We answer Mundici's problem number 3 (D. Mundici. Advanced {\L}ukasiewicz calculus. Trends in Logic Vol. 35. Springer 2011, p. 235): Is the category of locally finite MV-algebras equivalent to an equational class? prove: (i) The is not any finitary variety. (ii) More true: finitely-sorted quasi-variety. (iii) infinitary variety; with operations at most countable arity. (iv) a countably-sorted O...