I know how economics works.
I know that there are tons of studies on the effects of minimum wages, few of which show rampant inflation as a result of those laws.
I know that increasing wages generally increases employee retention, which does in fact cost many of these companies -- in lost productivity, training costs, hiring/recruitment costs, administrative overhead....
I know about this crazy thing called inflation. If minimum wages are not adjusted to inflation, then that means the business operators are getting a ~2% annual cut in the cost of labor. Do they use this to cut prices by 2%? Doesn't look that way.
I know that any business is going to face changes in its costs. The cost of raw materials, finished materials, machines, advertising etc go up and down. Consider the price of beef:
Did the price of your favorite fast food burger skyrocket in price in 2014? I'm kinda guessing nah. If they can handle an increase in a key ingredient, I'm sure they can handle the gradual increases in minimum wages.