It's not a huge number of people on minimum wage that would be affected by an uplift: in the UK in 2014, there were around 1.5M minimum wage jobs, 50% of which in hospitality, cleaning and retail (so, many not full time). The average wage shift would be virtually imperceptible and the extra spending power of those on the minimum wage does not translate to measurably higher prices (in the UK the minimum wage has rarely followed average earnings, and it's difficult-almost-impossible to measure the spending of minimum wage earners separately).