Asked by tony
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
Answers
Answered by
Reiny
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.
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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