The present invention provides, inter alia, an improvement in the production of a desired product from yeast, wherein the growth rate and fermentation rate of the yeast are maintained at excellent levels. The present invention also provides, inter alia, for the introduction of a foreign gene into a yeast host cell, wherein the foreign gene encodes an enzyme involved in the production of a desired product. The yeast may also constitutively express a HAP4 gene, or a homologous gene thereof, to significantly improve the ability of the yeast to produce the desired product while maintaining its growth rate and fermentation rate. In some embodiments, a yeast mutant is used which is a mutant strain having lowered alcohol productivity vis-à-vis a wild-type strain.