Regarding can/could:
Could is used to express a conditional statement. With could, you are saying if condition x, then i am able to y. A full conditional statement will have two clauses, one containing could and the other expressing the condition - either may be omitted if context supplied that information earlier, though.
Can just means is able to and doesn't necessarily have to be connected with a condition, though it often is. (As an aside, could can also be the past tense form of can.)
Some examples to illustrate:
I could make more money if I go to school and get a degree. (Conditional statement.)
I can make more money by getting a degree from a school. (Expresses a conditional idea IMHO but not really a conditional statement.)
And of course you'll hear in real-life speech people using these two interchangeably.
In your sentence I would use can because you don't have a second clause that expresses a condition, to me you are saying we can do by using {object} more than we could do X if {clause}.
Regarding even:
In this way I suppose we shall have a better result, even.
Even can be an adverb and like most adverbs it is flexible where it can be placed. However, where you have it, it seems to convey "additional" because it seems to modify the entire clause "In this way I suppose we shall have a better result." Similar to this:
He gave me 500 dollars. I can buy food, and talk to a repair person about fixing my windows, even.
Here, food is the primary benefit, and clothes is an additional "side" benefit. Even would seem weird if I did not mention an initial benefit, unless context/previous conversation filled in the blanks. Unless I'm missing something there seems to be only one "benefit" provided in your sentence (unless "different optimization models" is that other benefit.)