Ayayai Company enters into a contract with a customer to build a warehouse for $$400100,$ with a performance bonus of $$100100$ that

will be paid based on the timing of completion. The amount of the performance bonus decreases by $20\%$ per week for every week

beyond the agreed$-$upon completion date. The contract requirements are similar to contracts that Ayayai has performed previously,

and management believes that such experience is predictive for this contract. Management estimates that there is a $50\%$ probability

that the contract will be completed by the agreed$-$upon completion date, a $30\%$ probability that it will be completed $1$ week late, and a

$20\%$ probability that it will be completed $2$ weeks late. What is the total transaction price for this revenue arrangement?

$$460160$

$$480180$

$$500200$

$$486186$