Suppose that we can improve the floating point instruction performance of the machine by a factor of $5($i$.$e$.,$ the same floating point instructions run $5$ times faster on this new machine$).$ A new class of programs need to be run with this improved machine, where these programs may have mix of I and F instructions, while $10\%$ of instructions still deal with data access operations. Calculate the maximum and minimum possible improvement in overall CPI. Explain your reasoning.

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