Stewart, the owner of ABC Construction, agreed with Joan, the owner of XYZ Hotel, that he would complete renovations on her upscale hotel on the beach in Florida by October $1.$ The amount due to Stewart under the contract was $$250,000.$ The contract contained a clause by which Stewart would pay Joan $$50,000$ for each day he was late on completing the project. Unfortunately, an unexpected strong earthquake shook the area, and while the earthquake did not damage the hotel itself, Stewart encountered significant difficulty in getting supplies due to the high demand for building material following the earthquake. Because he believed that traveling himself to other states to obtain supplies would be prohibitively expensive, he delayed the project for