The study investigates the cost of nutritionally adequate and low-GHGE diets in Finland, using optimization models. Minimum cost diets significantly reduce carbon footprints and expenses but lack diversity and cultural acceptability. The culturally acceptable diets, while slightly cheaper and with lower climate impact than current diets, highlight that affordability isn't the main barrier; cultural acceptability is. Reducing GHGE further decreases diet costs. The study concludes that sustainable dietary changes should focus on taste, convenience, and social norms alongside nutrition and affordability.