The division of Amstrad is run by chief executive Simon Sugar, Alan Sugar's son, while this year's winner of The Apprentice, Lee McQueen, is development director.
Sugar said: "We believe digital signage has great potential to create additional revenue streams for a range of brands and retailers.
"Customers can now control their own media in real-time. This makes it the most easy-to-manage, cost-effective digital signage solution on the market," he added.
Amscreen claimed that in a recent trial in WHSmith stores, sales of targeted items grew by more than 13%.
David Harland, Lloyds Pharmacy's head of retail planning and future pharmacy, said: "We are always looking for ways to improve the customer experience and believe this product can help us with this."
The 15-inch LCD screens will carry advertisements, customer information and promote health services. They can be updated remotely from the Amscreen head office via wireless technology.
They will initially be rolled out in pharmacies in Birmingham and Oxford.
Alan Sugar's apprentice takes on digital signage
Lloyds Pharmacy has teamed up with Sir Alan Sugar's new digital signage company, Amscreen, to launch bespoke 'plug in and play' advertising screens in its stores.