Final answer:
The claim about Elton Mayo is false; he did not develop the first mathematical model for inventory management, that credit goes to Ford W. Harris. The statement about Enlightenment thinkers is true, as they did reject the idea that wealth is finite. It is also true that Francis Cabot Lowell built the first integrated textile mill in New England.
Step-by-step explanation:
The statement that the first mathematical model for inventory management was developed by Elton Mayo is false. The first widely recognized mathematical model for inventory management was developed by Ford W. Harris in 1913 and is known as the economic order quantity (EOQ) model. Elton Mayo, on the other hand, is best known for his work in human relations and management, particularly for his role in the Hawthorne Studies.
Concerning the Enlightenment thinkers and their views on wealth, it is true that they rejected the mercantilist idea that wealth is finite. They proposed that wealth could, in fact, be created through trade, production, and economic innovation. This was a revolutionary thought at the time, directly challenging the prevailing mercantile system that dominated European economic thought.
Regarding the development of the textile industry in New England, the statement that Francis Cabot Lowell built the first integrated textile mill is true. Lowell founded the Boston Manufacturing Company in Waltham, Massachusetts, creating what is considered the first integrated textile mill in the United States around 1814.