Posted by **tony** on Thursday, December 4, 2008 at 9:36pm.

find two positive integers such that the sum of the first number and 4 times the second number is 1000 and the product of the numbers is as large as possible

- calculus -
**Reiny**, Thursday, December 4, 2008 at 11:48pm
let the second number be x,

let the first number be y

so y + 4x = 1000, ---> y = 1000-x

Product = xy

= x(1000-4x)

= 1000x - 4x^2

find d(product)/dx

set it equal to zero and solve for x

comes out very nice.

## Answer this Question

## Related Questions

- algebra - Five times the smallest of three consecutive odd integers is ten more ...
- Calculus - Find two positive numbers that satisfy the requirements: "The product...
- Calculus - Find two positive numbers that satisfy the given requirements. The ...
- calculus - Find two positive numbers that satisfy the given requirements: The ...
- Calculus - Find two positive numbers whose sum is 8 such hat when the cube of th...
- Maths - The number 1000 can be written in several ways as a sum of one or more ...
- 12th Calculus - the sum of two nonnegative numbers is 20. find the number if a. ...
- Grade 8 Math - Can you write them in Mathematical/numbers form I'll solve them ...
- MS. SUE - MATH HELP PLEASE - The sum of five times a number and twice a second ...
- algebra - I have been working this one for awhile and have become more confused...

More Related Questions