There are 8 rows of apple trees. each row has 7 trees. write two multiplication sentences that show the total number of apple trees.

8*7=56 7*8=56

The only 2 ways to write these numbers (7,8) in a multiplication sentence and equals 56

You can use other multiplication symbols like: *,×,^,•

We're looking for two positive numbers that satisfy this constraint:

The question is, how would we find the maximum? Well, we can solve for y to get:

Now, we sub our new found y value into the product to get:

So, to find the extrema of this we have to figure out when the derivative is 0, so:

That would mean our second number would be 38, and the maximum product would be