Answer
No
Work Step by Step
Using one unit of each of the four resources would cost $9$. You would make 3 bars for $9$ while the current cheapest option is 5 bars for $13$. Making 3 bars for 9 dollars can be reduced to 3 dollars a bar. Making 5 bars for 13 dollars can be reduced to 13/5 dollars a bar, or $2.60$, which is less than 3. Therefore, Technique 2 for 5 bars is still preferable to one of each unit for 3 bars and firms will not prefer the new technique.