Ask a New Question

Find two positive numbers that satisfy the given requirements: The product is 147 and the sum of the first number plus three times the second number is minimum

1 answer

x y = 147 so x = 147/y

x + 3 y = a

147/y + 3 y = a

da/dy = 0 for max or min = 3 -147/y^2

y^2 = 147/3 = 49

y = 7
x = 147/7 = 21 so x = 21 and y = 7

Ask a New Question or answer this question.

Similar Questions

The sum of two positive numbers is 90. Find a function that models their product P in terms of x, one of the numbers.
1. 1 answer
the sum of N positive integers is 19. what is the maximum possible product of these N numbers?thx. Nice problem. Let's look at
1. 29 answers
Let $x$, $y$, and $z$ be positive real numbers that satisfy\[2 \log_x (2y) = 2 \log_{2x} (4z) = \log_{2x^4} (8yz) \neq 0.\] The
1. 2 answers
Find two positive numbers such that the sum of the first and twice the second is 100 and their product is a maximum.
1. 1 answer

more similar questions