$(16)$ Tasty Sauce, Inc. is currently comparing their current use of traditional costing with what results would look like if they had instead implemented Activity$-$Based Costing $($ABC$).$ This company creates two products: regular soy sauce and sodium$-$free soy sauce. They will be producing $125,000$ bottles of regular soy sauce and $108,000$ bottles of sodium$-$free soy sauce. Under traditional costing, Manufacturing Overhead $($MOH$)$ is allocated at $$43,760\mathrm{.}80$ to regular soy sauce and $$16,482\mathrm{.}20$ to sodium$-$free soy sauce. In ABC, MOH is allocated at $$39,802\mathrm{.}62$ to regular soy sauce and $$20,440\mathrm{.}38$ to sodium$-$free soy sauce. Which of the following is true?

A$)$ Unit cost will be higher for regular soy sauce under ABC than traditional costing.

B$)$ Unit cost will be higher for regular soy sauce under traditional costing than ABC.

C$)$ Unit cost will be higher for sodium$-$free soy sauce under traditional costing than ABC.

D$)$ Unit cost will be lower for sodium$-$free sauce under ABC than traditional costing.