On December $18,$ Intel receives $$250,000$ from a customer as down payment on a total sale of $$2\mathrm{.}50$ million for computer chips to be completed on January $23.$ On January $23,$ the computer chips were delivered and the remaining cash was received from the customer. What journal entries should Intel record on December $18$ and January $23?$ Assume Intel uses the perpetual inventory system, and the computer chips had a total production cost of $$1\mathrm{.}50$ million. $($If no entry is required for a particular transaction$/$event$,$ select $"$No Journal Entry Required" in the first account field. Enter your answers in dollars, not millions. For example, $$5\mathrm{.}5$ million should be entered as $5,500,000.)$

$1.$ Record the collection of cash on December $18.$

$2.$ Record the sale of computer chips inventory and the remaining cash collection on January $23.$

$3.$ Record the cost of inventory sold.