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CFAI text V5 R41: Multiplier for futures

On P356, q is defined as "multiplier" with the unit of $ and the multipliers of the future contracts in elsewhere in this reading are always with the of $.

Since I think that the futures prices are with the units of $ (as f on P356 and elsewhere in this reading) and this shall be a common sense, then why "multiplier" can be with the unit of $ ?

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