If they company is selling food, then I'd go with the simple "customer financing". Depending on the actual context in a real text, "food service" would be a given.

I can also live with financing of the food service industry as answered above.

A more comprehensive term which could include the following. Given the lack of information, I would prefer this option.

The food industry is a complex, global collective of diverse businesses that together supply much of the food energy consumed by the world population. Only subsistence farmers, those who survive on what they grow, can be considered outside of the scope of the modern food industry.

The food industry includes:

Regulation: local, regional, national and international rules and regulations for food production and sale, including food quality and food safety, and industry lobbying activities
Education: academic, vocational, consultancy
Research and development: food technology
Financial services insurance, credit
Manufacturing: agrichemicals, seed, farm machinery and supplies, agricultural construction, etc.
Agriculture: raising of crops and livestock, seafood
Food processing: preparation of fresh products for market, manufacture of prepared food products
Marketing: promotion of generic products (e.g. milk board), new products, public opinion, through advertising, packaging, public relations, etc.
Wholesale and distribution: warehousing, transportation, logistics