Janes Company provided the following information on intangible assets:

a$.$ A patent was purchased from the Lou Company for $$700,000$ on January $1,2022.$ Janes estimated the remaining useful life of the patent to be $10$ years. The patent was carried on Lou's accounting records at a net book value of $$350,000$ when Lou sold it to Janes.

b$.$ During $2024,$ a franchise was purchased from the Rink Company for $$500,000.$ The contractual life of the franchise is $10$ years and Janes records a full year of amortization in the year of purchase.

c$.$ Janes incurred research and development costs in $2024$ as follows:

$\backslash$table$[[$Materials and supplies,$$140,000$