The interval of interest for x in interval - notation is (0, +\infty).
Answer:
(0, +\infty)