Rob Livesey is a livestock farmer near Lilliesleaf in the Scottish Borders, he told ITV Border:
"We are extremely disappointed that not all British supermarkets are supporting British products, especially at this time of year when lamb is coming into season.
"Consumers always want to buy a British product if they can because they know it supports the British economy, so it is disappointing that supermarkets are looking after shareholders rather than customers and suppliers."
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More than 2,000 athletes are expected to compete in the games over the next week. It is 24 years since the UK last hosted the games.