$12.$ Bee Construction Company was the low bidder on a construction project to build an earthen dam for $$1,800,000.$ The project was begun in $2023$ and completed in $2024.$ Cost and other data are presented below:

$20232024$

Costs incurred during the year $$450,000$ $$1,100,000$

Estimated costs to complete $1,050,0000$

Assume that Bee recognizes revenue on this contract over time according to percentage of completion. What is the amount of gross profit recognized during $2023?$

a$.$ $$90,000$

b$.$ $$160,000$

c$.$ $$300,000$

d$.$ $$100,000$