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.

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