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 = (type an expression.)

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 = (type an expression.)

Answer

Explanation:

Step1: Express y in terms of x

Given $xy = 10$, then $y=\frac{10}{x}$.

Step2: Substitute y into the sum formula

The sum $S = 5x + y$. Substituting $y=\frac{10}{x}$ into it, we get $S=5x+\frac{10}{x}$.

Answer:

$5x+\frac{10}{x}$