While it is true that $1M in pricing improvements would have the same impact as an equivalent $1M reduction on variable costs, pricing's placement on the income statement provides it with leverage over smaller cost buckets - thus making it much more likely for organizations to have $1M in pricing improvements available to them vs. $1M in cost reduction.

As the above diagram depicts, this sample organization would need to cut variable costs by 2.9% to have the same impact as a 1% increase in price. Fixed costs would likewise require a 4.3% reduction to have a similar impact. Organizations looking to take their profits to the next level need to understand cutting costs will only take you so far - as pricing has the ability to take you 3-4x further at similar levels of effort.
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