Program A runs $15$ billion instructions on a $3$ GHz processor, and achieves a CPI of $1\mathrm{.}65.$ Introduction of a new instruction to the ISA $($and recompiling the code$)$ reduces the number of instructions to $11$ billion and also results in an overall speedup of $1\mathrm{.}4.$ What is the CPI for the new code on the improved processor? $($Consider operating frequency remains the same$)$

CPInew $=$