Since you are the expert, you obviously have access to actual data to support your claim. You should not only be able to tell us how much of Subway's cost are labor, and how much are other things. After you tell us that, you should be able to provide actual data to back up your claims.
By the way, are people going to eat more food because they make more money? If that is the way it works, and obesity among poor people is driving up health care costs, wouldn't it make more sense to cut the minimum wage so they will eat less?
Alternatively, you could continue being a pompous ass.
Do you really need actual data to apply common sense? Subway is a franchise, so there is obviously a franchise fee. Subway claims to be cheaper than most fast food, but the bottom line is the owner will pay Subway so much money to set up a business and purchase everything to run that business from Subway, except expenses like labor, rent, electricity, water, sewage, trash removal, taxes and maintenance costs. Obviously, there is a lot of cost just setting up a Subway business, so part of the cost of doing business is what an investment would yield if you just safely invested the money and didn't use it to set up a business. The person is going to have to rent floor space at a strip mall of a certain size and pay to have it converted into an operational Subway business. I would imagine the person will have to buy all the equipment and supplies from Subway, so as inventory is reduced by sales, that inventory will be replaced. The owner will be billed for the inventory by whatever supplier Subway is using in that area. The owner is also going to get billed for all the other expenses mentioned above and incidental bills, like bookkeeping, replacing lights or hiring a snow plow. There will be costs for unemployment insurance or liability insurance for customers and workmen's compensation. There are plenty of costs in the cost of doing business that don't increase with an increase in minimum wage. Minimum wage workers aren't building Subway businesses, taking away their trash or plowing their snow in the winter. There are some jobs in such a business that a minimum wage worker can do and there are some jobs that it might be smarter to pay for better help, like making bread or someone very skilled in food preparation. If the business is located in an area with other fast food competition, it's a good idea to pay someone more who can quickly and accurately run a cash register.
The bottom line is, there are so many other expenses that dampen the cost of a minimum wage increase that it can't be considered the same percentage increase in the cost of doing business, so it can't change the price of the product they are selling that same percentage of increase as a minimum wage increase.
Why is such simple math so complicated to right-wingers? If you are that dumb, you should never attempt to go into business. Try working in trash removal, but avoid getting caught up in the process!