I want 650 portions of soup my recipe yields 24 portions, What is the RCF?
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The RCF is 27.083

Explanation:

a) Data and Calculations:

Yields from standard recipe = 24 portions

To increase the recipe to 650 portions, your will need to multiply 24 by the RCF

b) The RCF (Relative Conversion Factor) is a measure that represents the relationship between total investment in ingredients used for the recipe and the yield portions.  The RCF that can turn 24 portions into 650 portions will need to be increased by a factor of 27.083 (650/24).

c) This can be verified by multiplying 24 * 27.083, which yields a total portion of 650.  This means that for the cook to produce 650 portions from her recipe, she needs to increase the ingredients she used for the 24 portions by a relative conversion factor of 27.083.