Question

Maxima and minina...

1.) The sum of one number and two times a second number is 24. What numbers should be selected so that their product is as large as possible?

Answer 1

I had a go at this question; but I did it wrong. Do you want me to post it?

Answer 2

yeah.

Answer 3

U have x+2y=14 so maybe multiply through by x gives

x^2+2yx =14x ->yx=12x -x^2/2

Treating yx as some f(x) and differentiate

12-x = 0 for max x=12 giving a product of 72

(cf x= 10, product 70 or x=14, product 70)

Not entirely sure about the mathematical legitimacy of this...