Go back
Max.Min.

Max.Min.

Posers and Puzzles

Vote Up
Vote Down

Try these...

1. Divide 12 into two parts so that their product is a maximum.

2. A piece of wire 24cm long is bent to form a rectangle. Find the dimensions of the rectangle which has the maximum area.

3. Two numbers differ by 6. If the square of the larger number exceeds twice the smaller number by an amount D, what is the maximum value of D?

Vote Up
Vote Down

Originally posted by elopawn
Try these...

1. Divide 12 into two parts so that their product is a maximum.

2. A piece of wire 24cm long is bent to form a rectangle. Find the dimensions of the rectangle which has the maximum area.

3. Two numbers differ by 6. If the square of the larger number exceeds twice the smaller number by an amount D, what is the maximum value of D?
1. 6 x 6 = 36
2. 6cm x 6cm
3. Infinty

Vote Up
Vote Down

maybe 3. would make more sense, if it was to determine the minimum for D, which is 11 (for x=1 and y=-5)

How about this:

split 120 into a sum of two numbers so that the product of the first number with the square of the second number will be max.

Vote Up
Vote Down

Originally posted by crazyblue
maybe 3. would make more sense, if it was to determine the minimum for D, which is 11 (for x=1 and y=-5)

How about this:

split 120 into a sum of two numbers so that the product of the first number with the square of the second number will be max.
40 and 80

with a max of 40*80^2 = 256000


Wow I actually used calc for something outside of school. Who would of thought?

Vote Up
Vote Down

Originally posted by crazyblue
maybe 3. would make more sense, if it was to determine the minimum for D, which is 11 (for x=1 and y=-5)
What about x=3, y=-3?

D=0

Vote Up
Vote Down

Originally posted by XanthosNZ
What about x=3, y=-3?

D=0
That yields D=15

Vote Up
Vote Down

Originally posted by richjohnson
That yields D=15
I missed the twice.

Vote Up
Vote Down

D tends to infinity